Prime factorization of 700

Here you will see step by step solution of prime factorization of 700, how to find factors of 700, you will see all factors of 700, how many factors of 700 has? Factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700, we can see that 700 has 18 factor and sum of all factors is 1736.

  • All Factors of 700: 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
  • Prime Factors of 700: 2 × 2 × 5 × 5 × 7
  • Prime Factorization of 700: 22 × 52 × 71
  • Sum of Factors of 700: 1736
  • Is 700 prime number: No

How to find factors of 700 by Division Method?

To find the factors of 700 by division method, we need the find the all numbers between 1 to 700, which divide 700 with 0 remainder, then the number is factor of 700.

Pair factors of 700

  • 700/1 = 700 [ 1 × 700 (1, 700) 1 and 700 is pair factor of 700]
  • 700/2 = 350 [ 2 × 350 (2, 350) 2 and 350 is pair factor of 700]
  • 700/4 = 175 [ 4 × 175 (4, 175) 4 and 175 is pair factor of 700]
  • 700/5 = 140 [ 5 × 140 (5, 140) 5 and 140 is pair factor of 700]
  • 700/7 = 100 [ 7 × 100 (7, 100) 7 and 100 is pair factor of 700]
  • 700/10 = 70 [ 10 × 70 (10, 70) 10 and 70 is pair factor of 700]
  • 700/14 = 50 [ 14 × 50 (14, 50) 14 and 50 is pair factor of 700]
  • 700/20 = 35 [ 20 × 35 (20, 35) 20 and 35 is pair factor of 700]
  • 700/25 = 28 [ 25 × 28 (25, 28) 25 and 28 is pair factor of 700]
  • 700/28 = 25 [ 28 × 25 (28, 25) 28 and 25 is pair factor of 700]
  • 700/35 = 20 [ 35 × 20 (35, 20) 35 and 20 is pair factor of 700]
  • 700/50 = 14 [ 50 × 14 (50, 14) 50 and 14 is pair factor of 700]
  • 700/70 = 10 [ 70 × 10 (70, 10) 70 and 10 is pair factor of 700]
  • 700/100 = 7 [ 100 × 7 (100, 7) 100 and 7 is pair factor of 700]
  • 700/140 = 5 [ 140 × 5 (140, 5) 140 and 5 is pair factor of 700]
  • 700/175 = 4 [ 175 × 4 (175, 4) 175 and 4 is pair factor of 700]
  • 700/350 = 2 [ 350 × 2 (350, 2) 350 and 2 is pair factor of 700]
  • 700/700 = 1 [ 700 × 1 (700, 1) 700 and 1 is pair factor of 700]

As we checked numbers between 1 to 700 that are not leaving any remainder, hence we can say factors of 700 is 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700.

Also note that, in exponential form prime factorization of 700 is written as 22 × 52 × 71 and it is a composite number.

Prime Factorization Calculator

We hope you understand that how to find factors of 700. Let's check some other examples of factors.

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