Q: What are the prime factors of the number 332,223,030?

 A: 2, 3, 5, 3691367

Why are those the prime factors of the number 332,223,030?

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 332,223,030

332,223,030
Factor Arrows
2166,111,515
Factor Arrows
355,370,505
Factor Arrows
318,456,835
Factor Arrows
53,691,367

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, 3691367

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 3,691,367 = 332,223,030

This can also be written as 21 x 32 x 51 x 3,691,3671 = 332,223,030

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


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