Q: What are the prime factors of the number 151,644,350?

 A: 2, 5, 11, 13, 127, 167

Why are those the prime factors of the number 151,644,350?

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 151,644,350

151,644,350
Factor Arrows
275,822,175
Factor Arrows
515,164,435
Factor Arrows
53,032,887
Factor Arrows
11275,717
Factor Arrows
1321,209
Factor Arrows
127167

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, 11, 13, 127, 167

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 11 x 13 x 127 x 167 = 151,644,350

This can also be written as 21 x 52 x 111 x 131 x 1271 x 1671 = 151,644,350

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


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