Factors and Multiples Practice Questions

Class 5 · Mathematics · 332 free MCQs with instant results and detailed explanations.

332

Total

107

Easy

191

Medium

Hard

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Topics in Factors and Multiples

Divisibility Rules 86

HCF 97

LCM 59

Prime Factorization 90

Sample Questions from Factors and Multiples

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Easy

What is the prime factorization of 30?

A. 2 x 3 x 5

B. 2 x 15

C. 3 x 10

D. 5 x 6

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Correct Answer: A

The prime factorization of a number is the expression of that number as the product of its prime factors. For 30, the factors are 2, 3, and 5.

Easy

Which of the following numbers is a prime number?

A. 9

B. 11

C. 15

D. 21

Show Answer & Explanation

Correct Answer: B

A prime number is a number greater than 1 that has no positive divisors other than 1 and itself. 11 has only two factors: 1 and 11.

Easy

What is the prime factorization of 56?

A. 2 x 28

B. 4 x 14

C. 2 x 2 x 2 x 7

D. 7 x 8

Show Answer & Explanation

Correct Answer: C

Breaking 56 down into prime factors gives us 2 x 2 x 2 x 7, which can also be written as 2^3 x 7.

Medium

What are the prime factors of 36?

A. 2, 3

B. 2, 2, 3, 3

C. 3, 6

D. 1, 36

Show Answer & Explanation

Correct Answer: B

The prime factorization of 36 is 2 × 2 × 3 × 3, which can also be written as 2² × 3².

Medium

Which of the following numbers is a prime number?

A. 21

B. 29

C. 35

D. 49

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Correct Answer: B

A prime number has exactly two distinct positive divisors: 1 and itself. 29 fits this definition.

Medium

If the prime factorization of a number is 2 × 5 × 7, what is the number?

A. 70

B. 30

C. 25

D. 50

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Correct Answer: A

Multiplying the prime factors gives 2 × 5 = 10 and then 10 × 7 = 70.

Medium

What is the least common multiple (LCM) of 6 and 8?

A. 24

B. 12

C. 48

D. 18

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Correct Answer: A

The LCM of two numbers is the smallest number that is a multiple of both. The LCM of 6 and 8 is 24.

Hard

What is the highest common factor (HCF) of 36 and 60?

A. 12

B. 18

C. 24

D. 30

Show Answer & Explanation

Correct Answer: A

The HCF of two numbers is the largest number that divides both without leaving a remainder. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36 and for 60, they are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60. The common factors are 1, 2, 3, 4, 6, 12, and the highest is 12.

Hard

Which of the following pairs has the HCF equal to 1?

A. (8, 15)

B. (14, 49)

C. (18, 24)

D. (12, 30)

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Correct Answer: A

The HCF of 8 and 15 is 1, meaning they are coprime (no common factors other than 1). The other pairs share factors greater than 1.

Q10

Hard

What is the HCF of 28, 56, and 84?

A. 14

B. 28

C. 42

D. 56

Show Answer & Explanation

Correct Answer: B

The factors of 28 are 1, 2, 4, 7, 14, 28; of 56 are 1, 2, 4, 7, 8, 14, 28, 56; and for 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84. The common factors are 1, 2, 4, 7, 14, 28 and the highest is 28.

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Factors and Multiples — Class 5 Mathematics Practice Questions Online

This page contains 332 practice MCQs for the chapter Factors and Multiples in Class 5 Mathematics. The questions are organized by difficulty — 107 easy, 191 medium, 34 hard — so you can choose the right level for your preparation.

Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit. This chapter covers 4 topics, giving you comprehensive coverage of the entire chapter.