Q: What are the prime factors of the number 403,433,136?

 A: 2, 3, 311291

Why are those the prime factors of the number 403,433,136?

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 403,433,136

403,433,136
Factor Arrows
2201,716,568
Factor Arrows
2100,858,284
Factor Arrows
250,429,142
Factor Arrows
225,214,571
Factor Arrows
38,404,857
Factor Arrows
32,801,619
Factor Arrows
3933,873
Factor Arrows
3311,291

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, 311291

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 311,291 = 403,433,136

This can also be written as 24 x 34 x 311,2911 = 403,433,136

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


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