Prime factorization of 496

Here you will see step by step solution of prime factorization of 496, how to find factors of 496, you will see all factors of 496, how many factors of 496 has? Factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496, we can see that 496 has 10 factor and sum of all factors is 992.

  • All Factors of 496: 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
  • Prime Factors of 496: 2 × 2 × 2 × 2 × 31
  • Prime Factorization of 496: 24 × 311
  • Sum of Factors of 496: 992
  • Is 496 prime number: No

How to find factors of 496 by Division Method?

To find the factors of 496 by division method, we need the find the all numbers between 1 to 496, which divide 496 with 0 remainder, then the number is factor of 496.

Pair factors of 496

  • 496/1 = 496 [ 1 × 496 (1, 496) 1 and 496 is pair factor of 496]
  • 496/2 = 248 [ 2 × 248 (2, 248) 2 and 248 is pair factor of 496]
  • 496/4 = 124 [ 4 × 124 (4, 124) 4 and 124 is pair factor of 496]
  • 496/8 = 62 [ 8 × 62 (8, 62) 8 and 62 is pair factor of 496]
  • 496/16 = 31 [ 16 × 31 (16, 31) 16 and 31 is pair factor of 496]
  • 496/31 = 16 [ 31 × 16 (31, 16) 31 and 16 is pair factor of 496]
  • 496/62 = 8 [ 62 × 8 (62, 8) 62 and 8 is pair factor of 496]
  • 496/124 = 4 [ 124 × 4 (124, 4) 124 and 4 is pair factor of 496]
  • 496/248 = 2 [ 248 × 2 (248, 2) 248 and 2 is pair factor of 496]
  • 496/496 = 1 [ 496 × 1 (496, 1) 496 and 1 is pair factor of 496]

As we checked numbers between 1 to 496 that are not leaving any remainder, hence we can say factors of 496 is 1, 2, 4, 8, 16, 31, 62, 124, 248, 496.

Also note that, in exponential form prime factorization of 496 is written as 24 × 311 and it is a composite number.

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