Q: What are the prime factors of the number 206,251,040?

 A: 2, 5, 47, 27427

Why are those the prime factors of the number 206,251,040?

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 206,251,040

206,251,040
Factor Arrows
2103,125,520
Factor Arrows
251,562,760
Factor Arrows
225,781,380
Factor Arrows
212,890,690
Factor Arrows
26,445,345
Factor Arrows
51,289,069
Factor Arrows
4727,427

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, 47, 27427

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 47 x 27,427 = 206,251,040

This can also be written as 25 x 51 x 471 x 27,4271 = 206,251,040

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


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