Q: What are the prime factors of the number 863,780,375?

 A: 5, 19, 367, 991

Why are those the prime factors of the number 863,780,375?

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 863,780,375

863,780,375
Factor Arrows
5172,756,075
Factor Arrows
534,551,215
Factor Arrows
56,910,243
Factor Arrows
19363,697
Factor Arrows
367991

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:

5, 19, 367, 991

We can check our work by multiplying all of the prime factors together: 5 x 5 x 5 x 19 x 367 x 991 = 863,780,375

This can also be written as 53 x 191 x 3671 x 9911 = 863,780,375

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


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