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Last updated on December 1st, 2024

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Factors of 73

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Foundation
Intermediate
Advance Topics

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.

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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.
 

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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:
 

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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.
 

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Prime Factors and Prime Factorization

The breaking down of numbers as prime factors is called prime factorization. The factors of 73 are:


73=1x73
 

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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.
 

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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)
 

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Common Mistakes and How to Avoid Them in Factors of 73

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factors of 73 Examples

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Problem 1

If x+1=73, find x.

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Explanation

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Problem 2

Find the LCM of 73 and 2.

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Explanation

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Problem 3

Solve the system: x+y=74 x−y=72

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Explanation

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FAQs on Factors of 73

1.Is 73 a factor of 9?

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2.What is the twin prime of 73?

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3.Is 73 a perfect number?

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4.What number is 73 divisible by?

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5.Is 73 divisible by 8?

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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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