182 LearnersLast updated on May 26th, 2025
Factors of 134
What do you say about the factors of 134? Factors are essentially the numbers that can be multiplied together to give an original number. In other words, finding those perfect pairs that go into making 134 without leaving remainders.
What are the factors of 134?
Similarly, as we learned above, factors of 134 are such numbers that will be multiplied to get 134. There are both positive and negative factors of numbers that we will learn as we move ahead in the topic.
134 has only four factors: 1, 2, 67, and 134.
Negative factors of 134: Negative factors are nothing but the negative counterparts of the position factors of a number.
Since 134 has 4 positive factors: 1, 2, 67, and 134, it will also have four negative counterparts, which are -1, -2, -67, and -134.
Prime factors of 134: Since 134 is a composite number, it has 2 and 67 as its prime factor.
Prime factorization of 134: Prime factorization of a number is the method of expressing 134 as a product of prime factors.
The prime factorization of 134 = 21 × 671
How to find the factors of 134
There are several ways of finding factors of 134. We will learn about them one by one as we go on.
Finding factors using multiplication
In this method, we will try to find such a pair of numbers that will give 134 as their product. We recommend that you should follow the following steps to find factors using multiplication.
Step 1: Always look for a pair of numbers whose product is 134.
Step 2: After finding such pairs, list them all one by one.
Here, factor pairs of 134 are (1, 134), (2, 67)
So the factors of 134 are 1, 2, 67, and 134.
Finding factors by division method
In the method, we need to find such numbers that divide 134 completely without leaving any remainder.
134/1 = 134
134/ 2 = 512
134/ 67 = 2
134/ 134 = 1
All the 4 numbers: 1, 2, 67, and 134 mentioned above divide 134 completely without any remainder. Hence, they are factors of 134.
Prime Factors and Prime Factorization
In the prime factorization method, a number is expressed as the product of prime factors.
The product of prime factors will give the original number.
Here, as we know, 134 = 2 × 67
2 and 67 are the prime factors when multiplied together will give 134 as a product of the multiplication.
Factor tree
Factor tree is a graphical representation of factors of any number.. In the diagram, each branch represents the prime factors a number has.
Factor Pairs
The factor pairs of a number refer to a pair of numbers which, when multiplied, will give the number as a product.
The factor pairs of 134 are
Positive Pair Factors of 134 are (1, 134), (2, 512), (4, 256), (8, 128), (16, 64), (32, 32)
Negative Pair Factors of 134 are (-1, -134), (-2, -512), (-4, -256), (-8, -128), (-16, -64), (-32, -32)
Common Mistakes and How to Avoid Them in Factors Of 134
There are some errors which a child is bound to commit while discovering the factors of 134. Let us know what error a child is likely to commit.
Mistake 1
A child might consider only the prime factors and leave other factors.
A child must know that a number has both prime and composite factors.
Factors of 134 examples
Problem 1
Can you prove that 16 is also a factor of 134 by using the divisibility rule of 2 ?
Yes, we can prove 16 is a factor of 134.
Explanation
We have studied that 134 = 2^10 and 16 = 2^4. Since, 2^10 also contains 2^4 in it, 2^4 is a factor of 2^10 or 16 is a factor of 134
Problem 2
If you have 134 chocolates, and you have 32 friends to distribute among , how many shall each one get ?
Each friend shall get 32 chocolates.
Explanation
Divide 134 by 32 to get 32. The result 32 are chocolates that each one shall get.
Problem 3
How many factors of 134 are also the factors of 2048?
All the factors of 134 are the factors of 2048.
Explanation
We know that 134 is 2^10 and 2048 is 2^11. Since 2^10 lies inside 2^11, all the factors of 2^10 (134) are factors of 2^11 (2048).
Problem 4
Is there any remainder that gets left behind when 134 is divided by 8 ?
No, no remainder is left behind when 0124 is divided by 8.
Explanation
Divide 134 by 8 to get a whole number of 128. Since we are getting a whole number as a quotient that means there is no remainder that is getting left behind.
Problem 5
If you have 134 square stickers, then how can you arrange them to fill up a square wall such that each side of the wall has an equal number of stickers ?
Each side should have 32 stickers to fill up the entire square wall.
Explanation
The square wall shall have equal stickers on each side in order for it to be filled up completely. So to determine how many stickers shall there be on each side, you need to find the square root of 134, i.e., 32. So, we can arrange the stickers into 32×32 square format.
FAQs on Factors of 134
1.Why does 134 hold special importance in computer applications?
2.What is the sum of all the 11 factors of 134?
3. Is 134 a perfect square or a perfect cube?
4.How many bytes make a kilobyte?
5.What is the smallest composite number of 134?
Important Glossaries for Factors of 134
- Prime Numbers: Those numbers which have no other factors other than 1 & the number itself.
- Composite Numbers: Those numbers that have more than 2 factors.
- Negative Factors: These are the counterparts of the positive factors of a number.
- Prime Factorization: Process of breaking down a composite number into products of several of its prime factors.
Explore More numbers
Previous to Factors of 134
Next to Factors of 134
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.
