Q: What are the prime factors of the number 47,707,605?

 A: 3, 5, 11, 31, 3109

Why are those the prime factors of the number 47,707,605?

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 47,707,605

47,707,605
Factor Arrows
315,902,535
Factor Arrows
35,300,845
Factor Arrows
51,060,169
Factor Arrows
1196,379
Factor Arrows
313,109

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, 11, 31, 3109

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 11 x 31 x 3,109 = 47,707,605

This can also be written as 32 x 51 x 111 x 311 x 3,1091 = 47,707,605

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


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