Prime factorization of 231

Here you will see step by step solution of prime factorization of 231, how to find factors of 231, you will see all factors of 231, how many factors of 231 has? Factors of 231 are 1, 3, 7, 11, 21, 33, 77, 231, we can see that 231 has 8 factor and sum of all factors is 384.

  • All Factors of 231: 1, 3, 7, 11, 21, 33, 77, 231
  • Prime Factors of 231: 3 × 7 × 11
  • Prime Factorization of 231: 31 × 71 × 111
  • Sum of Factors of 231: 384
  • Is 231 prime number: No

How to find factors of 231 by Division Method?

To find the factors of 231 by division method, we need the find the all numbers between 1 to 231, which divide 231 with 0 remainder, then the number is factor of 231.

Pair factors of 231

  • 231/1 = 231 [ 1 × 231 (1, 231) 1 and 231 is pair factor of 231]
  • 231/3 = 77 [ 3 × 77 (3, 77) 3 and 77 is pair factor of 231]
  • 231/7 = 33 [ 7 × 33 (7, 33) 7 and 33 is pair factor of 231]
  • 231/11 = 21 [ 11 × 21 (11, 21) 11 and 21 is pair factor of 231]
  • 231/21 = 11 [ 21 × 11 (21, 11) 21 and 11 is pair factor of 231]
  • 231/33 = 7 [ 33 × 7 (33, 7) 33 and 7 is pair factor of 231]
  • 231/77 = 3 [ 77 × 3 (77, 3) 77 and 3 is pair factor of 231]
  • 231/231 = 1 [ 231 × 1 (231, 1) 231 and 1 is pair factor of 231]

As we checked numbers between 1 to 231 that are not leaving any remainder, hence we can say factors of 231 is 1, 3, 7, 11, 21, 33, 77, 231.

Also note that, in exponential form prime factorization of 231 is written as 31 × 71 × 111 and it is a composite number.

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We hope you understand that how to find factors of 231. Let's check some other examples of factors.

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