Q: What are the prime factors of the number 20,321,160?

 A: 2, 3, 5, 169343

Why are those the prime factors of the number 20,321,160?

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 20,321,160

20,321,160
Factor Arrows
210,160,580
Factor Arrows
25,080,290
Factor Arrows
22,540,145
Factor Arrows
3846,715
Factor Arrows
5169,343

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, 5, 169343

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 169,343 = 20,321,160

This can also be written as 23 x 31 x 51 x 169,3431 = 20,321,160

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


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