Q: What are the prime factors of the number 78,320,014?

 A: 2, 19, 23, 89611

Why are those the prime factors of the number 78,320,014?

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 78,320,014

78,320,014
Factor Arrows
239,160,007
Factor Arrows
192,061,053
Factor Arrows
2389,611

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, 19, 23, 89611

We can check our work by multiplying all of the prime factors together: 2 x 19 x 23 x 89,611 = 78,320,014

This can also be written as 21 x 191 x 231 x 89,6111 = 78,320,014

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


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