Q: What are the prime factors of the number 17,636,682?

 A: 2, 3, 7, 419921

Why are those the prime factors of the number 17,636,682?

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 17,636,682

17,636,682
Factor Arrows
28,818,341
Factor Arrows
32,939,447
Factor Arrows
7419,921

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, 419921

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 419,921 = 17,636,682

This can also be written as 21 x 31 x 71 x 419,9211 = 17,636,682

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


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