Q: What are the prime factors of the number 122,552,520?

 A: 2, 3, 5, 1021271

Why are those the prime factors of the number 122,552,520?

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 122,552,520

122,552,520
Factor Arrows
261,276,260
Factor Arrows
230,638,130
Factor Arrows
215,319,065
Factor Arrows
35,106,355
Factor Arrows
51,021,271

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, 5, 1021271

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 1,021,271 = 122,552,520

This can also be written as 23 x 31 x 51 x 1,021,2711 = 122,552,520

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


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