To determine how many factors of a number are divisible by 5, we need to first understand what factors are, and then specifically identify which of those factors are multiples of 5.
Understanding Factors
A factor of a number is a whole number that divides into that number exactly, with no remainder. For example, the factors of 10 are 1, 2, 5, and 10 because each of these numbers divides into 10 evenly.
According to the provided reference, the factors of 5 are 1 and 5. This tells us that only 1 and 5 can divide the number 5 perfectly with a zero remainder. Therefore, 5 has a total of 2 factors.
Finding Factors Divisible by 5
To know how many factors of any number are divisible by 5, we can follow these steps:
- List All Factors: First, identify all the factors of the number you are working with.
- Check for Divisibility by 5: Then, go through each factor and see if it is divisible by 5. A factor is divisible by 5 if it produces a whole number when divided by 5.
- Count the Divisible Factors: Finally, count how many of the factors are divisible by 5.
Example
Let's take the number 50 as an example:
- List All Factors: The factors of 50 are 1, 2, 5, 10, 25, and 50.
- Check for Divisibility by 5:
- 1 ÷ 5 = 0.2 (Not divisible)
- 2 ÷ 5 = 0.4 (Not divisible)
- 5 ÷ 5 = 1 (Divisible)
- 10 ÷ 5 = 2 (Divisible)
- 25 ÷ 5 = 5 (Divisible)
- 50 ÷ 5 = 10 (Divisible)
- Count the Divisible Factors: In this case, the factors of 50 that are divisible by 5 are 5, 10, 25, and 50. Therefore, there are 4 factors of 50 that are divisible by 5.
Key Takeaway
To determine how many factors of any number are divisible by 5, list all the factors of the number and then specifically find out which ones can be divided by 5 without leaving any remainder.
