Q: What are the prime factors of the number 642,278,622?

 A: 2, 3, 19, 5634023

Why are those the prime factors of the number 642,278,622?

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 642,278,622

642,278,622
Factor Arrows
2321,139,311
Factor Arrows
3107,046,437
Factor Arrows
195,634,023

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, 19, 5634023

We can check our work by multiplying all of the prime factors together: 2 x 3 x 19 x 5,634,023 = 642,278,622

This can also be written as 21 x 31 x 191 x 5,634,0231 = 642,278,622

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


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