Q: What are the prime factors of the number 130,555,520?

 A: 2, 5, 137, 1489

Why are those the prime factors of the number 130,555,520?

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 130,555,520

130,555,520
Factor Arrows
265,277,760
Factor Arrows
232,638,880
Factor Arrows
216,319,440
Factor Arrows
28,159,720
Factor Arrows
24,079,860
Factor Arrows
22,039,930
Factor Arrows
21,019,965
Factor Arrows
5203,993
Factor Arrows
1371,489

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, 5, 137, 1489

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 5 x 137 x 1,489 = 130,555,520

This can also be written as 27 x 51 x 1371 x 1,4891 = 130,555,520

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


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