Q: What are the prime factors of the number 1,275,920?

 A: 2, 5, 41, 389

Why are those the prime factors of the number 1,275,920?

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 1,275,920

1,275,920
Factor Arrows
2637,960
Factor Arrows
2318,980
Factor Arrows
2159,490
Factor Arrows
279,745
Factor Arrows
515,949
Factor Arrows
41389

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, 41, 389

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 41 x 389 = 1,275,920

This can also be written as 24 x 51 x 411 x 3891 = 1,275,920

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


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