Prime factorization of 740

Here you will see step by step solution of prime factorization of 740, how to find factors of 740, you will see all factors of 740, how many factors of 740 has? Factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740, we can see that 740 has 12 factor and sum of all factors is 1596.

  • All Factors of 740: 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
  • Prime Factors of 740: 2 × 2 × 5 × 37
  • Prime Factorization of 740: 22 × 51 × 371
  • Sum of Factors of 740: 1596
  • Is 740 prime number: No

How to find factors of 740 by Division Method?

To find the factors of 740 by division method, we need the find the all numbers between 1 to 740, which divide 740 with 0 remainder, then the number is factor of 740.

Pair factors of 740

  • 740/1 = 740 [ 1 × 740 (1, 740) 1 and 740 is pair factor of 740]
  • 740/2 = 370 [ 2 × 370 (2, 370) 2 and 370 is pair factor of 740]
  • 740/4 = 185 [ 4 × 185 (4, 185) 4 and 185 is pair factor of 740]
  • 740/5 = 148 [ 5 × 148 (5, 148) 5 and 148 is pair factor of 740]
  • 740/10 = 74 [ 10 × 74 (10, 74) 10 and 74 is pair factor of 740]
  • 740/20 = 37 [ 20 × 37 (20, 37) 20 and 37 is pair factor of 740]
  • 740/37 = 20 [ 37 × 20 (37, 20) 37 and 20 is pair factor of 740]
  • 740/74 = 10 [ 74 × 10 (74, 10) 74 and 10 is pair factor of 740]
  • 740/148 = 5 [ 148 × 5 (148, 5) 148 and 5 is pair factor of 740]
  • 740/185 = 4 [ 185 × 4 (185, 4) 185 and 4 is pair factor of 740]
  • 740/370 = 2 [ 370 × 2 (370, 2) 370 and 2 is pair factor of 740]
  • 740/740 = 1 [ 740 × 1 (740, 1) 740 and 1 is pair factor of 740]

As we checked numbers between 1 to 740 that are not leaving any remainder, hence we can say factors of 740 is 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740.

Also note that, in exponential form prime factorization of 740 is written as 22 × 51 × 371 and it is a composite number.

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