Q: What are the prime factors of the number 2,447,232?

 A: 2, 3, 6373

Why are those the prime factors of the number 2,447,232?

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 2,447,232

2,447,232
Factor Arrows
21,223,616
Factor Arrows
2611,808
Factor Arrows
2305,904
Factor Arrows
2152,952
Factor Arrows
276,476
Factor Arrows
238,238
Factor Arrows
219,119
Factor Arrows
36,373

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, 6373

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 6,373 = 2,447,232

This can also be written as 27 x 31 x 6,3731 = 2,447,232

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


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