Q: What are the prime factors of the number 255,615,684?

 A: 2, 3, 37, 575711

Why are those the prime factors of the number 255,615,684?

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 255,615,684

255,615,684
Factor Arrows
2127,807,842
Factor Arrows
263,903,921
Factor Arrows
321,301,307
Factor Arrows
37575,711

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, 37, 575711

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 37 x 575,711 = 255,615,684

This can also be written as 22 x 31 x 371 x 575,7111 = 255,615,684

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


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