Q: What are the prime factors of the number 6,200,495?

 A: 5, 7, 17, 613

Why are those the prime factors of the number 6,200,495?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 6,200,495

6,200,495
Factor Arrows
51,240,099
Factor Arrows
7177,157
Factor Arrows
1710,421
Factor Arrows
17613

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

5, 7, 17, 613

We can check our work by multiplying all of the prime factors together: 5 x 7 x 17 x 17 x 613 = 6,200,495

This can also be written as 51 x 71 x 172 x 6131 = 6,200,495

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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