Q: What are the prime factors of the number 401,210,512?

 A: 2, 149, 168293

Why are those the prime factors of the number 401,210,512?

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 401,210,512

401,210,512
Factor Arrows
2200,605,256
Factor Arrows
2100,302,628
Factor Arrows
250,151,314
Factor Arrows
225,075,657
Factor Arrows
149168,293

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, 149, 168293

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 149 x 168,293 = 401,210,512

This can also be written as 24 x 1491 x 168,2931 = 401,210,512

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


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