Q: What are the prime factors of the number 422,324,250?

 A: 2, 3, 5, 563099

Why are those the prime factors of the number 422,324,250?

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 422,324,250

422,324,250
Factor Arrows
2211,162,125
Factor Arrows
370,387,375
Factor Arrows
514,077,475
Factor Arrows
52,815,495
Factor Arrows
5563,099

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, 3, 5, 563099

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 5 x 563,099 = 422,324,250

This can also be written as 21 x 31 x 53 x 563,0991 = 422,324,250

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


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