Q: What are the prime factors of the number 125,244,880?

 A: 2, 5, 1565561

Why are those the prime factors of the number 125,244,880?

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 125,244,880

125,244,880
Factor Arrows
262,622,440
Factor Arrows
231,311,220
Factor Arrows
215,655,610
Factor Arrows
27,827,805
Factor Arrows
51,565,561

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, 1565561

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 1,565,561 = 125,244,880

This can also be written as 24 x 51 x 1,565,5611 = 125,244,880

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


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