Q: What are the prime factors of the number 122,402,350?

 A: 2, 5, 7, 191, 1831

Why are those the prime factors of the number 122,402,350?

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 122,402,350

122,402,350
Factor Arrows
261,201,175
Factor Arrows
512,240,235
Factor Arrows
52,448,047
Factor Arrows
7349,721
Factor Arrows
1911,831

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, 191, 1831

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 7 x 191 x 1,831 = 122,402,350

This can also be written as 21 x 52 x 71 x 1911 x 1,8311 = 122,402,350

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


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