Q: What are the prime factors of the number 206,750,432?

 A: 2, 7, 922993

Why are those the prime factors of the number 206,750,432?

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 206,750,432

206,750,432
Factor Arrows
2103,375,216
Factor Arrows
251,687,608
Factor Arrows
225,843,804
Factor Arrows
212,921,902
Factor Arrows
26,460,951
Factor Arrows
7922,993

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, 7, 922993

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 922,993 = 206,750,432

This can also be written as 25 x 71 x 922,9931 = 206,750,432

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


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