 # Factors Of 42

Factors of number 42 are the pair of numbers which when multiplied together gives the original number.  There are other composite numbers such as 48, 60, 70, 420, 36, 45, 30, etc. whose factors and prime factorisation can be determined. We can find the factors of a number of 42 in a very simple and easy method. It involves multiplication of a pair of numbers to get another number. ## Factors Of 42 in Pairs

We can find the factors in pairs of 42, by multiplying two numbers in a combination to get the result as 42. Let’s get started;

1 × 42 = 42

2 × 21 = 42

3 × 14 = 42

6 × 7 = 42

Therefore, the factors of 42 in pairs are (1, 42), (2, 21), (3, 14) and (6, 7).

 Factors Of 42 1, 2, 3, 6, 7, 14, 21 and 42

### Prime Factorisation of 42

The number 42 is a composite number. Now let us find the prime factor of 42.

• The first step is to divide the number 42 with the smallest prime factor,i.e. 2.

42 ÷ 2 = 21

• Now, check whether 21 can be further divided by 2 or not.

21 ÷ 2 = 10.5

But, factors cannot be a fraction. Therefore, we will proceed to the next prime number,

which is 3.

• Now, dividing 21 by 3 we get,

21 ÷ 3 = 7

• Again, dividing 7 by 3 will give a fraction number. Therefore, taking the next prime number, 5, into consideration.

21 ÷ 5 = 4.2, again a fraction number.

So the next prime number is 7.

7 ÷ 7 = 1

• We have received 1 at the end and further, we cannot proceed with the division method, as we know the multiple of 1 is 1, only. So, the prime factors of 42 are 2 × 3 × 7, where 2, 3 and 7 are prime numbers.

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