Prime Factorization worksheet using the ladder method to find prime factors of given numbers.

I'll solve this prime factorization worksheet using the Ladder Method as requested. Let me go through each problem step by step.

Problem 1: 64 (already solved as an example)

The worksheet shows: 64 = 2×2×2×2×2×2
This is correct since 2^6 = 64.

Problem 2: 80

Let me find the prime factors of 80 using the Ladder Method:
- 80 ÷ 2 = 40
- 40 ÷ 2 = 20
- 20 ÷ 2 = 10
- 10 ÷ 2 = 5
- 5 ÷ 5 = 1

So, 80 = 2×2×2×2×5 = 2⁴×5

Problem 3: 90

Using the Ladder Method:
- 90 ÷ 2 = 45
- 45 ÷ 3 = 15
- 15 ÷ 3 = 5
- 5 ÷ 5 = 1

So, 90 = 2×3×3×5 = 2×3²×5

Problem 4: 72

Using the Ladder Method:
- 72 ÷ 2 = 36
- 36 ÷ 2 = 18
- 18 ÷ 2 = 9
- 9 ÷ 3 = 3
- 3 ÷ 3 = 1

So, 72 = 2×2×2×3×3 = 2³×3²

Problem 5: 120

Using the Ladder Method:
- 120 ÷ 2 = 60
- 60 ÷ 2 = 30
- 30 ÷ 2 = 15
- 15 ÷ 3 = 5
- 5 ÷ 5 = 1

So, 120 = 2×2×2×3×5 = 2³×3×5

Problem 6: 150

Using the Ladder Method:
- 150 ÷ 2 = 75
- 75 ÷ 3 = 25
- 25 ÷ 5 = 5
- 5 ÷ 5 = 1

So, 150 = 2×3×5×5 = 2×3×5²

Here are the completed answers for the worksheet:

2) 80 = 2×2×2×2×5
3) 90 = 2×3×3×5
4) 72 = 2×2×2×3×3
5) 120 = 2×2×2×3×5
6) 150 = 2×3×5×5