Q: What are the prime factors of the number 457,640,810?

 A: 2, 5, 11, 4160371

Why are those the prime factors of the number 457,640,810?

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 457,640,810

457,640,810
Factor Arrows
2228,820,405
Factor Arrows
545,764,081
Factor Arrows
114,160,371

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, 11, 4160371

We can check our work by multiplying all of the prime factors together: 2 x 5 x 11 x 4,160,371 = 457,640,810

This can also be written as 21 x 51 x 111 x 4,160,3711 = 457,640,810

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


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