Q: What are the prime factors of the number 333,112,437?

 A: 3, 7, 755357

Why are those the prime factors of the number 333,112,437?

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 333,112,437

333,112,437
Factor Arrows
3111,037,479
Factor Arrows
337,012,493
Factor Arrows
75,287,499
Factor Arrows
7755,357

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:

3, 7, 755357

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 7 x 755,357 = 333,112,437

This can also be written as 32 x 72 x 755,3571 = 333,112,437

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


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