The missing values in each of the given prime factorization are :
1.) 80 = __ × 2 × 2 × 2 × 5
- Let missing number = p
- 80 = p × 40
- p = 80 ÷ 40
- p = 2
2.) 198 = 2 × 3 × __ × 11
- Let missing value = p
- 198 = 66 × p
- p = 198 ÷ 66
- p = 3
3.) 1750 = 2 × 5³ × __
- Let missing value = p
- 1750 = 125 × 2 × p
- p = 1750 ÷ 250
- p = 7
4.) 665 = __ × 7 × 19
- Let missing value = p
- 665 = 133p
- p = 665 ÷ 133
- p = 5
5.) 4968 = 2³ × 3³ × __
- Let missing value = p
- 4968 = 8 × 27 × p
- 4968 = 216 × p
- p = 4968 ÷ 216 = 23
6.) 297 = __³ ×11
- Let missing value = p
- 297 ÷ 11 = p³
- 27 = p³
- Take the cube root of 27
- p = 3
7.) 2639 = 7 × __ × 29
- Let missing value = p
- 2639 = 203 × p
- p = 2639 ÷ 203 = 13
8.) 1331 = 11^p
- Let missing value = p
- 11 × 11 × 11 = 1331
- 11³ = 1331
- p = 3
Therefore, the value of p represents the missing value in the prime factorization given.
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