Q: What are the prime factors of the number 215,455,232?

 A: 2, 420811

Why are those the prime factors of the number 215,455,232?

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 215,455,232

215,455,232
Factor Arrows
2107,727,616
Factor Arrows
253,863,808
Factor Arrows
226,931,904
Factor Arrows
213,465,952
Factor Arrows
26,732,976
Factor Arrows
23,366,488
Factor Arrows
21,683,244
Factor Arrows
2841,622
Factor Arrows
2420,811

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, 420811

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 420,811 = 215,455,232

This can also be written as 29 x 420,8111 = 215,455,232

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


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