Q: What are the prime factors of the number 122,547,777?

 A: 3, 11, 19, 241, 811

Why are those the prime factors of the number 122,547,777?

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 122,547,777

122,547,777
Factor Arrows
340,849,259
Factor Arrows
113,713,569
Factor Arrows
19195,451
Factor Arrows
241811

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, 11, 19, 241, 811

We can check our work by multiplying all of the prime factors together: 3 x 11 x 19 x 241 x 811 = 122,547,777

This can also be written as 31 x 111 x 191 x 2411 x 8111 = 122,547,777

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


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