Q: What are the prime factors of the number 863,780,380?

 A: 2, 5, 1933, 22343

Why are those the prime factors of the number 863,780,380?

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 863,780,380

863,780,380
Factor Arrows
2431,890,190
Factor Arrows
2215,945,095
Factor Arrows
543,189,019
Factor Arrows
1,93322,343

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, 1933, 22343

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 1,933 x 22,343 = 863,780,380

This can also be written as 22 x 51 x 1,9331 x 22,3431 = 863,780,380

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


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