Prime factorization of 200

Here you will see step by step solution of prime factorization of 200, how to find factors of 200, you will see all factors of 200, how many factors of 200 has? Factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, we can see that 200 has 12 factor and sum of all factors is 465.

  • All Factors of 200: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
  • Prime Factors of 200: 2 × 2 × 2 × 5 × 5
  • Prime Factorization of 200: 23 × 52
  • Sum of Factors of 200: 465
  • Is 200 prime number: No

How to find factors of 200 by Division Method?

To find the factors of 200 by division method, we need the find the all numbers between 1 to 200, which divide 200 with 0 remainder, then the number is factor of 200.

Pair factors of 200

  • 200/1 = 200 [ 1 × 200 (1, 200) 1 and 200 is pair factor of 200]
  • 200/2 = 100 [ 2 × 100 (2, 100) 2 and 100 is pair factor of 200]
  • 200/4 = 50 [ 4 × 50 (4, 50) 4 and 50 is pair factor of 200]
  • 200/5 = 40 [ 5 × 40 (5, 40) 5 and 40 is pair factor of 200]
  • 200/8 = 25 [ 8 × 25 (8, 25) 8 and 25 is pair factor of 200]
  • 200/10 = 20 [ 10 × 20 (10, 20) 10 and 20 is pair factor of 200]
  • 200/20 = 10 [ 20 × 10 (20, 10) 20 and 10 is pair factor of 200]
  • 200/25 = 8 [ 25 × 8 (25, 8) 25 and 8 is pair factor of 200]
  • 200/40 = 5 [ 40 × 5 (40, 5) 40 and 5 is pair factor of 200]
  • 200/50 = 4 [ 50 × 4 (50, 4) 50 and 4 is pair factor of 200]
  • 200/100 = 2 [ 100 × 2 (100, 2) 100 and 2 is pair factor of 200]
  • 200/200 = 1 [ 200 × 1 (200, 1) 200 and 1 is pair factor of 200]

As we checked numbers between 1 to 200 that are not leaving any remainder, hence we can say factors of 200 is 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200.

Also note that, in exponential form prime factorization of 200 is written as 23 × 52 and it is a composite number.

Prime Factorization Calculator

We hope you understand that how to find factors of 200. Let's check some other examples of factors.

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