Q: What are the prime factors of the number 332,046,636?

 A: 2, 3, 29, 954157

Why are those the prime factors of the number 332,046,636?

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 332,046,636

332,046,636
Factor Arrows
2166,023,318
Factor Arrows
283,011,659
Factor Arrows
327,670,553
Factor Arrows
29954,157

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, 29, 954157

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 29 x 954,157 = 332,046,636

This can also be written as 22 x 31 x 291 x 954,1571 = 332,046,636

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


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