Q: What are the prime factors of the number 207,427,168?

 A: 2, 13, 47, 103

Why are those the prime factors of the number 207,427,168?

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 207,427,168

207,427,168
Factor Arrows
2103,713,584
Factor Arrows
251,856,792
Factor Arrows
225,928,396
Factor Arrows
212,964,198
Factor Arrows
26,482,099
Factor Arrows
13498,623
Factor Arrows
4710,609
Factor Arrows
103103

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, 13, 47, 103

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 13 x 47 x 103 x 103 = 207,427,168

This can also be written as 25 x 131 x 471 x 1032 = 207,427,168

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


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