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Binary tree structure with values 2 and 13 at the bottom levels.

A binary tree diagram with numerical values and empty nodes, showing a hierarchical structure with numbers 2 and 13 at the leaf levels.

A binary tree diagram with numerical values and empty nodes, showing a hierarchical structure with numbers 2 and 13 at the leaf levels.

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Show Answer Key & Explanations Step-by-step solution for: Fill in the missing numbers in the Factor Tree
It looks like you've uploaded an image of a tree diagram with numbers and blank boxes. Based on the structure, this appears to be a mathematical tree puzzle, where each box is derived from the numbers below it using some rule (likely arithmetic). Let's analyze it step by step.

Here’s the structure of the tree:

```
[ ]
/ \
[2] [ ]
/ \
[2] [ ]
/ \
[2] [13]
```

We can label the nodes for clarity:

- Let’s call the top node A
- The left child of A is B = 2
- The right child of A is C (unknown)
- The left child of C is D = 2
- The right child of C is E (unknown)
- The left child of E is F = 2
- The right child of E is G = 13

So the full structure is:

```
A
/ \
2 C
/ \
2 E
/ \
2 13
```

Now we need to figure out what operation is being applied at each node. Since all the known values are small integers and the bottom-right is 13, which is larger than others, likely the rule is addition or multiplication.

Let’s suppose that each parent node is the sum of its two children. This is a common pattern in such puzzles.

Step 1: Work from the bottom up.



Start with node E:
- Left child: 2
- Right child: 13
- So E = 2 + 13 = 15

Now go to node C:
- Left child: 2
- Right child: E = 15
- So C = 2 + 15 = 17

Now go to node A:
- Left child: 2
- Right child: C = 17
- So A = 2 + 17 = 19

Thus, the completed tree is:

```
19
/ \
2 17
/ \
2 15
/ \
2 13
```

Final Answer:


The missing values are:
- Top node: 19
- Middle right node (C): 17
- Bottom middle node (E): 15

So the filled-in tree is:

```
[19]
/ \
[2] [17]
/ \
[2] [15]
/ \
[2] [13]
```

Answer: The missing numbers are 15, 17, and 19 (from bottom to top).

---

Alternative Check: Could it be multiplication?



Try multiplication:
- E = 2 × 13 = 26
- C = 2 × 26 = 52
- A = 2 × 52 = 104

That gives much larger numbers, and doesn’t seem as clean. Also, no indication of multiplication.

But if we consider sums, everything adds up nicely.

Also, notice that the pattern could be interpreted as building a number from smaller parts — but since 2+13=15, and 2+15=17, and 2+17=19, it's consistent.

Therefore, the most logical solution is based on addition.

---

Final Answer:


The missing values are:
- Bottom right of middle branch: 15
- Middle right node: 17
- Top node: 19

So the completed tree has values:
19, 17, 15 in the blanks (top to bottom, right side).
Parent Tip: Review the logic above to help your child master the concept of factor tree of 13.
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