Question

The factor tree for 3,025 is shown. the simplest form of is _____

Answer 1

The correct answer is:

The prime factorization of 3025 is 5²(11²).

Explanation:

Since 3025 ends in 5, we know it is divisible by 5:

3025/5 = 605

This gives us 5(605) so far.

Since 605 ends in 5, it is divisible by 5: 605/5 = 121.

This gives us 5(5)(121).

121 is divisible by 11: 121/11 = 11.

This gives us 5(5)(11)(11). These are all prime numbers, so we cannot break it down any further. This means our answer is 5²(11²).

Answer 2

5 into 3025 = 605

5 into 605 =  121

11 into 121 = 11

11 into 11 = 1.

The tree factor = 5 * 5 * 11 * 11