232 LearnersLast updated on May 26th, 2025
Factors of 264
What's your say about the factors of 264? Factors are essentially numbers that can be multiplied together to give an original number. In other words, finding those perfect pairs that go into making 264 without leaving a remainder.
What are the factors of 264?
Similarly, as we learned above, factors of 264 are such numbers that will be multiplied to get 264. There are both positive and negative factors of numbers that we will learn as we move ahead in the topic.
264 has only sixteen factors: 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, and 264.
Negative factors of 264: Negative factors are nothing but the negative counterparts of the position factors of a number.
Since 264 has sixteen positive factors: 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, and 264., it will also have sixteen negative counterparts: -1, -2, -3, -4, -6, -8, -11, -12, -22, -24, -33, -44, -66, -88, -132, and -264
Prime factors of 264: Since 264 is a composite number, it has 2, 3, and 11 as its prime factor.
Prime factorization of 264: Prime factorization of a number is the method of expressing 264 as a product of prime factors.
The prime factorization of 264 = 23 × 3× 11
How to find the factors of 264
There are several ways of finding factors of 264. 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 264 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 264.
Step 2: After finding such pairs, list them all one by one.
Here, factor pairs of 264 are (1, 264), (2, 123), (3, 82), (6, 41).
So the factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, and 264.
Finding factors by division method
In the method, we need to find such numbers that divide 264 completely without leaving any remainder.
264/1 = 264
264/ 2 = 132
264/ 3 = 88
264/ 4 = 66
264/ 6 = 44
264/ 8 = 33
264/ 11 = 24
264/ 12 = 22
264/ 22 = 12
264/ 24 = 11
264/ 33 = 8
264/ 44 = 6
264/ 66= 4
264/ 88= 3
264 / 132= 2
264/ 264 = 1
All the 16 numbers: 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, and 264, mentioned above divide 264 completely without any remainder. Hence, they are factors of 264.
Prime Factors and Prime Factorization
In the prime factorization method, a number is expressed as the product of prime factors.
Here, as we know, 264 = 23 × 3 × 11
2, 3, and 11 are the prime factors when multiplied together will give 264 as a product of the multiplication.
Factor tree
A 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 264 are (1, 264), (2, 123), (3, 82), (6, 41).
Positive Pair Factors of 264 are (1, 264), (2, 123), (3, 82), (6, 41)
Negative Pair Factors of 264 are (-1, -264), (-2, -123), (-3, -82), (-6, -41)
Common Mistakes and How to Avoid Them in Factors Of 264
There are some errors that a child is bound to commit while discovering the factors of 264. 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 264 examples
Problem 1
What is a quarter of 264?
57 is the quarter of 264.
Explanation
a quarter of 264 means one-fourth of 264, which is 57.
Problem 2
How can we know whether 264 is divisible by 11 or not?
264 is divisible by 11.
Explanation
To know whether a number is divisible by 11 or not, add 2 and 4, then subtract 6 from it. The answer we get is 0, hence 264 is divisible by 11.
Problem 3
Find the multiplication of factor pairs whose difference would give 0 as difference.
The product of any factor pair of a number when subtracted from another factor pair of the same number would give out 0.
Explanation
To know that, take products of any two-factor pairs and subtract them to get zero as the difference.
Problem 4
Calculate the number of multiples of 8 between 1 and 100.
There are a total of twelve multiples of 8 between 1 and 100.
Explanation
The multiples of 8 are 8, 16, 24, and 32….... Similarly, we can calculate manually the number of multiples of 8 between 1 and 100.
Problem 5
How many multiples of 8 are there between 100 and 500?
50 multiples of 8 are there between 100 and 500.
Explanation
To calculate the number of multiples, subtract 100 from 500 and divide the difference by 8 to get 50 multiples as the answer.
FAQs on factors of 264
1.What is the square of 264?
2.Can 97 be divided by anything?
3.What is the lowest and the smallest common factor of any number?
4. Is 1 a divisor of 27?
5. How many occurrences are there of 8 between 1 and 100?
Important Glossaries for Factors of 264
- 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.
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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.
