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143 LearnersLast updated on December 5th, 2024
Factors of 109
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 109?
With the help of the long division method, we can find out that 1091 can be easily divided by 1 and 109. It is also worth remembering that numbers, having only 2 factors, are called prime numbers.
How to find the factors of 109
There are many methods which the students can use to find out the factors of a number. Below you can find some of these methods.
- 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 109 the pairs are.
1 × 109 = 109
Hence, we can conclude that the factors of 109 are 1 and 109.
Finding factors by division method
In the division method, you need to divide the given number 109 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.
109 ÷ 1 = 109 (no remainder)
109 ÷ 109 = 1 (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.
109÷1= 109 (1 is a prime factor).
109 is also a prime number.
Therefore, prime factors of 109 are 1 and 109.
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 109
Factors of 109 Examples
Problem 1
What are the composite factors of 36?
Explanation
Problem 2
Are all factors of a number also divisors of that number?
Explanation
Problem 3
If the given numbers are 18 and 24, what are their greatest common factors?
Explanation
FAQs on factors of 109
1.Yes, when we use the prime factorization method on 144 we find out that the prime factors of 144 are 3 and 2, proving that 12 is indeed a factor of 144.Is 12 a factor of 144?
2. Is 109 a prime number?
3. Can 1 be a factor of all the numbers?
4.What is the sum of factors of 52?
5.What is the largest factor of 109
Important glossaries for factors of 109
- 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.
