Factors, Multiples, and Prime Numbers Guide

Which of the following describes a multiple of a given number?

• A number that results from multiplying the original number by an integer

• A number that is always less than the original number

• A number that is a decimal of the original number

• A number that has no relation to the original number

Which of the following is a factor of 12?

• 5

• 6

• 7

• 8

What is the method to determine the factors of a given number?

• By adding the number repeatedly

• By multiplying the number by itself

• By identifying numbers that divide it evenly

• By subtracting 2 from the number

What are the final factors of 18?

• The final factors of 18 are 1, 2, 3, 6, 9, and 18.

• The final factors of 18 are 1, 2, 3, 4, 6, and 12.

• The final factors of 18 are 2, 3, 5, 6, 9, and 18.

• The final factors of 18 are 1, 3, 5, 7, 9, and 18.

Which of the following is a prime number?

• 4

• 6

• 7

• 9

What is the only even prime number?

• 2

• 3

• 5

• 7

How can you check if a number is prime?

• By checking if it has only two distinct positive divisors: 1 and itself.

• By checking if it is an even number.

• By checking if it is a multiple of 3.

• By checking if it ends with a 5.

Prime Factorisation is the process of expressing a number as a product of its _______.

• prime factors

• even numbers

• odd numbers

• factors

Fill in the blank: Prime Factorisation of 36 is 36 = 2 × 2 × 3 × ___.

• 1

• 2

• 3

• 4

List all the factors of 28.

• 1, 2, 4, 7, 14, 28

• 1, 2, 3, 4, 6, 28

• 1, 2, 4, 8, 14, 28

• 1, 2, 5, 7, 14, 28