Q: What are the prime factors of the number 1,236,492?

 A: 2, 3, 107

Why are those the prime factors of the number 1,236,492?

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 1,236,492

1,236,492
Factor Arrows
2618,246
Factor Arrows
2309,123
Factor Arrows
3103,041
Factor Arrows
334,347
Factor Arrows
311,449
Factor Arrows
107107

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, 107

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 107 x 107 = 1,236,492

This can also be written as 22 x 33 x 1072 = 1,236,492

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


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