Q: What are the prime factors of the number 18,208,552?

 A: 2, 47, 79, 613

Why are those the prime factors of the number 18,208,552?

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 18,208,552

18,208,552
Factor Arrows
29,104,276
Factor Arrows
24,552,138
Factor Arrows
22,276,069
Factor Arrows
4748,427
Factor Arrows
79613

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, 47, 79, 613

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 47 x 79 x 613 = 18,208,552

This can also be written as 23 x 471 x 791 x 6131 = 18,208,552

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


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