**Download Factors and Multiples Worksheet Grade 4**

**Q.1) Determine whether 6 is the factor of 40 ?**

a) Yes

b) No

**Q.2) Determine whether 48 is the multiple of 8 ? **a) Yes

b) No

**Q.3) Find the first four multiples of 9 ? **a) 9 , 18 , 27 , 36

b) 9 , 18 , 36 , 72

**Q.4) Find first two common multiples of 2 and 8 ?**

a) 8 and 16

b) 8 and 14

**Q.5) Check whether 3464 is divisible by 2?**

a) Yes

b) No

**Q.6) Check whether 4326 is divisible by 3?**

a) Yes

b) No

**Q.7) Check whether 36383 is divisible by 5 ?**

a) Yes

b) No

**Q.8) Check whether 53540 is divisible by 10 ?**

a) Yes

b) No

**Q.9) Is 9 is a Prime number?**

a) Yes

b) No

**Q.10) Is 6 is a Composite number?**

a) Yes

b) No

### Factors and Multiples Worksheet Grade 4 Explanations

**Q.1) Explanation – Factors and Multiples Worksheet Grade 4**

The factors of a numbers are those numbers by which that number is completely divisible, with a remainder of 0

When we divide 40 by 6

i.e, 40 ÷ 6

We get,

Quotient = 6

Remainder = 4

Here we will see that the remainder is 4 because 40 is not exactly divisible by 6

Hence, we can say that 6 is not the factor of 40 .

**Correct Answer – b) No**

**Q.2) Explanation – Factors and Multiples Worksheet Grade 4**

If 48 is the multiple of 8 , then the remainder is 0, when 48 is divided by 8 remainder should be equal to 0.

When we divide 48 by 8

i.e, 48 ÷ 8

Quotient = 6

Remainder = 0

Here we will see that the remainder is 0

Hence, we can say that 48 is the multiple of 8

**Correct Answer – b) Yes**

**Q.3) Explanation – Factors and Multiples Worksheet Grade 4**

The multiple of 9 will be as follows:

9 x 1 = 9

9 x 2 = 18

9 x 3 = 27

9 x 4 = 36

Hence, 9 , 18 , 27 and 36 are the first four multiples of 9

**Correct Answer – a) 9 , 18 , 27 , 36**

**Q.4) Explanation – Factors and Multiples Worksheet Grade 4**

Common multiples are those multiple which are multiple of all the given numbers.

Multiples of 2 are 2 , 4 , 6 , 8 , 10 , 12 , 14 , 16 , 18 , ……..

Multiples of 8 are 8 , 16 , 24 , 32 , 40 , ……..

So, the first two common multiples are 8 and 16

**Correct Answer – a) 8 and 16**

**Q.5) Explanation – Factors and Multiples Worksheet Grade 4**

A number is divisible by 2, if the digit at ones place of that number is divisible by 2 or digit at ones place is 0, 2, 4, 6, 8.

In,3464

4 is at ones place

and 4 is divisible by 2

So,3464 is also divisible by 2

**Correct Answer – a) Yes**

**Q.6) Explanation – Factors and Multiples Worksheet Grade 4**

A number is divisible by 3, if the sum of all the digits of the numbers are divisible by 3.

In, 4326

Sum of its digits = 4 + 3 + 2 + 6 = 15

and 15 is divisible by 3

So, 4326 is also divisible by 3

**Correct Answer – a) Yes**

**Q.7) Explanation – Factors and Multiples Worksheet Grade 4**

A number is divisible by 5 if the digit at ones place is either “0” or” 5″.

In, 36383

3 is the digit at ones place.

So, 36383 is not divisible by 5

**Correct Answer – b)No**

**Q.8) Explanation – Factors and Multiples Worksheet Grade 4**

A number is divisible by 10 if the digit at ones place is 0.

In, 53540

0 is at ones place.

So, 53540 is divisible by 10

**Correct Answer – a) Yes**

**Q.9) Explanation – Factors and Multiples Worksheet Grade 4**

Prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself

In other words, we can say prime numbers don’t have any factor other than 1 and itself.

Factors of 9 are

9 ÷ 1 = 9

9 ÷ 3 = 3

9 ÷ 9 = 1

9 is divisible by 1 , 3 and 9

therefore, 9 is not a Prime number.

**Correct Answer – b) No**

**Q.10) Explanation – Factors and Multiples Worksheet Grade 4**

Composite numbers are divisible by one or more numbers other than 1 and itself.

In other words, we can say that numbers having more than two factors are composite numbers.

Factors of 6 are 1 x 6 , 2 x 3 , 3 x 2 and 6 x 1

Factors of 6 are 1 , 2 , 3 and 6

Therefore, 6 has more than two factors.

Hence, 6 is a Composite number.

**Correct Answer – a) Yes**