Q: What are the prime factors of the number 13,456,779?

 A: 3, 7, 59, 10861

Why are those the prime factors of the number 13,456,779?

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 13,456,779

13,456,779
Factor Arrows
34,485,593
Factor Arrows
7640,799
Factor Arrows
5910,861

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:

3, 7, 59, 10861

We can check our work by multiplying all of the prime factors together: 3 x 7 x 59 x 10,861 = 13,456,779

This can also be written as 31 x 71 x 591 x 10,8611 = 13,456,779

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


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