Q: What are the prime factors of the number 520,452,054?

 A: 2, 3, 269, 1327

Why are those the prime factors of the number 520,452,054?

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 520,452,054

520,452,054
Factor Arrows
2260,226,027
Factor Arrows
386,742,009
Factor Arrows
328,914,003
Factor Arrows
39,638,001
Factor Arrows
33,212,667
Factor Arrows
31,070,889
Factor Arrows
3356,963
Factor Arrows
2691,327

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, 269, 1327

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 3 x 269 x 1,327 = 520,452,054

This can also be written as 21 x 36 x 2691 x 1,3271 = 520,452,054

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


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