Q: What are the prime factors of the number 1,384,440?

 A: 2, 3, 5, 83, 139

Why are those the prime factors of the number 1,384,440?

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 1,384,440

1,384,440
Factor Arrows
2692,220
Factor Arrows
2346,110
Factor Arrows
2173,055
Factor Arrows
357,685
Factor Arrows
511,537
Factor Arrows
83139

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, 5, 83, 139

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 83 x 139 = 1,384,440

This can also be written as 23 x 31 x 51 x 831 x 1391 = 1,384,440

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


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