Q: What are the prime factors of the number 324,476,136?

 A: 2, 3, 449, 10037

Why are those the prime factors of the number 324,476,136?

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 324,476,136

324,476,136
Factor Arrows
2162,238,068
Factor Arrows
281,119,034
Factor Arrows
240,559,517
Factor Arrows
313,519,839
Factor Arrows
34,506,613
Factor Arrows
44910,037

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, 449, 10037

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 449 x 10,037 = 324,476,136

This can also be written as 23 x 32 x 4491 x 10,0371 = 324,476,136

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


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