Q: What are the prime factors of the number 405,665,512?

 A: 2, 7, 1034861

Why are those the prime factors of the number 405,665,512?

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 405,665,512

405,665,512
Factor Arrows
2202,832,756
Factor Arrows
2101,416,378
Factor Arrows
250,708,189
Factor Arrows
77,244,027
Factor Arrows
71,034,861

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, 1034861

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 7 x 1,034,861 = 405,665,512

This can also be written as 23 x 72 x 1,034,8611 = 405,665,512

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


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