# Factors and Multiples Worksheet for Grade 5

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

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

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

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

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

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

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

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

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

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.