Q: What are the prime factors of the number 1,376,046?

 A: 2, 3, 7, 67, 163

Why are those the prime factors of the number 1,376,046?

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 1,376,046

1,376,046
Factor Arrows
2688,023
Factor Arrows
3229,341
Factor Arrows
376,447
Factor Arrows
710,921
Factor Arrows
67163

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, 7, 67, 163

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 7 x 67 x 163 = 1,376,046

This can also be written as 21 x 32 x 71 x 671 x 1631 = 1,376,046

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


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