Q: What are the prime factors of the number 46,747,315?

 A: 5, 19, 492077

Why are those the prime factors of the number 46,747,315?

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 46,747,315

46,747,315
Factor Arrows
59,349,463
Factor Arrows
19492,077

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:

5, 19, 492077

We can check our work by multiplying all of the prime factors together: 5 x 19 x 492,077 = 46,747,315

This can also be written as 51 x 191 x 492,0771 = 46,747,315

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


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