100 LearnersLast updated on May 26th, 2025
Factors of 470
Factors are the numbers that divide any given number evenly without 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 470, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 470?
The numbers that divide 470 evenly are known as factors of 470.
A factor of 470 is a number that divides the number without remainder.
The factors of 470 are 1, 2, 5, 10, 47, 94, 235, and 470.
Negative factors of 470: -1, -2, -5, -10, -47, -94, -235, and -470.
Prime factors of 470: 2, 5, and 47.
Prime factorization of 470: 2 × 5 × 47.
The sum of factors of 470: 1 + 2 + 5 + 10 + 47 + 94 + 235 + 470 = 864
How to Find Factors of 470?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using division method
- Prime factors and Prime factorization
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 470. Identifying the numbers which are multiplied to get the number 470 is the multiplication method.
Step 1: Multiply 470 by 1, 470 × 1 = 470.
Step 2: Check for other numbers that give 470 after multiplying
2 × 235 = 470
5 × 94 = 470
10 × 47 = 470
Therefore, the positive factor pairs of 470 are: (1, 470), (2, 235), (5, 94), (10, 47).
All these factor pairs result in 470.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following the simple division method -
Step 1: Divide 470 by 1, 470 ÷ 1 = 470.
Step 2: Continue dividing 470 by the numbers until the remainder becomes 0.
470 ÷ 1 = 470
470 ÷ 2 = 235
470 ÷ 5 = 94
470 ÷ 10 = 47
Therefore, the factors of 470 are: 1, 2, 5, 10, 47, 94, 235, 470.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: In this process, prime factors of 470 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
470 ÷ 2 = 235
235 ÷ 5 = 47
47 ÷ 47 = 1
The prime factors of 470 are 2, 5, and 47.
The prime factorization of 470 is: 2 × 5 × 47.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 470 is divided by 2 to get 235.
Step 2: Now divide 235 by 5 to get 47.
Step 3: 47 is a prime number and cannot be divided further.
So, the prime factorization of 470 is: 2 × 5 × 47.
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 470: (1, 470), (2, 235), (5, 94), and (10, 47).
Negative factor pairs of 470: (-1, -470), (-2, -235), (-5, -94), and (-10, -47).
Common Mistakes and How to Avoid Them in Factors of 470
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 470, 1 and 470 is also a factor.
Factors of 470 Examples
Problem 1
There are 47 boxes and 470 marbles. How will they divide it equally?
They will get 10 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles with the number of boxes.
470/47 = 10
Problem 2
A parking lot is rectangular, the length of the lot is 10 meters and the total area is 470 square meters. Find the width?
47 meters.
Explanation
To find the width of the lot, we use the formula,
Area = length × width
470 = 10 × width
To find the value of width, we need to shift 10 to the left side.
470/10 = width
Width = 47.
Problem 3
There are 2 buses and 470 passengers. How many passengers will be in each bus?
Each bus will have 235 passengers.
Explanation
To find the passengers in each bus, divide the total passengers by the number of buses.
470/2 = 235
Problem 4
In a conference, there are 470 attendees, and 5 breakout rooms. How many attendees are there in each room?
There are 94 attendees in each room.
Explanation
Dividing the attendees with the total rooms, we will get the number of attendees in each room.
470/5 = 94
Problem 5
470 books need to be arranged in 94 stacks. How many books will go in each stack?
Each of the stacks has 5 books.
Explanation
Divide total books by stacks.
470/94 = 5
FAQs on Factors of 470
1.What are the factors of 470?
2.Mention the prime factors of 470.
3.Is 470 a multiple of 10?
4.Mention the factor pairs of 470?
5.What is the square of 470?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 470?
7.What are some fun ways kids in United Kingdom can practice Factors of 470 with numbers?
8.What role do numbers and Factors of 470 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Factors of 470 skills?
Important Glossaries for Factor of 470
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 470 are 1, 2, 5, 10, 47, 94, 235, and 470.
- Prime Factors: The factors which are prime numbers. For example, 2, 5, and 47 are prime factors of 470.
- Factor Pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 470 are (1, 470), (2, 235), etc.
- Prime Factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 470 is 2 × 5 × 47.
- Division Method: A method to find factors by dividing the number by integers until the remainder is zero. For example, dividing 470 by 2 to get 235.
Explore More numbers
Previous to Factors of 470
About BrightChamps in United Kingdom
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.
