Q: What are the prime factors of the number 303,845,443?

 A: 11, 37, 20177

Why are those the prime factors of the number 303,845,443?

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 303,845,443

303,845,443
Factor Arrows
1127,622,313
Factor Arrows
37746,549
Factor Arrows
3720,177

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:

11, 37, 20177

We can check our work by multiplying all of the prime factors together: 11 x 37 x 37 x 20,177 = 303,845,443

This can also be written as 111 x 372 x 20,1771 = 303,845,443

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


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