What is the factor of 95?
Understand the Problem
The question is asking for the factors of the number 95, which means we need to identify all the whole numbers that can be multiplied together to produce 95.
Answer
1, 5, 19, 95
Answer for screen readers
The factors of 95 are 1, 5, 19, and 95.
Steps to Solve
-
Identify possible factors To find the factors of 95, we start by looking for whole numbers that divide evenly into 95. We can check numbers starting from 1 up to the square root of 95. The square root of 95 is approximately 9.74, so we will check the whole numbers up to 9.
-
Check divisibility We'll test each number from 1 to 9 to determine if it is a factor of 95 by checking the remainder when 95 is divided by that number.
- For 1: $95 \div 1 = 95$ (Factor)
- For 2: $95 \div 2 = 47.5$ (Not a factor)
- For 3: $95 \div 3 \approx 31.67$ (Not a factor)
- For 4: $95 \div 4 = 23.75$ (Not a factor)
- For 5: $95 \div 5 = 19$ (Factor)
- For 6: $95 \div 6 \approx 15.83$ (Not a factor)
- For 7: $95 \div 7 \approx 13.57$ (Not a factor)
- For 8: $95 \div 8 \approx 11.88$ (Not a factor)
- For 9: $95 \div 9 \approx 10.56$ (Not a factor)
-
List the factors From our checks, we find that the numbers 1 and 5 divide 95 evenly, which means they are factors.
-
Include their pairs For each factor found, we can also include its pair by dividing 95 by that factor. We already found:
- $1 \times 95 = 95$
- $5 \times 19 = 95$
Thus, the complete list of factors of 95 is: 1, 5, 19, and 95.
The factors of 95 are 1, 5, 19, and 95.
More Information
Factors are the whole numbers that can be multiplied together to produce another number. The number 95 can be expressed as a product of its prime factors, which are 5 and 19, meaning 95 is not a prime number but a composite number.
Tips
- Forgetting to include the number itself: Always remember to include the number in the list of its factors. Here, 95 is included since $95 \div 95 = 1$.
- Not checking all numbers up to the square root: Sometimes, it is assumed that we need to check all numbers up to 95, while it is only necessary to check up to the square root of that number.
AI-generated content may contain errors. Please verify critical information
