Q: What are the prime factors of the number 36,012,784?

 A: 2, 2250799

Why are those the prime factors of the number 36,012,784?

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 36,012,784

36,012,784
Factor Arrows
218,006,392
Factor Arrows
29,003,196
Factor Arrows
24,501,598
Factor Arrows
22,250,799

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, 2250799

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2,250,799 = 36,012,784

This can also be written as 24 x 2,250,7991 = 36,012,784

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


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