Q: What are the prime factors of the number 424,200,110?

 A: 2, 5, 29, 1462759

Why are those the prime factors of the number 424,200,110?

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 424,200,110

424,200,110
Factor Arrows
2212,100,055
Factor Arrows
542,420,011
Factor Arrows
291,462,759

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, 29, 1462759

We can check our work by multiplying all of the prime factors together: 2 x 5 x 29 x 1,462,759 = 424,200,110

This can also be written as 21 x 51 x 291 x 1,462,7591 = 424,200,110

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


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