Q: What are the prime factors of the number 121,105,554?

 A: 2, 3, 41, 492299

Why are those the prime factors of the number 121,105,554?

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 121,105,554

121,105,554
Factor Arrows
260,552,777
Factor Arrows
320,184,259
Factor Arrows
41492,299

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, 3, 41, 492299

We can check our work by multiplying all of the prime factors together: 2 x 3 x 41 x 492,299 = 121,105,554

This can also be written as 21 x 31 x 411 x 492,2991 = 121,105,554

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


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