Q: What are the prime factors of the number 1,725,552?

 A: 2, 3, 23, 521

Why are those the prime factors of the number 1,725,552?

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 1,725,552

1,725,552
Factor Arrows
2862,776
Factor Arrows
2431,388
Factor Arrows
2215,694
Factor Arrows
2107,847
Factor Arrows
335,949
Factor Arrows
311,983
Factor Arrows
23521

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, 23, 521

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 23 x 521 = 1,725,552

This can also be written as 24 x 32 x 231 x 5211 = 1,725,552

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


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