Q: What are the prime factors of the number 1,226,988?

 A: 2, 3, 7, 541

Why are those the prime factors of the number 1,226,988?

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 1,226,988

1,226,988
Factor Arrows
2613,494
Factor Arrows
2306,747
Factor Arrows
3102,249
Factor Arrows
334,083
Factor Arrows
311,361
Factor Arrows
33,787
Factor Arrows
7541

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, 541

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 7 x 541 = 1,226,988

This can also be written as 22 x 34 x 71 x 5411 = 1,226,988

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


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