Q: What are the prime factors of the number 625,566,120?

 A: 2, 3, 5, 769, 6779

Why are those the prime factors of the number 625,566,120?

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 625,566,120

625,566,120
Factor Arrows
2312,783,060
Factor Arrows
2156,391,530
Factor Arrows
278,195,765
Factor Arrows
326,065,255
Factor Arrows
55,213,051
Factor Arrows
7696,779

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, 5, 769, 6779

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 769 x 6,779 = 625,566,120

This can also be written as 23 x 31 x 51 x 7691 x 6,7791 = 625,566,120

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


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