What are the factors of 34?
Understand the Problem
The question is asking for all integers that can be multiplied together to get the number 34. This involves determining the factors of the number.
Answer
1, 2, 17, 34
Answer for screen readers
The factors of 34 are 1, 2, 17, and 34
Steps to Solve
- Define factors
Factors are integers that can be multiplied together to produce the given number. In this case, we need to find pairs of integers that multiply to 34.
- Identify factor pairs
Start by testing all pairs of integers, beginning from 1 through $ rac{34}{2}$. If the number divides evenly, both the divisor and quotient are factors.
$$ 34 \div 1 = 34 $$
So, 1 and 34 are factors.
$$ 34 \div 2 = 17 $$
So, 2 and 17 are factors.
- List all factors
For each successful division that produces an integer, list both the divisor and the quotient as factors. This ensures that we get all the factors.
The factors of 34 are: 1, 2, 17, and 34.
The factors of 34 are 1, 2, 17, and 34
More Information
34 is a composite number, and it has both prime and composite factors. Factors are useful in various applications such as simplifying fractions.
Tips
A common mistake is missing pairs of factors or assuming a number has fewer factors than it does. Always test integer divisors up to the square root of the number.
