Q: What are the prime factors of the number 172,077,264?

 A: 2, 3, 17, 23431

Why are those the prime factors of the number 172,077,264?

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 172,077,264

172,077,264
Factor Arrows
286,038,632
Factor Arrows
243,019,316
Factor Arrows
221,509,658
Factor Arrows
210,754,829
Factor Arrows
33,584,943
Factor Arrows
31,194,981
Factor Arrows
3398,327
Factor Arrows
1723,431

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, 23431

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 17 x 23,431 = 172,077,264

This can also be written as 24 x 33 x 171 x 23,4311 = 172,077,264

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


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