Factors Of 68

Factors of 68 are the numbers, which divides the number 68 to give quotient as a whole number. when we multiply the factors in pairs, we get the results as the original number. 68 is a composite number and has more than 2 factors, unlike the prime numbers. Some of the more examples of composite numbers are, 24, 63, 81, 70, 216, 215, etc. Multiples are different from the factors, as they give extended times of 68, such as, 68,136,204,272,340,408,476,544,612,680 and so on. Learn to find the factors of number 68, along with its prime factorisation, by reading the article completely.

factors of 68

Factor Of 68 in Pairs

We can find the pair factors, by multiplying two numbers in a pair to get the original number as 68, such as;

1 × 68 = 68

2 × 34 = 68

4 × 17 = 68

From the above process, we get, the pair factors of the number 68 are (1, 68), (2, 34) and (4, 17).  Therefore,

Factors Of 68
1, 2, 4, 17, 34 and 68

Prime Factorisation of 68

The number 68 is a composite number. Now let us find its prime factors.

  • The first step is to divide the number 68 with the smallest prime factor,i.e. 2 and divide the output again by 2 till you get a fraction or odd number.

68 ÷ 2 = 34;

          Divide 34 by 2.

34 ÷ 2 = 17

  • Now, we know 17 is a prime number and it has only two factors; 1 and 17. Therefore, we cannot continue with the division method further.
  • So, the prime factorisation of 68 is 2 × 2 × 17 or 22 × 17, where 2 and 17 are the prime numbers.

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