Q: What are the prime factors of the number 129,680?

 A: 2, 5, 1621

Why are those the prime factors of the number 129,680?

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 129,680

129,680
Factor Arrows
264,840
Factor Arrows
232,420
Factor Arrows
216,210
Factor Arrows
28,105
Factor Arrows
51,621

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, 1621

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 1,621 = 129,680

This can also be written as 24 x 51 x 1,6211 = 129,680

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


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