227 LearnersLast updated on May 26th, 2025
Factors Of 136
In mathematics, there are lots of numbers that when divided by other numbers leave no remainder, these numbers are called factors. We use it in our vehicles mileage and money handling. Now, we’ll learn what factors are and factors of 136 let us now see.
Factors Of 136
We can tell if a number has more than 2 factors just by seeing if a number is a prime number or not. As none of the even numbers except 2 are prime numbers, we can tell that 136 has more than 2 factors. Let us find what the factors are.
Negative factors of 136: -1, -2, -4, -8, -17, -34, -68 and -136.
Prime factors of 136: The prime factors of 136 are 2 and 17.
Prime factorization of 136: 2×2×2×17
The sum of factors of 136: 1+2+4+8+17+34+68+136= 270
How to find the factors of 136
Children use multiple ways to find factors of a number. Let us look at some ways we can use to find the factors of 136
.
- Multiplication Method
- Division Method
- Prime Factor and Prime Factorization
Finding The Factors Of 136 Using Multiplication
In the multiplication method, we find pairs of numbers where the product will be 136. In this process, possible steps will be -
Step 1: Find all those numbers whose product will be 136.
Step 2: These numbers will be called the factors of 136.
Step 3: Students have to write these pairs of numbers for this method.
List of numbers whose product is 136
136 × 1= 136
68 × 2= 136
34×4= 136
17×8= 136
So the pair of numbers whose product is 136 are (1,136), (2,68), (4,34) and (8,17).
Finding Factors Using Division Method
For the division method, the process of division will go on until the remainder becomes zero.
Step 1: For the division method, always try the smallest number to start with. It is advisable to start dividing the number by 1, then both the number and 1 will be its factors. Example: 136÷1 = 136
Step 2: Then check with the next number to see whether the number is divided completely without any remainder. Both divisor and quotient are the factors. Example: 136÷2 = 68 and so on.
Prime Factorization And Prime Factors
Prime factorization is the process where the number will be a product of prime factors or prime numbers.
Prime Factors Of 136
The prime factors of 136 are 2 and 17. We find the prime factors of 136 by two ways.
By Prime Factorization: Here we will divide the numbers by the smallest prime number. Till we completely divide the given number. For 136, the steps are like this:
136/2= 68
68/2= 34
34/2= 17
17/17= 17
As 17 is a prime number, it is only divisible by 17. Hence, The prime factorization of the number 136 is 2×2×2×17.
Factor Tree
This is a very easy method because in many ways it’s almost the same as a prime factorization. We will break down huge numbers in this case to get what we call a factor tree.
- Step 1: 136 divided by 2 gives us the answer being 68.
- Step 2: 68 divided by 2 gives us 34.
- Step 3: Again, we break 34 into 2s, and we get 17 as our answer for 34.
- Step 4: This we can’t divide further into, since 17 is a prime number.
Factor Pairs For 136 :There are positive and negative factor pairs for a given number. Let us look at these factor pairs.
Positive Factor Pairs: (1,136), (2,68), (4,34) and (8,17).
Negative Factor Pairs: (-1,-136), (-2,-68), (-4,-34) and (-8,-17).
Common mistakes and how to avoid them in the factors of 136
It is very normal to make mistakes when learning to find the factors. Here are the commonly made mistakes by children. Avoid these when practicing!
Mistake 1
Assuming 136 is prime,
One may wrongly assume that the number 136 is prime and stop looking for factors.
Factors Of 136 Examples
Problem 1
A teacher divides 136 books among 8 students. How many books does each student get?
Answer: 136 ÷ 8 = 17.
Explanation
If you have 136 books and divide them equally among 8 students, each student will get 17 books. Simply, 136 ÷ 8 = 17 books each.
Problem 2
A box has 136 marbles. If marbles are packed in groups of 4, how many groups are there?
Answer: 136 ÷ 4 = 34
Explanation
If you divide 136 into groups of 4, you get 34 groups. This means 136 ÷ 4 = 34, with no leftovers.
Problem 3
If 136 is divided into two equal parts, what is each part?
Each part is 136 ÷ 2 = 68.
Explanation
When you divide 136 by 2, you get 68. This means if you split 136 into two equal parts, each part is 68.
Problem 4
What is the product of the smallest and largest factors of 136?
The smallest factor is 1 and the largest factor is 136. The product is 1 × 136 = 136.
Explanation
When you multiply the smallest factor (1) and the largest factor (136) of 136, you get 136. This is because 1 × 136 = 136.
Problem 5
A teacher wants to group 136 students into groups of 17. How many groups will there be?
Answer: 136 ÷ 17 = 8 groups.
Explanation
If there are 136 students, and they are divided into groups of 17 students each, there will be 8 groups in total.
FAQs For Factors Of 136
1.Is 136 a prime number?
2.What are the factors of 136?
3.Is 136 a perfect square?
4.Is 136 divisible by 8?
5.Find the square root of 136.
6.How can children in Qatar use numbers in everyday life to understand Factors Of 136?
7.What are some fun ways kids in Qatar can practice Factors Of 136 with numbers?
8.What role do numbers and Factors Of 136 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors Of 136 skills?
Important Glossaries for Factors of 136
- Factors: Divisible of a given number, without remainder. The factors of 136 would be 1,2, 4, 8, 17, 34, 68 and 136.
- Prime Factorization: A product of prime numbers written as a number — 136 is a prime factorization of 2×2×2×17.
- Square Root: It is an integer or a decimal, something which, multiplied by itself, gives you the original number. In this case, we can write that the square root of 136 is around 11.66.
- Prime Factors: Numbers which divide a given number exactly. Factors prime of 136 are: 2, 17.
Explore More numbers
Previous to Factors Of 136
About BrightChamps in Qatar
Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
