Q: What are the prime factors of the number 332,211,130?

 A: 2, 5, 71, 467903

Why are those the prime factors of the number 332,211,130?

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 332,211,130

332,211,130
Factor Arrows
2166,105,565
Factor Arrows
533,221,113
Factor Arrows
71467,903

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, 5, 71, 467903

We can check our work by multiplying all of the prime factors together: 2 x 5 x 71 x 467,903 = 332,211,130

This can also be written as 21 x 51 x 711 x 467,9031 = 332,211,130

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


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