Prime factorization of 490

Here you will see step by step solution of prime factorization of 490, how to find factors of 490, you will see all factors of 490, how many factors of 490 has? Factors of 490 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490, we can see that 490 has 12 factor and sum of all factors is 1026.

  • All Factors of 490: 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
  • Prime Factors of 490: 2 × 5 × 7 × 7
  • Prime Factorization of 490: 21 × 51 × 72
  • Sum of Factors of 490: 1026
  • Is 490 prime number: No

How to find factors of 490 by Division Method?

To find the factors of 490 by division method, we need the find the all numbers between 1 to 490, which divide 490 with 0 remainder, then the number is factor of 490.

Pair factors of 490

  • 490/1 = 490 [ 1 × 490 (1, 490) 1 and 490 is pair factor of 490]
  • 490/2 = 245 [ 2 × 245 (2, 245) 2 and 245 is pair factor of 490]
  • 490/5 = 98 [ 5 × 98 (5, 98) 5 and 98 is pair factor of 490]
  • 490/7 = 70 [ 7 × 70 (7, 70) 7 and 70 is pair factor of 490]
  • 490/10 = 49 [ 10 × 49 (10, 49) 10 and 49 is pair factor of 490]
  • 490/14 = 35 [ 14 × 35 (14, 35) 14 and 35 is pair factor of 490]
  • 490/35 = 14 [ 35 × 14 (35, 14) 35 and 14 is pair factor of 490]
  • 490/49 = 10 [ 49 × 10 (49, 10) 49 and 10 is pair factor of 490]
  • 490/70 = 7 [ 70 × 7 (70, 7) 70 and 7 is pair factor of 490]
  • 490/98 = 5 [ 98 × 5 (98, 5) 98 and 5 is pair factor of 490]
  • 490/245 = 2 [ 245 × 2 (245, 2) 245 and 2 is pair factor of 490]
  • 490/490 = 1 [ 490 × 1 (490, 1) 490 and 1 is pair factor of 490]

As we checked numbers between 1 to 490 that are not leaving any remainder, hence we can say factors of 490 is 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490.

Also note that, in exponential form prime factorization of 490 is written as 21 × 51 × 72 and it is a composite number.

Prime Factorization Calculator

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