Q: What are the prime factors of the number 320,010,152?

 A: 2, 7, 11, 83, 569

Why are those the prime factors of the number 320,010,152?

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 320,010,152

320,010,152
Factor Arrows
2160,005,076
Factor Arrows
280,002,538
Factor Arrows
240,001,269
Factor Arrows
75,714,467
Factor Arrows
11519,497
Factor Arrows
1147,227
Factor Arrows
83569

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, 7, 11, 83, 569

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 11 x 11 x 83 x 569 = 320,010,152

This can also be written as 23 x 71 x 112 x 831 x 5691 = 320,010,152

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


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