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174 LearnersLast updated on December 4th, 2024
Factors of 208
In this topic, let's learn about factors. It is scarce to find numbers that will divide a given number up to the smallest unit without remainder. These numbers are known as the factors, and learning about factors happens when a student comes across a number or number pair in the real world.
What are the factors of 208?
With the help of long division method, we can find out that 208 can be easily divided by 1, 2, 4, 8, 13, 16, 52, 104, and 208. It is also worth remembering that numbers, having only 2 factors, are called prime numbers.
How to find the factors of 208
There are many methods which the students can use to find out the factors of a number. Some of the most used methods are given below.
- Multiplication method
- Division method
- Prime factors and prime factorization
- Factor tree
Finding factors using multiplication method:
Multiplication method is quite an easy method where we find the pair of numbers which when multiplied with each other give the desired number. For 208 the pairs are.
1×208=208
2×104=208
4×52=208
8×26=208
13×16=208
Hence, we can conclude that the factors of 208 are 1, 2, 4, 8, 13, 16, 52, 104, 208.
Finding factors by division method
In the division method, you need to divide the given number 208 by every number starting from 1. If any number is able to divide it without leaving any reminder, then that number is considered as one of its factors.
208÷1=208 (no remainder)
208÷2=104 (no remainder)
208÷4=52 (no remainder)
208÷8=26 (no remainder)
208÷13=16 (no remainder)
Prime factors and prime factorization
Prime factorization is done by dividing the number by prime numbers to see which prime number is able to divide it, and if it does, then that number is considered as a prime number.
208÷2= 104 (2 is a prime factor).
13 is also prime.
Therefore, prime factors of 208 are 2 and 13
Factor tree
A factor tree is a form of number tree, which is a diagram which represents simple division, where the number at the top is divided until it reaches a prime number or cannot be further divided.
Common mistakes and how to avoid them in factors of 375.
Factors of 208 Examples
Problem 1
How do you find the common factors of 36 and 48?
Explanation
Problem 2
What is the smallest factor of any number?
Explanation
Problem 3
Is 4 a factor of 28?
Explanation
FAQs on factors of 208
1.What is the difference between factors and multiples?
2.Is 208 a composite number?
3.Are all factors of 208 odd?
4.Why can't 0 be a factor of any number?
5.What are the prime factors of 39?
Important glossaries for factors of 208
- Divisor: Any integer that can be divided, with no remainder, by some other integer, is a divisor.
- Prime Factorization: Writing a number as the product of its own prime factors.
- Factor Pair: Multiplication of two factors to get a product.
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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.
