Q: What are the prime factors of the number 540,121,356?

 A: 2, 3, 15003371

Why are those the prime factors of the number 540,121,356?

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 540,121,356

540,121,356
Factor Arrows
2270,060,678
Factor Arrows
2135,030,339
Factor Arrows
345,010,113
Factor Arrows
315,003,371

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, 15003371

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 15,003,371 = 540,121,356

This can also be written as 22 x 32 x 15,003,3711 = 540,121,356

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


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