Q: What are the prime factors of the number 122,212,300?

 A: 2, 5, 7, 71, 2459

Why are those the prime factors of the number 122,212,300?

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 122,212,300

122,212,300
Factor Arrows
261,106,150
Factor Arrows
230,553,075
Factor Arrows
56,110,615
Factor Arrows
51,222,123
Factor Arrows
7174,589
Factor Arrows
712,459

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, 7, 71, 2459

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 7 x 71 x 2,459 = 122,212,300

This can also be written as 22 x 52 x 71 x 711 x 2,4591 = 122,212,300

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


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