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Last updated on November 28th, 2024

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Factors of 195

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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 195?

Factors are the numbers that help us divide things equally without any leftovers. The numbers 1, 3, 5, 15, 39, and 195 are the factors of 195. The number has both positive and negative integers that divide 195 without leaving any remainder. 

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How to find the factors of 195?

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 take two numbers and find the product of those two numbers to get the required number.

 

Example: 


3 × 65=195


1×195=195


This means that 1, 3, 5, 15, 39, and 195 are the factors of 195.
 

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Finding Factors by Division Method

We divide 195 by numbers starting from 1 and see which number gives the remainder of 0.


195  ÷1=195


195 ÷ 3=65


195  ÷5=39


195  ÷15=13


195  ÷39=5


195  ÷65=3


195  ÷195=1


1, 3, 5, 15, 39, and 195 are the factors of 195.

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Prime Factors and Prime Factorization

The breaking down of numbers as prime factors is called prime factorization. The factors of 195 are:


195=3 × 5 × 13
 

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Factor tree

A factor tree shows how a number can be parted down into prime factors.195 is broken down into two factors, 195 splits into 3 and 65


65 further splits into 5 and, 13


The prime factors are therefore: 3, 5, and 13.
 

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Factor Pairs

Positive and negative pairs:


The factors of a number will have both the positive and negative numbers:


Positive :( 1, 3, 5, 15, 39, and 195)


Negative:(-1,- 3,- 5,- 15, -39, and -195)
 

 

 

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Common Mistakes and How to Avoid Them in Factors of 195

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factors of 195 Examples

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Problem 1

Determine if 195 is a composite number.

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Explanation

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Problem 2

Find all the positive factors of 195.

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Explanation

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Problem 3

Calculate the sum of all positive factors of 195.

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Explanation

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FAQs on Factors of 195

1.What is the negative pair of 195?

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2.Is 65 divisible by 5?

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3.What is the common factor of 65 and 195?

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4.What number is 195 to be divided by?

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5.Is 195 a natural number?

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Important Glossaries for Factors of 195

  • Prime Factorization: It is a method of splitting down a number into its factors. For example: 195=3 × 5 × 13

 

  • 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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