Q: What are the prime factors of the number 52,220,600?

 A: 2, 5, 17, 15359

Why are those the prime factors of the number 52,220,600?

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 52,220,600

52,220,600
Factor Arrows
226,110,300
Factor Arrows
213,055,150
Factor Arrows
26,527,575
Factor Arrows
51,305,515
Factor Arrows
5261,103
Factor Arrows
1715,359

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, 5, 17, 15359

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 17 x 15,359 = 52,220,600

This can also be written as 23 x 52 x 171 x 15,3591 = 52,220,600

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


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