Q: What are the prime factors of the number 987,543,243?

 A: 3, 17, 149, 43319

Why are those the prime factors of the number 987,543,243?

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 987,543,243

987,543,243
Factor Arrows
3329,181,081
Factor Arrows
3109,727,027
Factor Arrows
176,454,531
Factor Arrows
14943,319

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, 17, 149, 43319

We can check our work by multiplying all of the prime factors together: 3 x 3 x 17 x 149 x 43,319 = 987,543,243

This can also be written as 32 x 171 x 1491 x 43,3191 = 987,543,243

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


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