Prime factorization of 364

Here you will see step by step solution of prime factorization of 364, how to find factors of 364, you will see all factors of 364, how many factors of 364 has? Factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364, we can see that 364 has 12 factor and sum of all factors is 784.

  • All Factors of 364: 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
  • Prime Factors of 364: 2 × 2 × 7 × 13
  • Prime Factorization of 364: 22 × 71 × 131
  • Sum of Factors of 364: 784
  • Is 364 prime number: No

How to find factors of 364 by Division Method?

To find the factors of 364 by division method, we need the find the all numbers between 1 to 364, which divide 364 with 0 remainder, then the number is factor of 364.

Pair factors of 364

  • 364/1 = 364 [ 1 × 364 (1, 364) 1 and 364 is pair factor of 364]
  • 364/2 = 182 [ 2 × 182 (2, 182) 2 and 182 is pair factor of 364]
  • 364/4 = 91 [ 4 × 91 (4, 91) 4 and 91 is pair factor of 364]
  • 364/7 = 52 [ 7 × 52 (7, 52) 7 and 52 is pair factor of 364]
  • 364/13 = 28 [ 13 × 28 (13, 28) 13 and 28 is pair factor of 364]
  • 364/14 = 26 [ 14 × 26 (14, 26) 14 and 26 is pair factor of 364]
  • 364/26 = 14 [ 26 × 14 (26, 14) 26 and 14 is pair factor of 364]
  • 364/28 = 13 [ 28 × 13 (28, 13) 28 and 13 is pair factor of 364]
  • 364/52 = 7 [ 52 × 7 (52, 7) 52 and 7 is pair factor of 364]
  • 364/91 = 4 [ 91 × 4 (91, 4) 91 and 4 is pair factor of 364]
  • 364/182 = 2 [ 182 × 2 (182, 2) 182 and 2 is pair factor of 364]
  • 364/364 = 1 [ 364 × 1 (364, 1) 364 and 1 is pair factor of 364]

As we checked numbers between 1 to 364 that are not leaving any remainder, hence we can say factors of 364 is 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364.

Also note that, in exponential form prime factorization of 364 is written as 22 × 71 × 131 and it is a composite number.

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