Q: What are the prime factors of the number 127,136,336?

 A: 2, 17, 149, 3137

Why are those the prime factors of the number 127,136,336?

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 127,136,336

127,136,336
Factor Arrows
263,568,168
Factor Arrows
231,784,084
Factor Arrows
215,892,042
Factor Arrows
27,946,021
Factor Arrows
17467,413
Factor Arrows
1493,137

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, 17, 149, 3137

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 17 x 149 x 3,137 = 127,136,336

This can also be written as 24 x 171 x 1491 x 3,1371 = 127,136,336

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


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