Q: What are the prime factors of the number 128,272,848?

 A: 2, 3, 11, 83, 2927

Why are those the prime factors of the number 128,272,848?

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 128,272,848

128,272,848
Factor Arrows
264,136,424
Factor Arrows
232,068,212
Factor Arrows
216,034,106
Factor Arrows
28,017,053
Factor Arrows
32,672,351
Factor Arrows
11242,941
Factor Arrows
832,927

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, 11, 83, 2927

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 11 x 83 x 2,927 = 128,272,848

This can also be written as 24 x 31 x 111 x 831 x 2,9271 = 128,272,848

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


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