Last updated on May 26th, 2025
Factors are the numbers that divide another number equally, without leaving any remainder. When you multiply two numbers to find another number, the two which are multiplied are factors. You can think of factors as the building blocks that will help you make numbers.
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.
Factors help us divide numbers equally, making calculations faster and easier. We can find factors from the following methods:
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.
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.
The breaking down of numbers as prime factors is called prime factorization. The factors of 73 are:
73=1x73
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.
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)
While learning about factors 73, students may likely make mistakes, to avoid them a few mistakes with solutions are given below:
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.
The value of x is 72.
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
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.
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.
By adding and subtracting the given equations, we find the value of x and y, and we get, x=73 and y=1.