Q: What are the prime factors of the number 126,371,432?

 A: 2, 11, 19, 6871

Why are those the prime factors of the number 126,371,432?

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 126,371,432

126,371,432
Factor Arrows
263,185,716
Factor Arrows
231,592,858
Factor Arrows
215,796,429
Factor Arrows
111,436,039
Factor Arrows
11130,549
Factor Arrows
196,871

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, 11, 19, 6871

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 11 x 11 x 19 x 6,871 = 126,371,432

This can also be written as 23 x 112 x 191 x 6,8711 = 126,371,432

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


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