Q: What are the prime factors of the number 127,571,472?

 A: 2, 3, 7, 19, 6661

Why are those the prime factors of the number 127,571,472?

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 127,571,472

127,571,472
Factor Arrows
263,785,736
Factor Arrows
231,892,868
Factor Arrows
215,946,434
Factor Arrows
27,973,217
Factor Arrows
32,657,739
Factor Arrows
3885,913
Factor Arrows
7126,559
Factor Arrows
196,661

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, 3, 7, 19, 6661

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 7 x 19 x 6,661 = 127,571,472

This can also be written as 24 x 32 x 71 x 191 x 6,6611 = 127,571,472

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


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