Q: What are the prime factors of the number 46,520,037?

 A: 3, 19, 163, 1669

Why are those the prime factors of the number 46,520,037?

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 46,520,037

46,520,037
Factor Arrows
315,506,679
Factor Arrows
35,168,893
Factor Arrows
19272,047
Factor Arrows
1631,669

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:

3, 19, 163, 1669

We can check our work by multiplying all of the prime factors together: 3 x 3 x 19 x 163 x 1,669 = 46,520,037

This can also be written as 32 x 191 x 1631 x 1,6691 = 46,520,037

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


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