Factors are numbers that can be multiplied together to obtain a given number. In this blog, we will explore the factors of 162 and discuss various aspects related to them.
The factors of 162 are: 1, 2, 3, 6, 9, 18, 27, 54, 81, and 162.
To find the factors of 162, we can follow these steps:
Determine the criteria for judging whether a number is a factor. A number is a factor of 162 if it divides 162 without leaving a remainder.
List all the numbers starting from 1 and going up to the given number, which is 162 in this case.
Use each number as a divisor and verify whether it is a factor by dividing 162 by the number. If the division is exact, without any remainder, then the number is a factor.
Finally, collect all the numbers that are factors of 162.
Let's now provide a concise step-by-step solution using math expressions.
The criteria for judging whether a number is a factor of 162 is that it should divide 162 without leaving a remainder.
List all the numbers from 1 to 162: 1, 2, 3, 4, 5, ..., 160, 161, 162.
Use each number as a divisor and verify whether it is a factor by performing the division:
Collect all the numbers that are factors of 162: 1, 2, 3, 6, 9, 18, 27, 54, 81, and 162.
The pair factors of 162 are the pairs of numbers that multiply together to give 162. For example, the pair factors of 162 are (1, 162), (2, 81), (3, 54), (6, 27), (9, 18), and (18, 9).
The negative pair factors of 162 are the pairs of numbers, one positive and one negative, that multiply together to give 162. For example, the negative pair factors of 162 are (-1, -162), (-2, -81), (-3, -54), (-6, -27), (-9, -18), and (-18, -9).
Prime factorisation is the process of expressing a number as a product of its prime factors. The prime factors of 162 are the prime numbers that divide 162 without leaving a remainder.
The prime factorisation of 162 is 2 × 3^4, where 2 is a prime number and 3 is also a prime number. This can be written as 2 × 3 × 3 × 3 × 3.
Example: Find the factors of 162.
Solution: The factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, and 162.
Example: Determine the pair factors of 162.
Solution: The pair factors of 162 are (1, 162), (2, 81), (3, 54), (6, 27), (9, 18), and (18, 9).
Example: Calculate the prime factorisation of 162.
Solution: The prime factorisation of 162 is 2 × 3^4.
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 writing the numbers next to each other. For example, the factors of 162 can be represented as 1 × 2 × 3 × 6 × 9 × 18 × 27 × 54 × 81 × 162 or simply as 1, 2, 3, 6, 9, 18, 27, 54, 81, and 162.
There are different types of factors, including prime factors, composite factors, and negative factors.
Question: Factors of 162? The factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, and 162.