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 the number 4 and understand their properties.
The factors of 4 are 1, 2, and 4.
To find the factors of 4, we can follow these steps:
Determine the criteria for judging whether a number is a factor. In this case, any number that divides 4 without leaving a remainder is a factor.
List all the numbers that we will test as potential factors. In this case, we will consider all the positive integers up to 4.
Use each number as a divisor and verify whether it is a factor. We can do this by dividing 4 by the number and checking if the remainder is 0. For example, when we divide 4 by 2, the remainder is 0, so 2 is a factor of 4.
Finally, we obtain the factors of 4 by listing all the numbers that divide 4 without leaving a remainder. In this case, the factors of 4 are 1, 2, and 4.
The pair factors of 4 are the pairs of numbers that multiply together to give 4. In this case, the pair factors of 4 are (1, 4) and (2, 2).
The negative pair factors of 4 are the pairs of numbers, one positive and one negative, that multiply together to give 4. In this case, the negative pair factors of 4 are (-1, -4) and (-2, -2).
Prime factorisation refers to expressing a number as a product of its prime factors. Since 4 is not a prime number, its prime factorisation is obtained by breaking it down into its prime factors. The prime factorisation of 4 is 2^2, where 2 is the only prime factor of 4.
Example: Find the factors of 4.
Solution: The factors of 4 are 1, 2, and 4.
Example: Determine the pair factors of 4.
Solution: The pair factors of 4 are (1, 4) and (2, 2).
Example: What is the prime factorisation of 4?
Solution: The prime factorisation of 4 is 2^2.
In mathematics, factors are numbers that divide a given number without leaving a remainder. They play a crucial role in various mathematical concepts, such as prime factorisation, finding common factors, and solving equations.
In mathematics, factors are often represented using the multiplication symbol (×) or by placing the numbers next to each other. For example, the factors of 4 can be represented as 1 × 4 × 2 or simply as 1, 4, 2.
There are two types of factors: prime factors and composite factors. Prime factors are the factors that are prime numbers, while composite factors are the factors that are composite numbers. In the case of 4, its factors are both prime and composite, as it is a composite number itself.
Question: Factors of 4?
The factors of 4 are 1, 2, and 4.