101 LearnersLast updated on May 26th, 2025
Factors of 1670
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 1670, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1670?
The numbers that divide 1670 evenly are known as factors of 1670.
A factor of 1670 is a number that divides the number without remainder.
The factors of 1670 are 1, 2, 5, 10, 167, 334, 835, and 1670.
Negative factors of 1670: -1, -2, -5, -10, -167, -334, -835, and -1670.
Prime factors of 1670: 2, 5, and 167.
Prime factorization of 1670: 2 × 5 × 167.
The sum of factors of 1670: 1 + 2 + 5 + 10 + 167 + 334 + 835 + 1670 = 3024
How to Find Factors of 1670?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 1670. Identifying the numbers which are multiplied to get the number 1670 is the multiplication method.
Step 1: Multiply 1670 by 1, 1670 × 1 = 1670.
Step 2: Check for other numbers that give 1670 after multiplying:
2 × 835 = 1670
5 × 334 = 1670
10 × 167 = 1670
Therefore, the positive factor pairs of 1670 are: (1, 1670), (2, 835), (5, 334), (10, 167). 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 in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1670 by 1, 1670 ÷ 1 = 1670.
Step 2: Continue dividing 1670 by the numbers until the remainder becomes 0.
1670 ÷ 1 = 1670
1670 ÷ 2 = 835
1670 ÷ 5 = 334
1670 ÷ 10 = 167
Therefore, the factors of 1670 are: 1, 2, 5, 10, 167, 334, 835, 1670.
Prime Factors and Prime Factorization
The factors can be found by dividing with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using a factor tree
Using Prime Factorization: In this process, prime factors of 1670 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1670 ÷ 2 = 835
835 ÷ 5 = 167
167 ÷ 167 = 1
The prime factors of 1670 are 2, 5, and 167. T
he prime factorization of 1670 is: 2 × 5 × 167.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1670 is divided by 2 to get 835.
Step 2: Now divide 835 by 5 to get 167.
Step 3: Since 167 is a prime number, the division ends here. So, the prime factorization of 1670 is: 2 × 5 × 167.
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 1670: (1, 1670), (2, 835), (5, 334), (10, 167).
Negative factor pairs of 1670: (-1, -1670), (-2, -835), (-5, -334), (-10, -167).
Common Mistakes and How to Avoid Them in Factors of 1670
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 1670, 1 and 1670 are also factors.
Factors of 1670 Examples
Problem 1
There are 167 students and 1670 candies. How will they divide them equally?
They will get 10 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of students.
1670/167 = 10
Problem 2
A rectangle has a length of 10 meters and a total area of 1670 square meters. Find the width.
167 meters.
Explanation
To find the width of the rectangle, we use the formula: Area = length × width
1670 = 10 × width
To find the value of width, we need to shift 10 to the left side.
1670/10 = width
Width = 167.
Problem 3
There are 334 boxes and 1670 apples. How many apples will be in each box?
Each box will have 5 apples.
Explanation
To find the apples in each box, divide the total apples by the boxes.
1670/334 = 5
Problem 4
In a class, there are 1670 students, and 10 groups. How many students are there in each group?
There are 167 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1670/10 = 167
Problem 5
1670 books need to be arranged in 5 shelves. How many books will go on each shelf?
Each of the shelves has 334 books.
Explanation
Divide total books by shelves.
1670/5 = 334
FAQs on Factors of 1670
1.What are the factors of 1670?
2.Mention the prime factors of 1670.
3.Is 1670 a multiple of 5?
4.Mention the factor pairs of 1670?
5.What is the square of 1670?
Important Glossaries for Factor of 1670
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1670 are 1, 2, 5, 10, 167, 334, 835, and 1670.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 167 are prime factors of 1670.
- 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 1670 are (1, 1670), (2, 835), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1670 is 2 × 5 × 167.
- Multiple: A number that can be divided by another number without a remainder. For example, 1670 is a multiple of 5.
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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.
