Q: What are the prime factors of the number 130,222,032?

 A: 2, 3, 307, 8837

Why are those the prime factors of the number 130,222,032?

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 130,222,032

130,222,032
Factor Arrows
265,111,016
Factor Arrows
232,555,508
Factor Arrows
216,277,754
Factor Arrows
28,138,877
Factor Arrows
32,712,959
Factor Arrows
3078,837

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, 307, 8837

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 307 x 8,837 = 130,222,032

This can also be written as 24 x 31 x 3071 x 8,8371 = 130,222,032

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


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