Q: What are the prime factors of the number 278,481,164?

 A: 2, 13, 5355407

Why are those the prime factors of the number 278,481,164?

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 278,481,164

278,481,164
Factor Arrows
2139,240,582
Factor Arrows
269,620,291
Factor Arrows
135,355,407

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, 13, 5355407

We can check our work by multiplying all of the prime factors together: 2 x 2 x 13 x 5,355,407 = 278,481,164

This can also be written as 22 x 131 x 5,355,4071 = 278,481,164

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


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