Q: What are the prime factors of the number 332,120,355?

 A: 3, 5, 7, 3163051

Why are those the prime factors of the number 332,120,355?

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 332,120,355

332,120,355
Factor Arrows
3110,706,785
Factor Arrows
522,141,357
Factor Arrows
73,163,051

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, 5, 7, 3163051

We can check our work by multiplying all of the prime factors together: 3 x 5 x 7 x 3,163,051 = 332,120,355

This can also be written as 31 x 51 x 71 x 3,163,0511 = 332,120,355

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


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