Q: What are the prime factors of the number 546,521,310?

 A: 2, 3, 5, 2024153

Why are those the prime factors of the number 546,521,310?

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 546,521,310

546,521,310
Factor Arrows
2273,260,655
Factor Arrows
391,086,885
Factor Arrows
330,362,295
Factor Arrows
310,120,765
Factor Arrows
52,024,153

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, 5, 2024153

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 2,024,153 = 546,521,310

This can also be written as 21 x 33 x 51 x 2,024,1531 = 546,521,310

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


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