**Factors and Multiples Worksheet for Grade 5**

**Q.1) Check whether 213 is divisible by 2 ?**

a) Yes

b) No

**Q.2) Check whether 6234 is divisible by 3 ?**

a) Yes

b) No

**Q.3) Check whether 3212 is divisible by 4 ?**

a) Yes

b) No

**Q.4) Check whether 7245 is divisible by 5 ?**

a) Yes

b) No

**Q.5) Check whether 4326 is divisible by 6 ?**

a) Yes

b) No

**Q.6) Check whether 6125 is divisible by 8 ?**

a) Yes

b) No

**Q.7) Check whether 8802 is divisible by 9 ?**

a) Yes

b) No

**Q.8) Check whether 3125 is divisible by 10 ?**

a) Yes

b) No

**Q.9) If the HCF of two numbers 5 and 15 is 5. Find their LCM ?**

a) 15

b) 17

c) 11

**Q.10) Which of the following is prime number?**

a) 10

b) 15

c) 5

**Q.11) Which of the following is composite number?**

a) 2

b) 6

c) 7

### Factors and Multiples Worksheet for Grade 5 Explanations

**Q.1) Explanation – Factors and Multiples Worksheet for Grade 5**

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, 213

3 is at ones place

and 3 is not divisible by 2

So, 213 is not divisible by 2

**Correct Answer – b) No**

**Q.2) Explanation – Factors and Multiples Worksheet for Grade 5**

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

In, 6234

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

and 15 is divisible by 3

So, 6234 is also divisible by 3

**Correct Answer – a) Yes**

**Q.3) Explanation – Factors and Multiples Worksheet for Grade 5**

A number is divisible by 4, if the number formed by last 2 digits of that number (ones and tens place) is divisible by 4.

In, 3212

12 is the number formed by tens and ones place.

and 12 is divisible by 4

Therefore, 3212 is also divisible by 4

**Correct Answer – a) Yes**

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

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

In, 7245

5 is the digit at ones place.

So, 7245 is divisible by 5

**Correct Answer – a) Yes**

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

A number is divisible by 6, if it is divisible by both 2 and 3.

Checking Divisibility for 2,

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

In, 4326

6 is at ones place

and 6 is divisible by 2

So, 4326 is also divisible by 2

Checking Divisibility for 3,

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

Since, 4326 is divisible by both 2 and 3

Therefore, 4326 is also divisible by 6

**Correct Answer – a) Yes**

**Q.6) Explanation – Factors and Multiples Worksheet for Grade 5**

A number is divisible by 8, if the number formed by last 3 digits of that number (ones, tens and hundreds place) is divisible by 8

In, 6125

125 is the number formed by ones, tens, and hundreds place digits or the number formed by last 3 digits

and 125 is not divisible by 8

Hence, 6125 is not divisible by 8

**Correct Answer – b) No**

**Q.7) Explanation – **

A number is divisible by 9, if the sum of all the digits of the numbers is divisible by 9.

In, 8802

Sum of its digits = 8 + 8 + 0 + 2 = 18

and 18 is divisible by 9

So, 8802 is also divisible by 9

**Correct Answer – a) Yes**

**Q.8) Explanation – Factors and Multiples Worksheet for Grade 5**

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

In, 3125

5 is at ones place.

So, 3125 is not divisible by 10

**Correct Answer – b) No**

**Q.9) Explanation – **

Given numbers are 5 and 15

HCF = 5

Product of two numbers is always equal to the product of their HCF and LCM

So, a x b = HCF x LCM

Where a and b are two numbers

5 x 15 = 5 x LCM

On Cross Multiplication

(5 x 15)/5 = LCM

LCM = 15

**Correct Answer – a) 15**

**Q.10) Explanation – Factors and Multiples Worksheet for Grade 5**

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

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

Factors of 10 are 2 x 5 x 1

Factors of 5 are 5 x 1

Factors of 15 are 3 x 5 x 1

Here, Factors of 5 are 5 and 1

5 is not divisible by any other number, other than 1 and itself

Therefore, 5 is prime number.

**Correct Answer – c) 5**

**Q.11) Explanation – Factors and Multiples Worksheet for Grade 5**

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 2 x 3 x 1

Factors of 2 are 2 x 1

Factors of 7 are 7 x 1

Here, Factors of 6 are 2 x 3 x 1

6 is divisible by 2 , 6 , 1

Therefore, 6 is composite number.

**Correct Answer – b) 6**