Q: What are the prime factors of the number 82,662,552?

 A: 2, 3, 7, 23, 2377

Why are those the prime factors of the number 82,662,552?

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 82,662,552

82,662,552
Factor Arrows
241,331,276
Factor Arrows
220,665,638
Factor Arrows
210,332,819
Factor Arrows
33,444,273
Factor Arrows
31,148,091
Factor Arrows
3382,697
Factor Arrows
754,671
Factor Arrows
232,377

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, 2377

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 7 x 23 x 2,377 = 82,662,552

This can also be written as 23 x 33 x 71 x 231 x 2,3771 = 82,662,552

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


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