Q: What are the prime factors of the number 333,432,750?

 A: 2, 3, 5, 7, 43, 211

Why are those the prime factors of the number 333,432,750?

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 333,432,750

333,432,750
Factor Arrows
2166,716,375
Factor Arrows
355,572,125
Factor Arrows
511,114,425
Factor Arrows
52,222,885
Factor Arrows
5444,577
Factor Arrows
763,511
Factor Arrows
79,073
Factor Arrows
43211

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, 5, 7, 43, 211

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 5 x 7 x 7 x 43 x 211 = 333,432,750

This can also be written as 21 x 31 x 53 x 72 x 431 x 2111 = 333,432,750

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


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