Q: What are the prime factors of the number 899,552?

 A: 2, 28111

Why are those the prime factors of the number 899,552?

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 899,552

899,552
Factor Arrows
2449,776
Factor Arrows
2224,888
Factor Arrows
2112,444
Factor Arrows
256,222
Factor Arrows
228,111

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, 28111

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 28,111 = 899,552

This can also be written as 25 x 28,1111 = 899,552

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


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