192 LearnersLast updated on May 26th, 2025
Factors of 195
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.
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.
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:
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.
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.
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
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.
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)
Common Mistakes and How to Avoid Them in Factors of 195
While learning about factors of 195, 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.
factors of 195 Examples
Problem 1
Determine if 195 is a composite number.
Step 1: Identify the factors of 195.
Step 2: 195 has factors other than 1 and itself (for example, 3 and 65), it is a composite number.
Explanation
A composite number has more than two factors. Since 195 has multiple divisors apart from 1 and 195 (like 3,5, and 13), it is a composite number.
Problem 2
Find all the positive factors of 195.
Step 1: Start with the number 1 and go up to 195.
Step 2: Check each number to see if it divides evenly into 195.
Step 3: The factors of 195 are: 1, 3, 5, 13, 15, 39, 65, and 195.
Explanation
The positive factors of a number are all numbers that divide it evenly. Using the prime factorization, we find that 1,3,5,13,15,39,65, and 195 are factors of 195.
Problem 3
Calculate the sum of all positive factors of 195.
Step 1: List the factors: 1, 3, 5, 13, 15, 39, 65, 195.
Step 2: Add them together:
1+3+5+13+15+39+65+195=336
Step 3: The sum of all positive factors is 336.
Explanation
The sum of all positive factors is calculated by simply adding each factor. Hence, the sum of 1,3,5,13,15,39,65, and 195 is 336.
FAQs on Factors of 195
1.What is the negative pair of 195?
2.Is 65 divisible by 5?
3.What is the common factor of 65 and 195?
4.What number is 195 to be divided by?
5.Is 195 a natural number?
6.How can children in Qatar use numbers in everyday life to understand Factors of 195?
7.What are some fun ways kids in Qatar can practice Factors of 195 with numbers?
8.What role do numbers and Factors of 195 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 195 skills?
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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