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

2 Answers

6 votes
5 into 3025 = 605

5 into 605 = 121

11 into 121 = 11

11 into 11 = 1.

The tree factor = 5 * 5 * 11 * 11
User Mpeerman
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6 votes

The correct answer is:

The prime factorization of 3025 is 5²(11²).

Step-by-step 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).

User Balint Bako
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