Q: What are the prime factors of the number 122,416,614?

 A: 2, 3, 43, 158161

Why are those the prime factors of the number 122,416,614?

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 122,416,614

122,416,614
Factor Arrows
261,208,307
Factor Arrows
320,402,769
Factor Arrows
36,800,923
Factor Arrows
43158,161

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, 43, 158161

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 43 x 158,161 = 122,416,614

This can also be written as 21 x 32 x 431 x 158,1611 = 122,416,614

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


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