Q: What are the prime factors of the number 4,271,232?

 A: 2, 3, 7, 227

Why are those the prime factors of the number 4,271,232?

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 4,271,232

4,271,232
Factor Arrows
22,135,616
Factor Arrows
21,067,808
Factor Arrows
2533,904
Factor Arrows
2266,952
Factor Arrows
2133,476
Factor Arrows
266,738
Factor Arrows
233,369
Factor Arrows
311,123
Factor Arrows
71,589
Factor Arrows
7227

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, 7, 227

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 3 x 7 x 7 x 227 = 4,271,232

This can also be written as 27 x 31 x 72 x 2271 = 4,271,232

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


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