Do you need to find the factors of 162? In this article, we will describe the steps behind finding the factors of 162 and list the factor pairs of 162. Hopefully, at the end of this explanation, you’ll understand the core concepts of finding factors of not just number 162 but every other number. Let’s dive in.
What are the factors?
When we talk about the factors of 162 or any other number, what do we mean? A factor is a number that divides another number completely with no remainder. In other words, if multiplying two or more whole numbers gives us a product, then the numbers we multiply are the factors of that product. This is because these numbers are divisible by the product.
Factors of a number tend to be finite. This means that a number has a fixed number of factors. The factors of a number are always less than or equal to the given number. Except for 0 and 1, every number has at least 2 factors including 1 and the number itself. In the case of number 162, factors of 162 are all positive and negative integers that can be evenly divided into 162.
To find the factor 162, we need to check what numbers completely divide 162. We start checking from 1 and go on till 162 to check which numbers result in no remainder or an even quotient. There are multiple online tools that can calculate the factors of a number in a matter of seconds. Here let us take a look at the factors of 162-
• 162 ÷ 1 = 162
• 162 ÷ 2 = 81
• 162 ÷ 3 = 54
• 162 ÷ 6 = 27
• 162 ÷ 9 = 18
• 162 ÷ 18 = 9
• 162 ÷ 27 = 6
• 162 ÷ 54 = 3
• 162 ÷ 81 = 2
• 162 ÷ 162 = 1
We can see that all of these factors can divide the number 162 with no remainder. The list of positive factors for 162 are- 1, 2, 3, 6, 9, 18, 27, 54, 81, and 162,
Negative Factors of 162
Most numbers have negative factors. Usually, we can just flip the positive numbers into negatives and those negative numbers would also be factors of 162= -1, -2, -3, -6, -9, -18, -27, -54, -81, and -162,
There are a total of positive factors and negative factors of the number 162. Therefore, in total, there are factors.
A pair of factors is a combination of two factors that can be multiplied together to equal 162. Pair of positive factors of 162-
Pair of negative factors of 162 –
In the aforementioned section, we can observe that when we multiply two negative integers together, their product is a positive integer. In summation, this is a comprehensive guide to the factors 162. Hopefully, you were able to understand the concept of factorization and are comfortable with applying the concept to different numbers.
Calculate the factors and factor pairs of any number with this factor calculator.