First, find the area of the rectangular paper: 104 × 88 = 9152 cm²
Since we want to find the number of the largest square that we can cut from the paper, we need to investigate if there's any square number is the factor of 9152
We can use the prime factor tree to find the factors of 9152 that is also a square number as shown below
9152 = 2 × 2 × 2 × 2 × 2 × 2 × 11 × 13
after trying few combinations, we have:
2 × 2 × 2 × 2 = 16
2 × 2 × 2 × 2 × 2 × 2 = 64
The largest square number is 64, and we will have 9152 ÷ 64 = 143 squares of papers
Since we want to find the number of the largest square that we can cut from the paper, we need to investigate if there's any square number is the factor of 9152
We can use the prime factor tree to find the factors of 9152 that is also a square number as shown below
9152 = 2 × 2 × 2 × 2 × 2 × 2 × 11 × 13
after trying few combinations, we have:
2 × 2 × 2 × 2 = 16
2 × 2 × 2 × 2 × 2 × 2 = 64
The largest square number is 64, and we will have 9152 ÷ 64 = 143 squares of papers