The factor tree for 3,025 is shown. A factor tree starts with 3,025 at the top. 3,025 branches down to 5 on the left and 605 to the right. 605 branches down to 5 on the left and 121 on the right. 121 branches down to 11 on the left and 11 on the right. What is the simplest form of StartRoot 3,025 EndRoot?

(5^2)(11^2)

Step-by-step explanation:

Taking all the factors in the left hand side of the factor tree, we have

5,5,11,11

5 twice

5^2=25

11 twice

11^2=121

The factor of 3,025=(5^2)(11^2)

Alternatively

3025÷5=605

605÷5=121

121÷11=11

11÷11=1

We have prime number 5 as divider twice and prime number 11 as a divider twice

Therefore,

5^2*11^2=3,025

Check

(5^2)(11^2)

=(25)(121)

=3,025

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