Q: What are the prime factors of the number 130,234,112?

 A: 2, 508727

Why are those the prime factors of the number 130,234,112?

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 130,234,112

130,234,112
Factor Arrows
265,117,056
Factor Arrows
232,558,528
Factor Arrows
216,279,264
Factor Arrows
28,139,632
Factor Arrows
24,069,816
Factor Arrows
22,034,908
Factor Arrows
21,017,454
Factor Arrows
2508,727

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, 508727

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 508,727 = 130,234,112

This can also be written as 28 x 508,7271 = 130,234,112

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


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