Q: What are the prime factors of the number 125,003,620?

 A: 2, 5, 7, 23, 38821

Why are those the prime factors of the number 125,003,620?

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 125,003,620

125,003,620
Factor Arrows
262,501,810
Factor Arrows
231,250,905
Factor Arrows
56,250,181
Factor Arrows
7892,883
Factor Arrows
2338,821

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, 7, 23, 38821

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 23 x 38,821 = 125,003,620

This can also be written as 22 x 51 x 71 x 231 x 38,8211 = 125,003,620

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


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