Q: What are the prime factors of the number 130,630,336?

 A: 2, 919, 2221

Why are those the prime factors of the number 130,630,336?

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 130,630,336

130,630,336
Factor Arrows
265,315,168
Factor Arrows
232,657,584
Factor Arrows
216,328,792
Factor Arrows
28,164,396
Factor Arrows
24,082,198
Factor Arrows
22,041,099
Factor Arrows
9192,221

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, 919, 2221

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 919 x 2,221 = 130,630,336

This can also be written as 26 x 9191 x 2,2211 = 130,630,336

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


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