Q: What are the prime factors of the number 808,358,372?

 A: 2, 1021, 197933

Why are those the prime factors of the number 808,358,372?

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 808,358,372

808,358,372
Factor Arrows
2404,179,186
Factor Arrows
2202,089,593
Factor Arrows
1,021197,933

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, 1021, 197933

We can check our work by multiplying all of the prime factors together: 2 x 2 x 1,021 x 197,933 = 808,358,372

This can also be written as 22 x 1,0211 x 197,9331 = 808,358,372

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


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