Q: What are the prime factors of the number 333,300,640?

 A: 2, 5, 17, 181, 677

Why are those the prime factors of the number 333,300,640?

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 333,300,640

333,300,640
Factor Arrows
2166,650,320
Factor Arrows
283,325,160
Factor Arrows
241,662,580
Factor Arrows
220,831,290
Factor Arrows
210,415,645
Factor Arrows
52,083,129
Factor Arrows
17122,537
Factor Arrows
181677

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, 17, 181, 677

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 17 x 181 x 677 = 333,300,640

This can also be written as 25 x 51 x 171 x 1811 x 6771 = 333,300,640

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


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