Q: What are the prime factors of the number 987,543,250?

 A: 2, 5, 3950173

Why are those the prime factors of the number 987,543,250?

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 987,543,250

987,543,250
Factor Arrows
2493,771,625
Factor Arrows
598,754,325
Factor Arrows
519,750,865
Factor Arrows
53,950,173

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, 3950173

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 5 x 3,950,173 = 987,543,250

This can also be written as 21 x 53 x 3,950,1731 = 987,543,250

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


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