Q: What are the prime factors of the number 263,125,660?

 A: 2, 5, 7, 17, 110557

Why are those the prime factors of the number 263,125,660?

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 263,125,660

263,125,660
Factor Arrows
2131,562,830
Factor Arrows
265,781,415
Factor Arrows
513,156,283
Factor Arrows
71,879,469
Factor Arrows
17110,557

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, 5, 7, 17, 110557

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 17 x 110,557 = 263,125,660

This can also be written as 22 x 51 x 71 x 171 x 110,5571 = 263,125,660

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


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