Table Of Contents
Last updated on September 27th, 2024
Factors are those numbers whose dividend is divisible by quotient completely. Hence, the factors of 18 are whole numbers that divide 18 equally.
The numbers that can be multiplied together in pairs to give the product 18 are its factors. The factors of 18 are 1, 2, 3, 6, 9, 18. Number 18 has 6 factors in total.
Negative Factors: These are negative counterparts of the positive factors of 18
Negative factors: -1, -2, -3, -6, -9, -18
Prime Factors: These are the prime numbers when multiplied together give the product 18.
Prime Factors: 2, 3
Prime Factorization: Prime factorization involves breaking the number into its prime factors
It is expressed as 2 x 3^{2}
sum of the factors:The sum refers to the number we get by adding the factors of the given number.
Sum = add all the factors of 18
Sum = 1+2+3+6+9+18 = 39
Table listing the factors of 18
Positive Factors |
1, 2, 3, 6, 9, 18 |
Negative Factors |
-1, -2, -3, -6, -9, -18 |
Prime Factors |
2, 3 |
Prime Factorization |
2 × 3^{2} |
The sum of the Factors |
39 |
The factors can be found using different methods. These make sure that the factors obtained are correct.
Method to find the factors of 18:
The multiplication method finds the pair of factors that give 18 as their product. Here is the step-by-step process:
Step 1: Find the pair of numbers whose product is 18.
Step 2: The factors are those numbers, when multiplied, give 18.
Step 3: Make a list showing the multiplication process.
1 × 18= 18
2 × 9 = 18
3 × 6 = 18
So the factors of 18 are 1, 2, 3, 6, 9, 18.
The division method finds the numbers that fully divide the given number.
Step-by-step process in division method:
Step 1: Since every number is divisible by 1, always start your division with 1. Both 1 and the number will always be its factors. Example: 18÷1 = 18
Step 2: Take the next number and see if the number is divided completely. Both divisor and quotient are the factors.
Example: 18÷2 = 9, 18÷3 = 6, and so on. Here, 2 and 3 are the divisors and, 9 and 6 are the quotient.
Step 3: Stop dividing once you divide 18 by 18 giving 1 as the factor. We cannot divide 18 with numbers greater than 18.
Overview of factors of 18 using the division method:
Multiplying prime numbers to get the given number as their product is called prime factors. Prime factorization is the process of breaking down the number into its prime factors.
Prime Factors of 18
Number 18 has only two prime factors
The prime factors of 18 are 2 and 3.
Steps to find the prime factors of 18:
Step 1: Divide 18 with the smallest prime number 2
18÷2 = 9
Step 2: Take the next prime number, which is 3
9÷3 = 3
3÷3 = 1
Step 3:Prime Factorization of 18.
Prime Factorization breaks down the prime factors of 18
The Prime Factorization of 18 is expressed as 2 x 3^{2}
Factor tree visually represents the prime factorization. It helps to understand the process easily.
The prime factors of 18 can be found using the factor tree
Step 1: Split 18 into two factors, 2 and 9
Step 2: Split 9 into factors, 3 and 3
Step 3: Split 3 into two factors, 1 and 1.
Factor Pairs:
Factors of 18 can be written in both positive pairs and negative pairs.
Positive Factor Pairs: (1,18), (2,9), (3,6)
Negative Factor Pairs: (-1,-18), (-2,-9), (-3,-6)
Factor pairs are like team members. The product of the factor pairs will be equal to the number given.
Table showing the positive and negative pairs
Factors: Factors are those numbers that divide the given number without leaving no remainder.
Prime Factorization: The prime factorization of numbers involves breaking them down into their prime factors.
Prime factors: These are the prime numbers that multiply together to form a given number
Composite number: Number that has at least more than one divisor other than 1 and the number itself.
Greatest Common Factor: The largest integer that divides two or more integers without any remainder.