# Free Factors and Multiples 02 Practice Test - 5th Grade

### Question 1

___ is a pair of co-prime numbers.

#### SOLUTION

Solution :B

If any two numbers Highest Common Factor is 1, then they are called

co-primeto each other.

HCF of 12 and 15 is 3

HCF of 7 and 15 is 1

HCF of 22 and 48 is 2

HCF of 24 and 36 is 12

Therefore 7, 15 is a pair of co-prime numbers since they have an HCF of 1.

### Question 2

A factorization in which every factor is a prime number is called

#### SOLUTION

Solution :Prime factorization is finding the factors of a number that are all prime. The prime factors of 15 are 3 and 5.

### Question 3

Which of the following is a factor pair of 24?

#### SOLUTION

Solution :D

4 and 6 form a factor pair of 24 as 4×6=24.

2 and 13 form a factor pair of 26 as 2×13=26.

1 and 13 form a factor pair of 13 as 1×13=13.

3 and 12 form a factor pair of 36 as 3×12=36.

### Question 4

The number 7 has ___ multiples.

#### SOLUTION

Solution :D

To get multiples of any number, we multiply counting numbers with that number.

Since there are infinite counting numbers, multiples of any number are also infinite.

### Question 5

All the multiples of 9 are also the multiples of

#### SOLUTION

Solution :B

9=3×3

⇒ 9 is a multiple of 3

Hence any multiple of 9 will also be a multiple of 3.

### Question 6

The difference between the largest factor and the smallest factor of 100 is ___

#### SOLUTION

Solution :A

The smallest factor of any number is 1 and the highest factor of any number is the number itself.

Therefore, the difference between the highest and the smallest factor of 100 is, 100−1=99

### Question 7

72 books were arranged equally on 8 shelves. How many books are there on each shelf?

#### SOLUTION

Solution :B

Number of books = 72

Number of shelves = 8

Therefore, books on each shelf = 72 divided by 8 = 9

### Question 8

The product of two numbers is 228. If their HCF is 12, then what will be their LCM?

#### SOLUTION

Solution :C

HCF of two numbers × LCM of two numbers = Product of the two numbers

12×LCM=228

LCM =22812=19

### Question 9

What is the least number that is exactly divisible by 15, 10 and 16?

#### SOLUTION

Solution :B

The least number that is exactly divisible by 15, 10 and 16 is the LCM of the three numbers.

215,10,16215,5,8215,5,4215,5,2315,5,155,5,11,1,1

LCM of 15, 10 and 16 =2×2×2×2×3×5=240

### Question 10

What is the sum of the first 5 prime numbers?

#### SOLUTION

Solution :C

First five prime numbers are: 2, 3, 5, 7, 11

Product of first five prime numbers is 2+3+5+7+11=28