Q: What are the prime factors of the number 1,230,340?

 A: 2, 5, 227, 271

Why are those the prime factors of the number 1,230,340?

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 1,230,340

1,230,340
Factor Arrows
2615,170
Factor Arrows
2307,585
Factor Arrows
561,517
Factor Arrows
227271

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, 227, 271

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 227 x 271 = 1,230,340

This can also be written as 22 x 51 x 2271 x 2711 = 1,230,340

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


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