Q: What are the prime factors of the number 187,247,856?

 A: 2, 3, 199, 19603

Why are those the prime factors of the number 187,247,856?

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 187,247,856

187,247,856
Factor Arrows
293,623,928
Factor Arrows
246,811,964
Factor Arrows
223,405,982
Factor Arrows
211,702,991
Factor Arrows
33,900,997
Factor Arrows
19919,603

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, 3, 199, 19603

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 199 x 19,603 = 187,247,856

This can also be written as 24 x 31 x 1991 x 19,6031 = 187,247,856

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


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