Q: What are the prime factors of the number 5,155,520?

 A: 2, 5, 16111

Why are those the prime factors of the number 5,155,520?

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 5,155,520

5,155,520
Factor Arrows
22,577,760
Factor Arrows
21,288,880
Factor Arrows
2644,440
Factor Arrows
2322,220
Factor Arrows
2161,110
Factor Arrows
280,555
Factor Arrows
516,111

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, 5, 16111

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 5 x 16,111 = 5,155,520

This can also be written as 26 x 51 x 16,1111 = 5,155,520

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


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