Q: What are the prime factors of the number 47,127,668?

 A: 2, 7, 29, 127, 457

Why are those the prime factors of the number 47,127,668?

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 47,127,668

47,127,668
Factor Arrows
223,563,834
Factor Arrows
211,781,917
Factor Arrows
71,683,131
Factor Arrows
2958,039
Factor Arrows
127457

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, 7, 29, 127, 457

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 29 x 127 x 457 = 47,127,668

This can also be written as 22 x 71 x 291 x 1271 x 4571 = 47,127,668

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


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