181 LearnersLast updated on May 26th, 2025
Factors of 215
Factors are the ‘building blocks’ of a number. They are the numbers that can be multiplied together to reach the number you started with. 215 is an interesting number. It is large enough to make you think, but simple enough to learn if you know a few tricks. Let’s dive into it!
What are the factors of 215?
Factors are whole numbers that, when multiplied, the product is equal to 215.
215 is not a prime number, its factors are 1,5,43 and 215. For every factor, there is a corresponding negative factor, for 215, the negative factors -1,-5,-43 and -215.
How to find the factors of 215?
There are various methods we apply to find the factors of any number. Few of them are listed here; multiplication method, division method, prime factors and prime factorization and factor tree method. These are explained in detail below, let’s learn !
Finding Factors Using Multiplication
Step 1: Find all pairs of numbers whose product is 215.
Step 2: All the pairs found represent the factors of 215.
215 is not a prime number. The pair of numbers whose product is 215 is;
1×215=215
5×43 = 215
The factors of 215 are 1, 5, 43 and 215
Finding Factors by Division Method
Step 1: Start by dividing 215 with the smallest number, and check the remainders.
Step 2: 215 is not prime, therefore the divisors it has are 1,5,43 and 215. Any number that is further checked for divisibility leaves behind a remainder.
The factors of 215 are 1,5,43 and 215.
Prime factors and prime factorization
— 215 is not a prime number.
— The prime factorization of 215 is 5×43.
— Factors of 215 are 1,5,43 and 215.
Factor tree
— In this method, we make branches that extend from the number to express a number as the product of its factors.
— In case of 215, only one branch will be extended as the number is prime factorized as 5×43. 43 is a prime number and cannot be factored further.
Common mistakes and how to avoid them in factors of 215
We all make mistakes when it comes to finding factors, especially when it comes to numbers like 215. Don’t worry, it is a part of learning. Here are a few common slip-ups we may make, along with tips to avoid them.
Mistake 1
Excluding negative factors
Every positive factor has a corresponding negative factor. Often times, the negative factors are not included.
Factors of 215 Examples
Problem 1
Find the prime factors of 215.
Start by dividing 215 by the smallest prime number that divides it evenly, which is 5: 215÷5=43
Now check if 43 is prime. It is, so the prime factors of 215 are 5 and 43.
Explanation
Prime factors are factors that are prime numbers themselves. We break down 215 into the smallest primes that multiply to give 215, which are 5 and 43.
Problem 2
What are the common factors of 215 and 45?
List the factors of 215: 1, 5, 43, 215.
List the factors of 45: 1, 3, 5, 9, 15, 45.
Identify common factors: Both numbers share 1 and 5 as factors.
Explanation
Common factors are numbers that divide both numbers without leaving a remainder. By listing each number’s factors, we find that only 1 and 5 are shared between 215 and 45.
Problem 3
Is 15 a factor of 215?
Divide 215 by 15: 215÷15=14.3333 (not an integer)
Since the result is not a whole number, 15 is not a factor of 215.
Explanation
For a number to be a factor, dividing it by the number should result in a whole number. Since 15 does not divide 215 evenly, it isn’t a factor.
FAQs on Factors of 215
1.Is 215 a multiple of 7?
2.Is 215 odd or even?
3.What is the number name of 215?
4.What is the LCM of 215 and 200?
5. Are 215 and 216 co-prime?
Important Glossaries for Factors of 215
- Factors: numbers that divide the given number without leaving a remainder.
- Prime factorization: breaking numbers down into their prime factors.
- Prime factors: Prime numbers that multiply together to form a given number.
- Composite number: Number that has at least more than one divisor other than 1 and the number itself.
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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.
