Q: What are the prime factors of the number 114,212,032?

 A: 2, 11, 53, 3061

Why are those the prime factors of the number 114,212,032?

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 114,212,032

114,212,032
Factor Arrows
257,106,016
Factor Arrows
228,553,008
Factor Arrows
214,276,504
Factor Arrows
27,138,252
Factor Arrows
23,569,126
Factor Arrows
21,784,563
Factor Arrows
11162,233
Factor Arrows
533,061

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, 11, 53, 3061

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 11 x 53 x 3,061 = 114,212,032

This can also be written as 26 x 111 x 531 x 3,0611 = 114,212,032

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


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