Questions & Answers

Question

Answers

Answer
Verified

Hint: To solve this question, we will first find the factors of 4, 8 and 12 individually and then filter out the common ones between them. The factor of a number is defined as a number which divides the given number completely. For example, factors of 10 are 1, 2, 5 and 10.

__Complete step-by-step answer:__

We need to find the common factors of 4, 8 and 12. First we will write the individual factors-

Factors(4) - 1, 2, 4

Factors(8) - 1, 2, 4, 8

Factors(12) - 1, 2, 3, 4, 6, 12

From these, we can clearly see that 1, 2 and 4 are the factors of all the three numbers 4, 8 and 12 respectively. Hence, the common factors are- 1, 2, 4.

This is the required answer.

Note: Students often get confused between factors and multiples of a number. A factor is a number which exactly divides the given number. A multiple is a number which is exactly divided by the given number. For example,

Factors(10) - 1, 2, 5, 10

Multiples(10) - 10, 20, 30 and so on

We need to find the common factors of 4, 8 and 12. First we will write the individual factors-

Factors(4) - 1, 2, 4

Factors(8) - 1, 2, 4, 8

Factors(12) - 1, 2, 3, 4, 6, 12

From these, we can clearly see that 1, 2 and 4 are the factors of all the three numbers 4, 8 and 12 respectively. Hence, the common factors are- 1, 2, 4.

This is the required answer.

Note: Students often get confused between factors and multiples of a number. A factor is a number which exactly divides the given number. A multiple is a number which is exactly divided by the given number. For example,

Factors(10) - 1, 2, 5, 10

Multiples(10) - 10, 20, 30 and so on

×

Sorry!, This page is not available for now to bookmark.