Q: What are the prime factors of the number 125,625,870?

 A: 2, 3, 5, 465281

Why are those the prime factors of the number 125,625,870?

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 125,625,870

125,625,870
Factor Arrows
262,812,935
Factor Arrows
320,937,645
Factor Arrows
36,979,215
Factor Arrows
32,326,405
Factor Arrows
5465,281

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, 465281

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 465,281 = 125,625,870

This can also be written as 21 x 33 x 51 x 465,2811 = 125,625,870

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


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