Q: What are the prime factors of the number 122,020,424?

 A: 2, 17, 89, 593

Why are those the prime factors of the number 122,020,424?

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 122,020,424

122,020,424
Factor Arrows
261,010,212
Factor Arrows
230,505,106
Factor Arrows
215,252,553
Factor Arrows
17897,209
Factor Arrows
1752,777
Factor Arrows
89593

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, 17, 89, 593

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 17 x 17 x 89 x 593 = 122,020,424

This can also be written as 23 x 172 x 891 x 5931 = 122,020,424

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


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