Q: What are the prime factors of the number 47,605,455?

 A: 3, 5, 352633

Why are those the prime factors of the number 47,605,455?

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 47,605,455

47,605,455
Factor Arrows
315,868,485
Factor Arrows
35,289,495
Factor Arrows
31,763,165
Factor Arrows
5352,633

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, 5, 352633

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 352,633 = 47,605,455

This can also be written as 33 x 51 x 352,6331 = 47,605,455

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


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