Q: What are the prime factors of the number 171,344,512?

 A: 2, 109, 12281

Why are those the prime factors of the number 171,344,512?

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 171,344,512

171,344,512
Factor Arrows
285,672,256
Factor Arrows
242,836,128
Factor Arrows
221,418,064
Factor Arrows
210,709,032
Factor Arrows
25,354,516
Factor Arrows
22,677,258
Factor Arrows
21,338,629
Factor Arrows
10912,281

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, 109, 12281

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 109 x 12,281 = 171,344,512

This can also be written as 27 x 1091 x 12,2811 = 171,344,512

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


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