Q: What are the prime factors of the number 321,220,104?

 A: 2, 3, 139, 96289

Why are those the prime factors of the number 321,220,104?

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 321,220,104

321,220,104
Factor Arrows
2160,610,052
Factor Arrows
280,305,026
Factor Arrows
240,152,513
Factor Arrows
313,384,171
Factor Arrows
13996,289

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, 139, 96289

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 139 x 96,289 = 321,220,104

This can also be written as 23 x 31 x 1391 x 96,2891 = 321,220,104

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


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