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157 LearnersLast updated on December 4th, 2024
Factors of 480
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 480?
With the help of long division method, we can find out that 480 can be easily divided by 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240 and 480. It is also worth remembering that numbers, having only 2 factors, are called prime numbers.
How to Find the Factors of 480
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 480 the pairs are.
1×480=480
2×240=480
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20×24=480
Hence, we can conclude that the factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, and 480.
Finding Factors by Division Method
In the division method, you need to divide the given number 480 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.
480÷1=480(no remainder)
480÷2=240(no remainder)
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480÷16=30(no remainder)
480÷20=24(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.
480÷3= 160 (3 is a prime factor).
2 and 5 are also prime.
Therefore, prime factors of 480 are 2, 3, and 5
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 480.
Factors of480 Examples
Problem 1
What is the least common multiple (LCM) of 12 and 15?
Explanation
Problem 2
What is the sum of all the factors of 28?
Explanation
Problem 3
How do you find the common factors of 45 and 60?
Explanation
FAQs on Factors of 480
1. What are the prime factors of 72?
2.How many odd factors does 480 have?
3.Is the divisor the same as factors?
4.What are the factor pairs of 21?
5.Which number has five factors?
Important Glossaries for Factors of 480
- 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.
