What is the prime factorization of 561?

Answer 1

251 is prime. It has no factors other than itself and 1. Its prime factorization is just 251.

You can check this by dividing 251 by 2, 3, 5, 7, 11, and 13 and noticing that none of them go in evenly. Since 17*17 = 289 and 289 is bigger than 251 there is no need to keep dividing further: if there were a factor of more than 17, it would have to go in a number of times less than 17 and that factor less than 17 would have already been found.

Answer 2

Use a factor tree.

250

125,2

25,5,2

5,5,5,2

Answer 3

They are: 2*5*5*5 = 250

Answer 4

2 x 5 x 5 x 5 = 250

Answer 5

254 = 2 x 127

Answer 6

3 * 11 * 17