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404 LearnersLast updated on December 11, 2025
Factors of 73
What are the factors of 73?
Factors are the numbers that help us divide things equally without any leftovers. 73 is a prime number as it has only two factors, i.e., 1 and 73. Let’s learn about the Factors of 73.
How to Find the Factors of 73
Factors help us divide numbers equally, making calculations faster and easier. We can find factors from the following methods:
Finding Factors Using Multiplication
In this method, we find pairs of numbers, which we multiply to get the desired number.
Example: 1×73=73, which means that 1 and 73 are the factors of 73.
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Finding Factors by Division Method
We divide 73 by numbers starting from 1 and see which number gives the remainder of 0.
73 ÷ 1=73
73 ÷ 73=1
So the factors are 1 and 73.
Prime Factors and Prime Factorization
The breaking down of numbers as prime factors is called prime factorization. The factors of 73 are:
73=1x73
Factor tree
A factor tree shows how a number can be parted down into prime factors.73 is a prime number, so it has only one number, which is 73.
Factor Pairs
Positive and negative pairs:
A factor includes both positive numbers and negative numbers, Given below are the factors of 73:
Positive :(1,73)
Negative:(-1,-73)
Common Mistakes and How to Avoid Them in Factors of 73
While learning about factors 73, students may likely make mistakes, to avoid them a few mistakes with solutions are given below:
Mistake 1
Improper calculation in division
Children may get confused while performing divisions in the carry forward of numbers, which may lead to improper results. To avoid this, students should practice division to be better at the calculations.
Mistake 2
Forgetting the rules of divisibility
Students forget to apply the rules of divisibility, which may lead to improper results. To avoid this, they should practice the basic rules of divisibility.
Mistake 3
Thinking factors include decimal numbers.
Students list numbers like 3.5 or 79.5 as factors because they sometimes divide the number partially. Factors should always be whole numbers, for 158 factors are 1,2,79, and 158 are all integers.
factors of 73 Examples
Problem 1
If x+1=73, find x.
x+1=73
Step 1: Subtract 1 from both sides to solve for x:
x=73−1
x=72
By isolating x, we find that x=72.
Explanation
The value of x is 72.
Problem 2
Find the LCM of 73 and 2.
Step 1: Check if there are any common factors between 73 and 2.
Since 73 is a prime number and does not share any factors with 2, the LCM is the product of the two numbers.
Step 2: Calculate the LCM:
LCM(73,2)=73×2
LCM=146
Explanation
The LCM of 73 and 2 is 146 because 73 is prime and does not share any factors with 2, so their LCM is simply their product.
Problem 3
Solve the system: x+y=74 x−y=72
Add both equations:
2x=146
x=73
Subtract the second equation from the first:
2y=2
y=1
So, the solution is x=73, y=1.
Explanation
By adding and subtracting the given equations, we find the value of x and y, and we get, x=73 and y=1.
FAQs on Factors of 73
1.Is 73 a factor of 9?
2.What is the twin prime of 73?
3.Is 73 a perfect number?
4.What number is 73 divisible by?
5.Is 73 divisible by 8?
Important Glossaries for Factors of 73
- Prime Factorization: It is a process of splitting down a number into its factors. For example: 6= 3x 2.
- Divisibility: A number is said to be divisible by a certain number, when we divide a number it should give a whole number and not a decimal.
- Even number: A number that when divided by 2 gives a whole number.
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