Q: What are the prime factors of the number 92,483,678?

 A: 2, 7, 19, 49669

Why are those the prime factors of the number 92,483,678?

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 92,483,678

92,483,678
Factor Arrows
246,241,839
Factor Arrows
76,605,977
Factor Arrows
7943,711
Factor Arrows
1949,669

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, 7, 19, 49669

We can check our work by multiplying all of the prime factors together: 2 x 7 x 7 x 19 x 49,669 = 92,483,678

This can also be written as 21 x 72 x 191 x 49,6691 = 92,483,678

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


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