Q: What are the prime factors of the number 52,055,208?

 A: 2, 3, 131, 5519

Why are those the prime factors of the number 52,055,208?

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 52,055,208

52,055,208
Factor Arrows
226,027,604
Factor Arrows
213,013,802
Factor Arrows
26,506,901
Factor Arrows
32,168,967
Factor Arrows
3722,989
Factor Arrows
1315,519

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, 131, 5519

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 131 x 5,519 = 52,055,208

This can also be written as 23 x 32 x 1311 x 5,5191 = 52,055,208

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


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