Q: What are the prime factors of the number 263,277,015?

 A: 3, 5, 19, 37, 24967

Why are those the prime factors of the number 263,277,015?

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 263,277,015

263,277,015
Factor Arrows
387,759,005
Factor Arrows
517,551,801
Factor Arrows
19923,779
Factor Arrows
3724,967

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:

3, 5, 19, 37, 24967

We can check our work by multiplying all of the prime factors together: 3 x 5 x 19 x 37 x 24,967 = 263,277,015

This can also be written as 31 x 51 x 191 x 371 x 24,9671 = 263,277,015

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


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