Q: What are the prime factors of the number 190,899,320?

 A: 2, 5, 4772483

Why are those the prime factors of the number 190,899,320?

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 190,899,320

190,899,320
Factor Arrows
295,449,660
Factor Arrows
247,724,830
Factor Arrows
223,862,415
Factor Arrows
54,772,483

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, 4772483

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 4,772,483 = 190,899,320

This can also be written as 23 x 51 x 4,772,4831 = 190,899,320

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


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