Prime factorization of 738

Here you will see step by step solution of prime factorization of 738, how to find factors of 738, you will see all factors of 738, how many factors of 738 has? Factors of 738 are 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738, we can see that 738 has 12 factor and sum of all factors is 1638.

  • All Factors of 738: 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
  • Prime Factors of 738: 2 × 3 × 3 × 41
  • Prime Factorization of 738: 21 × 32 × 411
  • Sum of Factors of 738: 1638
  • Is 738 prime number: No

How to find factors of 738 by Division Method?

To find the factors of 738 by division method, we need the find the all numbers between 1 to 738, which divide 738 with 0 remainder, then the number is factor of 738.

Pair factors of 738

  • 738/1 = 738 [ 1 × 738 (1, 738) 1 and 738 is pair factor of 738]
  • 738/2 = 369 [ 2 × 369 (2, 369) 2 and 369 is pair factor of 738]
  • 738/3 = 246 [ 3 × 246 (3, 246) 3 and 246 is pair factor of 738]
  • 738/6 = 123 [ 6 × 123 (6, 123) 6 and 123 is pair factor of 738]
  • 738/9 = 82 [ 9 × 82 (9, 82) 9 and 82 is pair factor of 738]
  • 738/18 = 41 [ 18 × 41 (18, 41) 18 and 41 is pair factor of 738]
  • 738/41 = 18 [ 41 × 18 (41, 18) 41 and 18 is pair factor of 738]
  • 738/82 = 9 [ 82 × 9 (82, 9) 82 and 9 is pair factor of 738]
  • 738/123 = 6 [ 123 × 6 (123, 6) 123 and 6 is pair factor of 738]
  • 738/246 = 3 [ 246 × 3 (246, 3) 246 and 3 is pair factor of 738]
  • 738/369 = 2 [ 369 × 2 (369, 2) 369 and 2 is pair factor of 738]
  • 738/738 = 1 [ 738 × 1 (738, 1) 738 and 1 is pair factor of 738]

As we checked numbers between 1 to 738 that are not leaving any remainder, hence we can say factors of 738 is 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738.

Also note that, in exponential form prime factorization of 738 is written as 21 × 32 × 411 and it is a composite number.

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