Question

1. Can you see the pattern in the following series of multiplications?

Fill in the rest of the chart with the correct numbers.
37 × 3 = 111
37 × 6 = ?
37 × 9 = ?
37 × ? = ?
37 × ? = 555
37 × ? = ?
37 × ? = ?
37 × ? = ?
37 × ? = ?

2. Name the factors in each of the following problems.
a. 6 × 12 = 72
b. 8 × 9 = 72
c. 4 × 4 = 16
d. 3 × 7 = 21

3. Name the multiples in each of the following problems.
a. 5 × 7 = 35
b. 17 × 2 = 34
c. 16 × 4 = 64
d. 11 × 7 = 77

4. Use division to determine whether the following numbers are factors.
Answer yes or no.
a. Is 13 a factor of 39?
b. Is 15 a factor of 342?
c. Is 14 a factor of 201?
d. Is 12 a factor of 228?

5. Indicate whether each of the following numbers is divisible by 3.
Answer yes or no.
a. 27
b. 35
c. 123
d. 402

6. Indicate whether each of the following numbers is divisible by 4.
Answer yes or no.
a. 124
b. 289
c. 304
d. 222

7. Find the prime factors of each of the following numbers.
a. 25
b. 38
c. 36
d. 285
e. 650
f. 1,740

Answer 1

Step-by-step explanation:

no 1

37*6=222

37*9=333

37*12=444

37*15=555

37*18=666

37*21=777

37*24=888

37*28=999

Answer 2

1.37*3=111

37*6=222

37*9=333

37*12=444

37*15=555

37*18=666

37*21=777

37*24=888

37*28=999

The factors are:

a. 6 and 12

b. 8 and 9

c. 4 and 4

d. 3 and 7

The multiples are:

a. 35

b. 34

c. 64

d. 77

a. Yes, because 39 ÷ 13 = 3.

b. No, because 342 ÷ 15 = 22r12.

c. No, because 201 ÷ 14 = 14r5.

d. Yes, because 228 ÷ 12 = 19.

a. Yes; 2 + 7 = 9, and 9 is divisible by 3. (27 ÷ 3 = 9.)

b. No; 3 + 5 = 8, and 8 isn’t divisible by 3.

c. Yes; 1 + 2 + 3 = 6, and 6 is divisible by 3. (123 ÷ 3 = 41.)

d. Yes; 4 + 0 + 2 = 6, and 6 is divisible by 3. (402 ÷ 3 = 134.)

a. Yes; because 24 is divisible by 4. (124 ÷ 4 = 31.)

b. No; 89 isn’t divisible by 4, so 289 isn’t divisible by 4.

c. Yes; because 4 is divisible by 4. (304 ÷ 4 = 76.)

d. No; 22 isn’t divisible by 4, so 222 isn’t divisible by 4.

The prime factors are:

a. 5 and 5 (5 × 5 = 25)

b. 2 and 19 (2 × 19 = 38)

c. 2, 2, 3, and 3 (2 × 2 × 3 × 3 = 36)

d. 3, 5, and 19 (3 × 5× 19 = 285)

e. 2, 5, 5, and 13 (2 × 5 × 5 × 13 = 650)

f. 2, 2, 3, 5, and 29 (2 × 2 × 3 × 5 × 29 = 1,740)

Step-by-step explanation: