grade 4 module 3 lesson 23 homework

• Texas Go Math
• Big Ideas Math
• Engageny Math
• McGraw Hill My Math
• enVision Math
• 180 Days of Math
• Math in Focus Answer Key
• Math Expressions Answer Key
• Privacy Policy

Eureka Math Grade 4 Module 3 Lesson 23 Answer Key

Engage ny eureka math 4th grade module 3 lesson 23 answer key, eureka math grade 4 module 3 lesson 23 problem set answer key.

Question 1. Explain your thinking or use division to answer the following. a. Is 2 a factor of 84? Answer: Yes, 2 is a factor of 84,

Explanation: 84 is a even number, 2 is a factor of every even number, ( 2 X 42 = 84).

b. Is 2 a factor of 83? Answer: No, 2 is not a factor of 83,

Explanation: 83 is a odd number, 2 is not a factor of odd numbers, So 2 is not a factor of 83, (2 X 41 = 82)  and 82 + 1 = 83.

c. Is 3 a factor of 84? Answer: Yes, 3 is a factor of 84,

Explanation:    28 3| 84   -6   24   -24 0 So 3 is a factor of 84.

d. Is 2 a factor of 92? Answer: Yes, 2 is a factor of 92 and 92 is even number,

Explanation:  46 2| 92  – 8  12   -12 0 So 2 is a factor of 92.

e. Is 6 a factor of 84? Answer: Yes, 6 is a factor of 84 and 84 is even number,

Explanation:  14 6| 84  – 6  24   -24 0 So 6 is a factor of 84.

f. Is 4 a factor of 92? Answer: Yes, 4 is a factor of 92,

Explanation:  23 4| 92  – 8   12   -12 0 So 4 is a factor of 92.

g. Is 5 a factor of 84? Answer: No, 5 is not a factor of 84,

Explanation: 84 does not have 5 or 0 in ones place, all the numbers that have 5 as a factor have a 5 or  0 in ones  place, So 5 is not a factor of 84.

h. Is 8 a factor of 92? Answer: No, 8 is not a factor of 92,

Explanation:  11 R4 8| 92  – 8   12   -08 04 So 8 is not a factor of 92 remainder is 4.

Question 2. Use the associative property to find more factors of 24 and 36. a. 24 = 12 × 2 = ( _4__ × 3) × 2 = __4_ × (3 × 2) = _4__ × 6 = __24_ Answer: 24 = 12 X 2 = (4 X 3) X 2 = 4 X (3 X 2) = 4 X 6 = 24,

Explanation: Used the associative property to find more factors of 24 as 24 = 12 X 2 = (4 X 3) X 2 = 4 X (3 X 2) = 4 X 6 = 24.

b. 36 = __9__ × 4 = ( __3__ × 3) × 4 = __3__ × (3 × 4) = __3__ × 12 = _36__ Answer: 36 = 9 X 4 = (3 X 3) X 4 = 3 X (3 X 4) = 3 X 12 = 36,

Explanation: Used the associative property to find more factors of 36 as 36 = 9 X 4 = (3 X 3) X 4 = 3 X (3 X 4) = 3 X 12 = 36.

Question 3. In class, we used the associative property to show that when 6 is a factor, then 2 and 3 are factors, because 6 = 2 × 3. Use the fact that 8 = 4 × 2 to show that 2 and 4 are factors of 56, 72, and 80. 56 = 8 × 7        72 = 8 × 9        80 = 8 × 10 Answer: 56 = 8 X 7 = (4 X 2) X 7 = 4 X (2 X 7) = 4 X 14 = 56,

72 = 8 X 9 = 8 X 9 = (4 X 2) X 9 = 4 X (2 X 9) = 4 X 18 = 72,

80 = 8 × 10 = 8 X 10 = (4 X 2) X 10 = 4 X (2 X 10) = 4 X 20 = 80,

Explanation: Used the fact that 8 = 4 × 2 to showed that 2 and 4 are factors of 56, 72, and 80 as

56 = 8 X 7 = (4 X 2) X 7 = 4 X (2 X 7) = 4 X 14 = 56,

80 = 8 × 10 = 8 X 10 = (4 X 2) X 10 = 4 X (2 X 10) = 4 X 20 = 80.

Question 4. The first statement is false. The second statement is true. Explain why, using words, pictures, or numbers. If a number has 2 and 4 as factors, then it has 8 as a factor. If a number has 8 as a factor, then both 2 and 4 are factors. Answer:  14 2|28   -2    08  -08 0 2 X 14 = 28,  7 4|28   -28    0 4 X 7 = 28,    3, R4 8|28   -24    04 28 has 2 and 4 as factors but not 8,

Explanation: The first statement is false. The second statement is true. If a number has 2 and 4 as factors, then it has 8 as a factor and If a number has 8 as a factor, then both 2 and 4 are factors,  14 2|28   -2    08  -08 0 2 X 14 = 28,  7 4|28   -28    0 4 X 7 = 28,    3, R4 8|28   -24    04 28 has 2 and 4 as factors but not 8, any number that can be divided exactly by 8 can also be divided by 2 and 4 instead, Since 8 = 2 X 4, Example: 8 X 5 = 40, (4 X 2) X 5 = 40.

Eureka Math Grade 4 Module 3 Lesson 23 Exit Ticket Answer Key

Question 1. Explain your thinking or use division to answer the following. a. Is 2 a factor of 34? Answer: Yes, 2 is a factor of 34,

Explanation: 34 is a even number, 2 is a factor of every even number, (2 X 17 = 34),  17 R1 2| 34  – 2   14   -14 0 Yes, 2 is a factor of 34.

b. Is 3 a factor of 34? Answer: No, 3 is not a factor of 34,

Explanation:  11 R1 3| 34  – 3   04   -03 01 So 3 is not a factor of 34 remainder is 1.

c. Is 4 a factor of 72? Answer: Yes, 4 is a factor of 72,

Explanation:  18 4| 72  – 4   32   -32 0 So 4 is a factor of 72.

d. Is 3 a factor of 72? Answer: Yes, 3 is a factor of 72,

Explanation:  24 3| 72  – 6   12   -12 0 So 3 is a factor of 72.

Question 2. Use the associative property to explain why the following statement is true. Any number that has 9 as a factor also has 3 as a factor. Answer: Any number that has 9 as a factor also has 3 as a factor because 3 X 3 = 9,

Explanation: Let’s suppose 9 is a factor of the number N. That means N is 9 times some integer M. N = 9M, Since 9 = 3 × 3, we can also write N as N = 3 × 3 × M, That means N is 3 times some integer (3 × M). So 3 is also a factor of N.

Eureka Math Grade 4 Module 3 Lesson 23 Homework Answer Key

Question 1. Explain your thinking or use division to answer the following. a. Is 2 a factor of 72? Answer: Yes, 2 is a factor of 72,

Explanation: 72 is a even number, 2 is a factor of every even number, (2 X 36 = 72),  36 2| 72  – 6   12   -12 0 Yes, 2 is a factor of 72.

b. Is 2 a factor of 73? Answer: No, 2 is not a factor of 73,

Explanation: 73 is a odd number, 2 is a factor of every even number not odd numbers, (2 X 36 = 72),72 + 1 = 73  36 R 1 2| 73  – 6   13   -12 1 No, 2 is not a factor of 73.

c. Is 3 a factor of 72? Answer: Yes, 2 is a factor of 72,

d. Is 2 a factor of 60? Answer: Yes, 2 is a factor of 60,

Explanation: 60 is a even number, 2 is a factor of every even number, (2 X 30 = 60),  30 2| 60  – 60  0   Yes, 2 is a factor of 60.

e. Is 6 a factor of 72? Answer: Yes, 6 is a factor of 72,

Explanation: (6 X 12 = 72),  12 6| 72  – 6   12   -12 0 Yes, 6 is a factor of 72.

f. Is 4 a factor of 60? Answer: Yes, 4 is a factor of 60,

Explanation: 60 is a even number, 4 is a factor of 60, (4 X 15 = 60),  15 4|60  -4   20   -20 0 Yes, 4 is a factor of 60.

g. Is 5 a factor of 72? Answer: No, 5 is not a factor of 72,

Explanation: 72 is a even number, 72 does not have 5 or 0 in ones place, all the numbers that have 5 as a factor have a 5 or  0 in ones  place, So 5 is not a factor of 72.  14 R 2 5|72  -5   22   -20 2 No, 5 is not a factor of 72.

h. Is 8 a factor of 60? Answer: No, 8 is not a factor of 60,

Explanation: 60 is a even number, 8 is not a factor of 60, (8 X 7 = 56, remainder 4),  7 R 4 8|60  -56   04   No, 8 is not a factor of 60.

Question 2. Use the associative property to find more factors of 12 and 30. a. 12 = 6 × 2 = ( __3_ × 2) × 2 = _3__ × (2 × 2) = _3__ × _4__ = _12__ Answer: 12 = 6 X 2 = (3 X 2) X 2 = 3 X (2 X 2) = 3 X 4 = 12,

Explanation: Used the associative property to find more factors of 12 as 12 = 6 X 2 = (3 X 2) X 2 = 3 X (2 X 2) = 3 X 4 = 12.

b. 30 = __6__ × 5 = ( __2__ × 3) × 5 = __2__ × (3 × 5) = __2__ × 15 = __30__ Answer: 30 = 6 X 5 = (2 X 3) X 5 = 2 X (3 X 5) = 2 X 15 = 30,

Explanation: Used the associative property to find more factors of 30 as 30 = 6 X 5 = (2 X 3) X 5 = 2 X (3 X 5) = 2 X 15 = 30.

Question 3. In class, we used the associative property to show that when 6 is a factor, then 2 and 3 are factors, because 6 = 2 × 3. Use the fact that 10 = 5 × 2 to show that 2 and 5 are factors of 70, 80, and 90. 70 = 10 × 7          80 = 10 × 8       90 = 10 × 9 Answer: 70 = 10 X 7 = (5 X 2) X 7 = 5 X (2 X 7) = 5 X 14 = 70,

80 = 10 X 8 = 10 X 8 = (5 X 2) X 8 = 5 X (2 X 8) = 5 X 16 = 80,

90 = 10 × 9 = 10 X 9 = (5 X 2) X 9 = 5 X (2 X 9) = 5 X 18 = 90,

Explanation: Used the fact that 10 = 5 × 2 to showed that 2 and 5 are factors of 70, 80, and 90 as

70 = 10 X 7 = (5 X 2) X 7 = 5 X (2 X 7) = 5 X 14 = 70,

90 = 10 × 9 = 10 X 9 = (5 X 2) X 9 = 5 X (2 X 9) = 5 X 18 = 90.

Question 4. The first statement is false. The second statement is true. Explain why, using words, pictures, or numbers. If a number has 2 and 6 as factors, then it has 12 as a factor. If a number has 12 as a factor, then both 2 and 6 are factors. Answer:  9 2|18   -18 0 2 X 9 = 18,  3 6|18   -18    0 6 X 3 = 18,    1, R6 12|18   – 12    06 18 has 2 and 6 as factors but not 12,

Explanation: The first statement is false. The second statement is true. If a number has 2 and 6 as factors, then it has 12 as a factor and If a number has 12 as a factor, then both 2 and 6 are factors,  9 2|18   -18 0 2 X 9 = 18,  3 6|18   -18    0 6 X 3 = 18,    1, R6 12|18   – 12    06 18 has 2 and 6 as factors but not 12, any number that can be divided exactly by 12 can also be divided by 2 and 6 instead, Since 12 = 2 X 6.

Leave a Comment Cancel Reply

You must be logged in to post a comment.

• Sherman Elementary School

Eureka math helps students connect math to the real world and solve problems. Homework Helpers is designed to help parents/guardians with Eureka homework. These Helpers explain, step by step, how to work problems similar to those found in Eureka Math assignments.  There is a homework helper to go with every homework assignment. There are other valuable resources for families at  eureka-math.org . 

4th Grade Links

Grade 4 module 1, grade 4 module 2, grade 4 module 3, grade 4 module 4, grade 4 module 5, grade 4 module 6, grade 4 module 7, 5th grade links, 5th grade module 1, 5th grade module 2, 5th grade module 3, 5th grade module 4, 5th grade module 5, 5th grade module 6, 6th grade links, 6th grade module 1, 6th grade module 2, 6th grade module 3, 6th grade module 4, 6th grade module 5, 6th grade module 6.

• Questions or Feedback? |
• Web Community Manager Privacy Policy (Updated) |

Common Core Grade 4 Math (Worksheets, Homework, Lesson Plans)

Looking for video lessons that will help you in your Common Core Grade 4 Math classwork or homework? Looking for Common Core Math Worksheets and Lesson Plans that will help you prepare lessons for Grade 4 students?

The following lesson plans and worksheets are from the New York State Education Department Common Core-aligned educational resources. The Lesson Plans and Worksheets are divided into seven modules.

Related Pages Common Core Math Resources, Lesson Plans And Worksheets Common Core Math Video Lessons, Math Worksheets and Games for Grade 4 Common Core Math Video Lessons, Math Worksheets and Games for all grades

Grade 4 Homework, Lesson Plans And Worksheets

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.