Q: What are the prime factors of the number 510,324,420?

 A: 2, 3, 5, 19, 449, 997

Why are those the prime factors of the number 510,324,420?

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 510,324,420

510,324,420
Factor Arrows
2255,162,210
Factor Arrows
2127,581,105
Factor Arrows
342,527,035
Factor Arrows
58,505,407
Factor Arrows
19447,653
Factor Arrows
449997

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, 19, 449, 997

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 19 x 449 x 997 = 510,324,420

This can also be written as 22 x 31 x 51 x 191 x 4491 x 9971 = 510,324,420

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


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