Q: What are the prime factors of the number 207,271,536?

 A: 2, 3, 4318157

Why are those the prime factors of the number 207,271,536?

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 207,271,536

207,271,536
Factor Arrows
2103,635,768
Factor Arrows
251,817,884
Factor Arrows
225,908,942
Factor Arrows
212,954,471
Factor Arrows
34,318,157

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, 4318157

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 4,318,157 = 207,271,536

This can also be written as 24 x 31 x 4,318,1571 = 207,271,536

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


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