Envision Mathematics Grade 4 topic 7

How many arrays can Maggie make with 24 steppingstones?

• 2

• 4

• 6

• 8

Answer explanation

1 x 24, 2 x 12, 3 x 8, 4 x 6, 24 x 1, 12 x 2, 8 x 3, 6 x 4

Which of the following numbers is a factor of 16?

• 3

• 4

• 9

• 12

Answer explanation

4 x 4 = 16

Which of the following numbers is a multiple of 16?

• 8

• 24

• 32

• 40

Answer explanation

2 x 16 = 32

Which statement is true?

• The only factors of 6 are 6 and 1; therefore, 6 is composite.

• The only factors of 3 are 3 and 1; therefore, 3 is prime.

• The only factors of 14 are 14 and 1; therefore, 14 is prime.

• The only factors of 51 are 51 and 1; therefore, 51 is composite.

Answer explanation

A number with only 2 factors is prime.

Is the number 31 prime or composite?

• Prime

• Composite

• Neither

• Both

Answer explanation

Prime, because it only has one factor pair; 1 and 31.

Write 3 multiples and 3 factors for 18.

• Multiples: 18, 36, 54; Factors: 1, 2, 4

• Multiples: 18, 27, 45; Factors: 1, 3, 6

• Multiples: 18, 36, 54; Factors: 1, 3, 6

• Multiples: 18, 30, 42; Factors: 1, 2, 9

Answer explanation

Multiples of 18: 18, 36, 54

Factors of 18: 1, 2, 3, 6, 9, 18

Which lists all the factors of 24 that are also composite numbers?

• 1, 24

• 1, 2, 3, 4, 6, 8, 12, 24

• 2, 3, 4, 6, 8, 12, 24

• 4, 6, 8, 12, 24

Answer explanation

1 is neither prime of or composite.

2 and 3 are both factors of 24 but they are prime numbers.

Select all the true statements.

• 33 is a composite number.

• 52 is a multiple of 13.

• 5 is a factor of 33.

• 64 has more than two factors.

Answer explanation

33 has more than one factor pair; 1, 33, and 3, 11.

54 divided by 13 is 4.

Factors of 64: 1, 2, 4, 8, 16, 32 and 64

Kurt says factors and multiples are related. Use the equation 5 × 5 = 25 to describe the relationship between factors and multiples.

• 5 is a factor of 25, and 25 is a multiple of 5.

• 5 is a multiple of 25, and 25 is a factor of 5.

• 5 is a factor of 5, and 25 is a multiple of 25.

• 5 is a factor of 25, and 5 is a multiple of 25.

Answer explanation

25 is divisible by 5 because 5 is a factor of 25.

We also know that we can reach 25 when skip counting by 5s because 25 can be divided by 5 evenly (with no remainders)

Patrice’s Pastries sells cookies in packs of 4. A caterer needs between 37 and 45 cupcakes for dessert. Name two possible numbers between 37 and 45 that are multiples of 4.

• 36 and 40

• 38 and 42

• 40 and 44

• 37 and 41

Answer explanation

4 x 10 = 40 , and 4 x 11 = 44

Any other multiples of 4 would be too big or too small- such as 36 or 48