102 LearnersLast updated on May 26th, 2025
Factors of 670
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 670, how they are used in real life, and tips to learn them quickly.
What are the Factors of 670?
The numbers that divide 670 evenly are known as factors of 670.
A factor of 670 is a number that divides the number without remainder.
The factors of 670 are 1, 2, 5, 10, 67, 134, 335, and 670.
Negative factors of 670: -1, -2, -5, -10, -67, -134, -335, and -670.
Prime factors of 670: 2, 5, and 67.
Prime factorization of 670: 2 × 5 × 67.
The sum of factors of 670: 1 + 2 + 5 + 10 + 67 + 134 + 335 + 670 = 1224
How to Find Factors of 670?
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 670. Identifying the numbers which are multiplied to get the number 670 is the multiplication method.
Step 1: Multiply 670 by 1, 670 × 1 = 670.
Step 2: Check for other numbers that give 670 after multiplying
2 × 335 = 670
5 × 134 = 670
10 × 67 = 670
Therefore, the positive factor pairs of 670 are: (1, 670), (2, 335), (5, 134), (10, 67).
All these factor pairs result in 670. For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number with 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 a simple division method
Step 1: Divide 670 by 1, 670 ÷ 1 = 670.
Step 2: Continue dividing 670 by the numbers until the remainder becomes 0.
670 ÷ 1 = 670
670 ÷ 2 = 335
670 ÷ 5 = 134
670 ÷ 10 = 67
Therefore, the factors of 670 are: 1, 2, 5, 10, 67, 134, 335, 670.
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 670 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
670 ÷ 2 = 335
335 ÷ 5 = 67
67 ÷ 67 = 1
The prime factors of 670 are 2, 5, and 67.
The prime factorization of 670 is: 2 × 5 × 67.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 670 is divided by 2 to get 335.
Step 2: Now divide 335 by 5 to get 67.
Step 3: Divide 67 by 67 to get 1. Here, 67 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 670 is: 2 × 5 × 67.
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 670: (1, 670), (2, 335), (5, 134), (10, 67).
Negative factor pairs of 670: (-1, -670), (-2, -335), (-5, -134), (-10, -67).
Common Mistakes and How to Avoid Them in Factors of 670
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 670, 1 and 670 are also factors.
Factors of 670 Examples
Problem 1
John has 670 apples to pack into 10 boxes. How many apples will go into each box?
Each box will have 67 apples.
Explanation
To divide the apples equally, we need to divide the total apples with the number of boxes.
670/10 = 67
Problem 2
A garden is rectangular, the length of the garden is 134 meters and the total area is 670 square meters. Find the width?
5 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
670 = 134 × width
To find the value of width, we need to shift 134 to the left side.
670/134 = width
Width = 5.
Problem 3
There are 2 teachers and 670 students. How many students will each teacher manage?
Each teacher will manage 335 students.
Explanation
To find the number of students per teacher, divide the total number of students by the number of teachers.
670/2 = 335
Problem 4
In a town, there are 67 houses, and 10 streets. How many houses are there on each street?
There are 6.7 houses on each street, which means some streets may have 7 houses and others 6.
Explanation
Dividing the houses by the total streets, we will get the number of houses on each street.
670/10 = 67
Problem 5
A car rental company has 335 cars and 5 rental locations. How many cars are in each location?
Each location has 67 cars.
Explanation
Divide total cars by rental locations.
335/5 = 67
FAQs on Factors of 670
1.What are the factors of 670?
2.Mention the prime factors of 670.
3.Is 670 a multiple of 10?
4.Mention the factor pairs of 670?
5.What is the square of 670?
Important Glossaries for Factors of 670
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 670 are 1, 2, 5, 10, 67, 134, 335, and 670.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 67 are prime factors of 670.
- 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 670 are (1, 670), (2, 335), etc.
- Prime factorization: Breaking down a number into its prime factors. For 670, it is 2 × 5 × 67.
- Negative factors: Factors of a number that are negative. For 670, they include -1, -2, -5, -10, -67, etc.
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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.
