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100 LearnersLast updated on April 10th, 2025
Factors of 179
Factors are the numbers that divide any given number evenly without a remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 179, how they are used in real life, and tips to learn them quickly.
What are the Factors of 179?
The numbers that divide 179 evenly are known as factors of 179. A factor of 179 is a number that divides the number without a remainder. The factors of 179 are 1 and 179.
Negative factors of 179: -1 and -179.
Since 179 is a prime number, it has no prime factors other than itself and 1.
The sum of factors of 179: 1 + 179 = 180
How to Find Factors of 179?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the division method
- Recognizing prime numbers
Finding Factors Using Multiplication
Since 179 is a prime number, it cannot be expressed as a product of two smaller natural numbers other than 1 and 179 itself. Therefore, the multiplication method only involves: 1 × 179 = 179 For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number by whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 179 by 1, 179 ÷ 1 = 179.
Step 2: Check divisibility by other numbers up to the square root of 179. Since 179 is a prime number, it is only divisible by 1 and itself. Therefore, the factors of 179 are: 1 and 179.
Prime Numbers and Recognition
Prime numbers are numbers greater than 1 that have no divisors other than 1 and themselves. Since 179 is a prime number, it cannot be broken down into other factors. Recognizing prime numbers involves checking divisibility only by itself and 1.
Factor Tree
A factor tree is not applicable for prime numbers like 179 since there are no factors to break down into a tree structure. As 179 is a prime number, it does not have a factor tree representation.
Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.
- Positive factor pairs of 179: (1, 179).
- Negative factor pairs of 179: (-1, -179).
Common Mistakes and How to Avoid Them in Factors of 179
Factors of 179 Examples
Problem 1
There are 179 students and 1 bus. How will the students be arranged?
Explanation
Problem 2
A circular track has 179 meters, and it needs to be divided among 179 runners. How many meters will each runner get?
Explanation
Problem 3
A club has 179 members and plans to form groups of equal size. What is the maximum group size that can be formed?
Explanation
Problem 4
A book has 179 pages, and it is printed in 1 volume. How many pages are in the volume?
Explanation
FAQs on Factors of 179
1.What are the factors of 179?
2.Is 179 a prime number?
3.Are there any factor pairs for 179?
4.What is the sum of the factors of 179?
5.Can 179 be divided by any number other than 1 and 179?
Important Glossaries for Factors of 179
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 179 are 1 and 179.
- Prime Number: A number greater than 1 that has no divisors other than 1 and itself. For example, 179 is a prime number.
- Negative Factors: Factors that are negative. For example, the negative factors of 179 are -1 and -179.
- Factor Pairs: Two numbers in a pair that are multiplied to give the original number. For example, the factor pairs of 179 are (1, 179) and (-1, -179).
- Divisibility: The capability of one number to be divided by another without leaving a remainder. For example, 179 is divisible by 1 and 179.
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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.
