Q: What are the prime factors of the number 130,643,456?

 A: 2, 47, 61, 89

Why are those the prime factors of the number 130,643,456?

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 130,643,456

130,643,456
Factor Arrows
265,321,728
Factor Arrows
232,660,864
Factor Arrows
216,330,432
Factor Arrows
28,165,216
Factor Arrows
24,082,608
Factor Arrows
22,041,304
Factor Arrows
21,020,652
Factor Arrows
2510,326
Factor Arrows
2255,163
Factor Arrows
475,429
Factor Arrows
6189

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, 47, 61, 89

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 2 x 47 x 61 x 89 = 130,643,456

This can also be written as 29 x 471 x 611 x 891 = 130,643,456

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


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