Factors of a number refer to the numbers that divide the given number without leaving a remainder. In this blog, we will explore the factors of 125 and understand their properties.
The factors of 125 are 1, 5, 25, and 125.
To find the factors of 125, we can follow these steps:
Determine the criteria for judging whether a number is a factor. In this case, any number that divides 125 without leaving a remainder is a factor.
List all the numbers that can potentially be factors. In this case, we can start with 1 and go up to the given number, which is 125.
Use each number as a divisor and verify whether it is a factor. We can do this by dividing 125 by each number and checking if the remainder is zero. For example, when we divide 125 by 5, we get 25 with no remainder, so 5 is a factor of 125.
Finally, collect all the numbers that are factors of 125. In this case, the factors are 1, 5, 25, and 125.
The pair factors of 125 are the pairs of numbers that multiply together to give 125. In this case, the pair factors are (1, 125) and (5, 25).
Negative pair factors are the pairs of numbers where one number is positive and the other is negative, and their product is equal to 125. In this case, there are no negative pair factors of 125.
Prime factorisation is the process of expressing a number as a product of its prime factors. To find the prime factorisation of 125, we can start by dividing it by the smallest prime number, which is 2. However, 125 is not divisible by 2. Next, we try dividing it by 3, but it is also not divisible. Finally, we divide it by 5, and we get 25. Dividing 25 by 5 again, we get 5. Therefore, the prime factorisation of 125 is 5 × 5 × 5, which can be written as 5^3.
Find the factors of 125.
Solution: The factors of 125 are 1, 5, 25, and 125.
Determine the pair factors of 125.
Solution: The pair factors of 125 are (1, 125) and (5, 25).
What is the prime factorisation of 125?
Solution: The prime factorisation of 125 is 5 × 5 × 5, which can be written as 5^3.
In mathematics, factors are numbers that divide another number without leaving a remainder. They play a crucial role in various mathematical concepts, such as prime numbers, prime factorisation, and finding common factors.
In mathematics, factors are often represented using the multiplication symbol (×) or by writing the numbers next to each other. For example, the factors of 125 can be represented as 1 × 5 × 5 × 5 or simply as 1, 5, 25, 125.
There are two types of factors: prime factors and composite factors. Prime factors are the factors that are prime numbers, meaning they have no divisors other than 1 and themselves. Composite factors, on the other hand, are numbers that have more than two factors.
Question: Factors of 125?
The factors of 125 are 1, 5, 25, and 125.