Q: What are the prime factors of the number 411,113,244?

 A: 2, 3, 17, 211, 9551

Why are those the prime factors of the number 411,113,244?

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 411,113,244

411,113,244
Factor Arrows
2205,556,622
Factor Arrows
2102,778,311
Factor Arrows
334,259,437
Factor Arrows
172,015,261
Factor Arrows
2119,551

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, 17, 211, 9551

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 17 x 211 x 9,551 = 411,113,244

This can also be written as 22 x 31 x 171 x 2111 x 9,5511 = 411,113,244

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


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