Factors are numbers that can be multiplied together to get a given number. In this blog, we will explore the factors of 128 and discuss various aspects related to them.
The factors of 128 are: 1, 2, 4, 8, 16, 32, 64, and 128.
To find the factors of 128, we can follow these steps:
Determine the criteria for judging whether a number is a factor. In this case, a number is a factor of 128 if it divides 128 without leaving a remainder.
List all the numbers starting from 1 up to the given number, which is 128 in this case.
Use each number as a divisor and verify whether it is a factor by dividing 128 by that number. If the division is exact, i.e., there is no remainder, then the number is a factor.
Finally, collect all the numbers that are factors of 128.
Let's now go through a step-by-step solution to find the factors of 128.
We start by listing all the numbers from 1 to 128.
Using each number as a divisor, we divide 128 by that number and check if the division is exact.
The numbers that divide 128 without leaving a remainder are the factors of 128.
Collecting all the factors, we get: 1, 2, 4, 8, 16, 32, 64, and 128.
The pair factors of 128 are the pairs of numbers that multiply together to give 128. For example, (1, 128), (2, 64), (4, 32), and (8, 16) are the pair factors of 128.
The negative pair factors of 128 are the pairs of numbers, one positive and one negative, that multiply together to give 128. For example, (-1, -128), (-2, -64), (-4, -32), and (-8, -16) are the negative pair factors of 128.
Prime factorisation is the process of expressing a number as a product of its prime factors. To find the prime factorisation of 128, we divide it by prime numbers until we can no longer divide.
The prime factorisation of 128 is 2^7, where "^" represents exponentiation. This means that 128 can be expressed as the product of 2 raised to the power of 7.
Example: Find the factors of 128.
Solution: The factors of 128 are 1, 2, 4, 8, 16, 32, 64, and 128.
Example: Determine the pair factors of 128.
Solution: The pair factors of 128 are (1, 128), (2, 64), (4, 32), and (8, 16).
Example: What are the negative pair factors of 128?
Solution: The negative pair factors of 128 are (-1, -128), (-2, -64), (-4, -32), and (-8, -16).
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 128 can be represented as 1 × 128, 2 × 64, 4 × 32, and so on.
There are two types of factors: prime factors and composite factors. Prime factors are numbers that are only divisible by 1 and themselves, while composite factors are numbers that have more than two factors.
Question: Factors of 128?
The factors of 128 are 1, 2, 4, 8, 16, 32, 64, and 128.
In conclusion, the factors of 128 are the numbers that divide 128 without leaving a remainder. They play a significant role in various mathematical concepts and calculations.