Q: What are the prime factors of the number 1,324,386?

 A: 2, 3, 7, 23, 457

Why are those the prime factors of the number 1,324,386?

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 1,324,386

1,324,386
Factor Arrows
2662,193
Factor Arrows
3220,731
Factor Arrows
373,577
Factor Arrows
710,511
Factor Arrows
23457

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, 23, 457

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 7 x 23 x 457 = 1,324,386

This can also be written as 21 x 32 x 71 x 231 x 4571 = 1,324,386

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


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