Q: What are the prime factors of the number 114,155,136?

 A: 2, 3, 17, 29, 67

Why are those the prime factors of the number 114,155,136?

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 114,155,136

114,155,136
Factor Arrows
257,077,568
Factor Arrows
228,538,784
Factor Arrows
214,269,392
Factor Arrows
27,134,696
Factor Arrows
23,567,348
Factor Arrows
21,783,674
Factor Arrows
2891,837
Factor Arrows
3297,279
Factor Arrows
399,093
Factor Arrows
333,031
Factor Arrows
171,943
Factor Arrows
2967

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, 17, 29, 67

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 17 x 29 x 67 = 114,155,136

This can also be written as 27 x 33 x 171 x 291 x 671 = 114,155,136

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


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