Q: What are the prime factors of the number 1,520,144?

 A: 2, 95009

Why are those the prime factors of the number 1,520,144?

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 1,520,144

1,520,144
Factor Arrows
2760,072
Factor Arrows
2380,036
Factor Arrows
2190,018
Factor Arrows
295,009

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, 95009

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 95,009 = 1,520,144

This can also be written as 24 x 95,0091 = 1,520,144

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


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