Q: What are the prime factors of the number 303,851,232?

 A: 2, 3, 1055039

Why are those the prime factors of the number 303,851,232?

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 303,851,232

303,851,232
Factor Arrows
2151,925,616
Factor Arrows
275,962,808
Factor Arrows
237,981,404
Factor Arrows
218,990,702
Factor Arrows
29,495,351
Factor Arrows
33,165,117
Factor Arrows
31,055,039

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, 1055039

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 1,055,039 = 303,851,232

This can also be written as 25 x 32 x 1,055,0391 = 303,851,232

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


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