Factors of 81

Introduction

A factor of a number is an integer that divides the number without leaving any remainder. In simpler terms, if you divide a number by one of its factors, the result will be a whole number. For example, the factors of 81 are the numbers that can multiply together to give 81. Factors are useful in various mathematical operations like finding the greatest common divisor (GCD) or the least common multiple (LCM) of two numbers.

What are the Factors of 81?

The factors of 81 are the numbers you can multiply to get 81. These numbers also divide 81 evenly without leaving a remainder. The factors of 81 are: 1, 3, 9, 27, and 81. Understanding the factors of a number can help in solving problems related to division, multiplication, and fractions.

Also Check: Cubes from 1 to 50

How to Calculate the Factors of 81

To find the factors of 81, follow these steps:

  1. Divide 81 by 1: 81÷1=81. So, 1 is a factor.
  2. Divide 81 by 2: 81÷2=40.5 Since this is not a whole number, 2 is not a factor.
  3. Divide 81 by 3: 81÷3=27 So, 3 is a factor.
  4. Continue this process for each number up to 81.
  5. The factors of 81 are: 1, 3, 9, 27, and 81.

Here’s a quick reference table:

Divisor Result Is Factor?
1 81 Yes
2 40.5 No
3 27 Yes
9 9 Yes
27 3 Yes
81 1 Yes

Also Check: Discontinuity

Prime Factorization of 81

Prime factorization involves breaking down a number into its prime factors. For 81, the steps are:

  1. Divide 81 by 3: 81÷3=27
  2. Divide 27 by 3: 27÷3=9
  3. Divide 9 by 3: 9÷3=3
  4. Divide 3 by 3: 3÷3=1

So, the prime factorization of 81 is 3×3×3×3 or 34

Also Check: Differential Equations

Factor Pairs of 81

Factor pairs are two numbers that, when multiplied together, give the original number. For 81, the factor pairs are:

  • (1, 81)
  • (3, 27)
  • (9, 9)

These pairs show that multiplying these numbers gives you 81.

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Cumulative Frequency Curved Line
Cylinder Determinant of a Matrix

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Frequently Asked Questions on Factors of 81

Yes, 81 is a perfect square. A perfect square is a number that can be expressed as the square of an integer.

The number 81 has five factors.

A perfect square is a number that results from multiplying an integer by itself. For instance, 9 is a perfect square because it equals 3 squared (3 x 3).

The prime factorization of 81 is 343^434. This represents the simplest form of its factors.