Use the tree to write the prime factor decomposition of 130

The number 130 is factored into 13 and another number. To find this number, divide 130 by 13.

$$130 \div 13 = 10$$

So, the number in the square is 10.

The number 10 is not prime, so it needs to be factored further into its prime components.
The prime factors of 10 are 2 and 5.

$$10 = 2 \times 5$$

So, the numbers in the two empty circles are 2 and 5.

The prime factors are the numbers at the end of each branch: 13, 2, and 5.
Writing them in ascending order gives the prime factor decomposition.

$$130 = 2 \times 5 \times 13$$

The prime factor decomposition of 130 is $\boxed{2 \times 5 \times 13}$.