Q: What are the prime factors of the number 6,260,928?

 A: 2, 3, 32609

Why are those the prime factors of the number 6,260,928?

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 6,260,928

6,260,928
Factor Arrows
23,130,464
Factor Arrows
21,565,232
Factor Arrows
2782,616
Factor Arrows
2391,308
Factor Arrows
2195,654
Factor Arrows
297,827
Factor Arrows
332,609

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:

2, 3, 32609

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 32,609 = 6,260,928

This can also be written as 26 x 31 x 32,6091 = 6,260,928

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


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