Question

what are the Factors of 42? tell with explanation

Answer 1

Answer:

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

Step-by-step explanation:

Answer 2

Answer:

Factors Of 42

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

Step-by-step explanation:

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).

Prime Factorisation of 42

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

I hope this is helpful!