Q: What are the prime factors of the number 36,734,652?

 A: 2, 3, 1020407

Why are those the prime factors of the number 36,734,652?

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 36,734,652

36,734,652
Factor Arrows
218,367,326
Factor Arrows
29,183,663
Factor Arrows
33,061,221
Factor Arrows
31,020,407

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, 1020407

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 1,020,407 = 36,734,652

This can also be written as 22 x 32 x 1,020,4071 = 36,734,652

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


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