Prime factorization of 750

Here you will see step by step solution of prime factorization of 750, how to find factors of 750, you will see all factors of 750, how many factors of 750 has? Factors of 750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750, we can see that 750 has 16 factor and sum of all factors is 1872.

  • All Factors of 750: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
  • Prime Factors of 750: 2 × 3 × 5 × 5 × 5
  • Prime Factorization of 750: 21 × 31 × 53
  • Sum of Factors of 750: 1872
  • Is 750 prime number: No

How to find factors of 750 by Division Method?

To find the factors of 750 by division method, we need the find the all numbers between 1 to 750, which divide 750 with 0 remainder, then the number is factor of 750.

Pair factors of 750

  • 750/1 = 750 [ 1 × 750 (1, 750) 1 and 750 is pair factor of 750]
  • 750/2 = 375 [ 2 × 375 (2, 375) 2 and 375 is pair factor of 750]
  • 750/3 = 250 [ 3 × 250 (3, 250) 3 and 250 is pair factor of 750]
  • 750/5 = 150 [ 5 × 150 (5, 150) 5 and 150 is pair factor of 750]
  • 750/6 = 125 [ 6 × 125 (6, 125) 6 and 125 is pair factor of 750]
  • 750/10 = 75 [ 10 × 75 (10, 75) 10 and 75 is pair factor of 750]
  • 750/15 = 50 [ 15 × 50 (15, 50) 15 and 50 is pair factor of 750]
  • 750/25 = 30 [ 25 × 30 (25, 30) 25 and 30 is pair factor of 750]
  • 750/30 = 25 [ 30 × 25 (30, 25) 30 and 25 is pair factor of 750]
  • 750/50 = 15 [ 50 × 15 (50, 15) 50 and 15 is pair factor of 750]
  • 750/75 = 10 [ 75 × 10 (75, 10) 75 and 10 is pair factor of 750]
  • 750/125 = 6 [ 125 × 6 (125, 6) 125 and 6 is pair factor of 750]
  • 750/150 = 5 [ 150 × 5 (150, 5) 150 and 5 is pair factor of 750]
  • 750/250 = 3 [ 250 × 3 (250, 3) 250 and 3 is pair factor of 750]
  • 750/375 = 2 [ 375 × 2 (375, 2) 375 and 2 is pair factor of 750]
  • 750/750 = 1 [ 750 × 1 (750, 1) 750 and 1 is pair factor of 750]

As we checked numbers between 1 to 750 that are not leaving any remainder, hence we can say factors of 750 is 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750.

Also note that, in exponential form prime factorization of 750 is written as 21 × 31 × 53 and it is a composite number.

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