200 LearnersLast updated on May 26th, 2025
Factors of 216
All numbers are factors of some other numbers. Let’s understand what the factors are, actually. Basically, factors of a number are those numbers or integers which divide the original number evenly, which means leaving 0 (zero) remainder.
What are the Factors of 216 ?
The factors of 216 are -
1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216.
Negative factors of 216: (-1,-216), (-2,-108), (-3,-72), (-4,-54), (-6,-36), (-8,-27), (-9,-24), (-12,-18).
Prime factors of 216: 2×2×2×3×3×3
Prime Factorization of 216: 2×2×2×3×3×3 = 23×33
The sum of Factors of 216: 1+2+3+4+6+8+9+12+18+24+27+36+54+72+108+216 = 600
How to Find the Factors of 216
We can find factors of 216 in some most easy ways, mentioned below:
- Multiplication Method
- Division Method
- Prime Factor and Prime Factorization
- Factor Tree
Finding Factors using Multiplication Methods
This particular method usually finds the pair of factors which, on multiplication together, produces 216. Let us find the pairs which, on multiplication, yields 216.
1×216=216
2×108=216
3×72=216
4×54=216
6×36=216
8×27=216
9×24=216
12×18=216
So, we got the factors as 1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216.
Finding Factors using Division Method
The division method finds the numbers that perfectly divides the given number 216. To find the factors of 216, we have to divide 216 by all possible natural numbers less than 216.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216 are the only factors that the number 216 has. So to verify the factors of 216 using the division method, we just need to divide 216 by each factor.
216/1 =216
216/2 =108
216/3=72
216/4=54
216/6=36
216/9=24
216/12=18
TASK: Do the same as above with the remaining factors.
Prime Factors and Prime Factorization
To get the 216 as their product, we multiply a set of prime numbers, and that set is called prime factors. Prime factorization is the process of breaking down the number into its prime factors.
Prime Factors of 216: 2,3.
Prime Factorization of 261: 2×2×2×3×3×3 = 23×33
Factor tree
Factor tree: The number 216 is written on top and two branches are drawn.
Fill in the branches with a factor pair of the number above, i.e., 216.
Continue this process until each branch ends with a prime factor (number).
The first two branches of the factor tree of 216 are 2 and 108, then proceeding to 108, we get 2 and 54.
Similarly, for 54: 2 and 27
For 27: 3 and 9
For 9: 3 and 3
Factor Pairs
Positive pair factors: (1,216), (2,108), (3,72), (4,54), (6,36), (8,27), (9,24), (12,18).
Negative pair factors: (-1,-216), (-2,-108), (-3,-72), (-4,-54), (-6,-36), (-8,-27), (-9,-24), (-12,-18).
Common Mistakes and How to Avoid Them in Factors of 216
Wrong concept of factors can lead to mathematical errors. So, let us see some common errors which we should avoid making.
Mistake 1
Having a misconception about factors and multiples. Students tend to confuse about these concepts,
Factors are different from multiples. You need to understand it clearly that factors are integers which divide a given number evenly, and multiples are the products we get when the original number is multiplied with different integers.
FAQs on Factors of 216
1.Is 216 divisible by 3?
2.Is 216 a perfect square?
3.What is √216?
4.What is 216 divisible by?
5.Is 216 a multiple of 24?
6.How can children in Philippines use numbers in everyday life to understand Factors of 216?
7.What are some fun ways kids in Philippines can practice Factors of 216 with numbers?
8.What role do numbers and Factors of 216 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Factors of 216 skills?
Important Glossaries for Factors of 216
- Factors - These are numbers that divide the given number without leaving any remainder or the remainder as 0.
- Prime Factorization - It involves factoring the number into its prime factors.
- Prime factors - These are the prime numbers which on multiplication together results into the original number whose prime factors are to be obtained.
- Composite numbers - These are numbers having more than two factors.
- Multiple - It is a product of the given number and any other integer.
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About BrightChamps in Philippines
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.
