Prime factorization of 380

Here you will see step by step solution of prime factorization of 380, how to find factors of 380, you will see all factors of 380, how many factors of 380 has? Factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380, we can see that 380 has 12 factor and sum of all factors is 840.

  • All Factors of 380: 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
  • Prime Factors of 380: 2 × 2 × 5 × 19
  • Prime Factorization of 380: 22 × 51 × 191
  • Sum of Factors of 380: 840
  • Is 380 prime number: No

How to find factors of 380 by Division Method?

To find the factors of 380 by division method, we need the find the all numbers between 1 to 380, which divide 380 with 0 remainder, then the number is factor of 380.

Pair factors of 380

  • 380/1 = 380 [ 1 × 380 (1, 380) 1 and 380 is pair factor of 380]
  • 380/2 = 190 [ 2 × 190 (2, 190) 2 and 190 is pair factor of 380]
  • 380/4 = 95 [ 4 × 95 (4, 95) 4 and 95 is pair factor of 380]
  • 380/5 = 76 [ 5 × 76 (5, 76) 5 and 76 is pair factor of 380]
  • 380/10 = 38 [ 10 × 38 (10, 38) 10 and 38 is pair factor of 380]
  • 380/19 = 20 [ 19 × 20 (19, 20) 19 and 20 is pair factor of 380]
  • 380/20 = 19 [ 20 × 19 (20, 19) 20 and 19 is pair factor of 380]
  • 380/38 = 10 [ 38 × 10 (38, 10) 38 and 10 is pair factor of 380]
  • 380/76 = 5 [ 76 × 5 (76, 5) 76 and 5 is pair factor of 380]
  • 380/95 = 4 [ 95 × 4 (95, 4) 95 and 4 is pair factor of 380]
  • 380/190 = 2 [ 190 × 2 (190, 2) 190 and 2 is pair factor of 380]
  • 380/380 = 1 [ 380 × 1 (380, 1) 380 and 1 is pair factor of 380]

As we checked numbers between 1 to 380 that are not leaving any remainder, hence we can say factors of 380 is 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380.

Also note that, in exponential form prime factorization of 380 is written as 22 × 51 × 191 and it is a composite number.

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