What are the factors of 57?
Understand the Problem
The question is asking for the factors of the number 57. To determine the factors, we need to identify all the integers that can evenly divide 57 without leaving a remainder.
Answer
1, 3, 19, 57
Answer for screen readers
The factors of 57 are 1, 3, 19, and 57
Steps to Solve
- Check divisibility by 1 and the number itself
Any number is always divisible by 1 and itself, so 57 is definitely divisible by 1 and 57.
- Check divisibility by 2, 3, 4, 5, and 6
Now, we need to check for other potential factors:
- 57 is not even, so it is not divisible by 2.
- Sum of the digits of 57 is $5 + 7 = 12$, which is divisible by 3, hence 57 is divisible by 3.
- 57 is not divisible by 4, as 57 is not even.
- 57 does not end in 0 or 5, so it is not divisible by 5.
- 57 is not divisible by 6, as it's neither even nor divisible by 3.
Since 57 is divisible by 3, let's divide:
$$ 57 \div 3 = 19 $$
- Verify the quotient is prime
19 is a prime number because its only divisors are 1 and 19.
- List all factors
The factors of 57 are: 1, 3, 19, and 57.
The factors of 57 are 1, 3, 19, and 57
More Information
Factors are numbers that can divide a given number without leaving a remainder. Prime factors are the prime numbers that multiply together to give the original number.
Tips
A common mistake is to misinterpret factors as multiples. Ensure you are looking for numbers that divide the original number without a remainder.
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