Q: What are the prime factors of the number 186,337,848?

 A: 2, 3, 7764077

Why are those the prime factors of the number 186,337,848?

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 186,337,848

186,337,848
Factor Arrows
293,168,924
Factor Arrows
246,584,462
Factor Arrows
223,292,231
Factor Arrows
37,764,077

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, 7764077

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 7,764,077 = 186,337,848

This can also be written as 23 x 31 x 7,764,0771 = 186,337,848

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


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