Q: What are the prime factors of the number 1,590,560?

 A: 2, 5, 9941

Why are those the prime factors of the number 1,590,560?

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 1,590,560

1,590,560
Factor Arrows
2795,280
Factor Arrows
2397,640
Factor Arrows
2198,820
Factor Arrows
299,410
Factor Arrows
249,705
Factor Arrows
59,941

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, 9941

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 9,941 = 1,590,560

This can also be written as 25 x 51 x 9,9411 = 1,590,560

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


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