Q: What are the prime factors of the number 1,304,240?

 A: 2, 5, 7, 17, 137

Why are those the prime factors of the number 1,304,240?

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 1,304,240

1,304,240
Factor Arrows
2652,120
Factor Arrows
2326,060
Factor Arrows
2163,030
Factor Arrows
281,515
Factor Arrows
516,303
Factor Arrows
72,329
Factor Arrows
17137

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, 7, 17, 137

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 7 x 17 x 137 = 1,304,240

This can also be written as 24 x 51 x 71 x 171 x 1371 = 1,304,240

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


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