Q: What are the prime factors of the number 4,484,224?

 A: 2, 53, 661

Why are those the prime factors of the number 4,484,224?

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 4,484,224

4,484,224
Factor Arrows
22,242,112
Factor Arrows
21,121,056
Factor Arrows
2560,528
Factor Arrows
2280,264
Factor Arrows
2140,132
Factor Arrows
270,066
Factor Arrows
235,033
Factor Arrows
53661

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, 53, 661

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 53 x 661 = 4,484,224

This can also be written as 27 x 531 x 6611 = 4,484,224

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


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