Factors Of 63

Factors of 60 are the numbers which when multiplied in pairs results in the original number. We can also say that, when 60 is divided by any of its factors, then the resulted quotient is a whole number. 60 is a composite number, so it has factors more than 2. Similarly, factors of 72, 60, 56, 35, 81, etc. will have more than two numbers. To find the factors of number 63, we will use the multiplication method here. So keep the reading the article below.

Factors of 63

Factors Of 63 in Pairs

We can find the pair factors, by multiplying two numbers in a pair to get the original number as 63, such as;

1 × 63 = 63, (1, 63)

3 × 21 = 63, (3, 21)

7 × 9 = 63, (7, 9)

Therefore, the factors in pairs are (1, 63), (3, 21) and (7, 9).

Factors Of 63
1, 3, 7, 9, 21 and 63

Prime Factorisation of 63

The number 63 is a composite number. Now let us find the prime factors associated with 63.

  • The first step is to divide the number 63 with the smallest prime factor,i.e. 2.

63 ÷ 2 = 31.5; fraction cannot be a factor. Therefore, moving to the next prime number

Divide 63 by 3.

63 ÷ 3 = 21

  • Again divide 21 by 3 and keep on diving the output by 3 till you get 1 or a fraction.

21 ÷ 3 = 7

7 ÷ 3 = 2.33; cannot be a factor. Now move to next prime number 7.

  • Dividing 7 by 7 we get,

7 ÷ 7 = 1

  • We have received 1 at the end and it doesn’t have any factor. Therefore, we cannot proceed to further with the division method. So, the prime factorisation of 63 is 3 × 3 × 7 or 32 × 7, where 3 and 7 are the prime numbers.

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