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143 LearnersLast updated on December 5th, 2024
Factors of 182
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 182?
With the help of the long division method, we can find out that 182 can be easily divided by 1, 2, 7, 13, 14, 26, 91, and 182. It is also worth remembering that numbers, having only 2 factors, are called prime numbers.
How to find the factors of 182
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 182 the pairs are.
1 × 182 = 182
2 × 91 = 182
7 × 26 = 182
13 × 14 = 182
Hence, we can conclude that the factors of 182 are 1, 2, 7, 13, 14, 26, 91, and 182.
Finding factors by division method
In the division method, you need to divide the given number 182 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.
182 ÷ 1 = 182 (no remainder)
182 ÷ 2 = 91 (no remainder)
182 ÷ 7 = 26 (no remainder)
182 ÷ 13 = 14 (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.
182÷7= 26 (7 is a prime factor).
26 can be written as 2 and 13 which are also prime numbers.
Therefore, prime factors of 182 are 2, 7, 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 182.
Factors of 182 Examples
Problem 1
What is the least common multiple (LCM) of 18 and 24?
Explanation
Problem 2
What is a factor pair?
Explanation
Problem 3
What are the factors of a multiple of 10?
Explanation
FAQs on factors of 182.
1.What is the sum of the factors of 16 together?
2. What are the factor pairs of 42?
3.What are the prime factors of 84?
4.What is the difference between division and prime factor method?
5.What is the smallest factor of 221 other than 1?
Important glossaries for factors of 182.
- 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.
