102 LearnersLast updated on May 26th, 2025
Factors of 1702
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 1702, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1702?
The numbers that divide 1702 evenly are known as factors of 1702.
A factor of 1702 is a number that divides the number without remainder.
The factors of 1702 are 1, 2, 851, and 1702.
Negative factors of 1702: -1, -2, -851, and -1702.
Prime factors of 1702: 2 and 851.
Prime factorization of 1702: 2 × 851.
The sum of factors of 1702: 1 + 2 + 851 + 1702 = 2556
How to Find Factors of 1702?
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 1702. Identifying the numbers which are multiplied to get the number 1702 is the multiplication method.
Step 1: Multiply 1702 by 1, 1702 × 1 = 1702.
Step 2: Check for other numbers that give 1702 after multiplying 2 × 851 = 1702
Therefore, the positive factor pairs of 1702 are: (1, 1702) and (2, 851).
All these factor pairs result in 1702.
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 that result in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1702 by 1, 1702 ÷ 1 = 1702.
Step 2: Continue dividing 1702 by the numbers until the remainder becomes 0.
1702 ÷ 1 = 1702
1702 ÷ 2 = 851
Therefore, the factors of 1702 are: 1, 2, 851, 1702.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 1702 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1702 ÷ 2 = 851
851 ÷ 851 = 1
The prime factors of 1702 are 2 and 851.
The prime factorization of 1702 is: 2 × 851.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 1702 is divided by 2 to get 851.
Step 2: 851 is a prime number and cannot be divided further. So, the prime factorization of 1702 is: 2 × 851.
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 1702: (1, 1702) and (2, 851).
Negative factor pairs of 1702: (-1, -1702) and (-2, -851).
Common Mistakes and How to Avoid Them in Factors of 1702
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1702, 1 and 1702 are also factors.
Factors of 1702 Examples
Problem 1
A farmer has 1702 apples and wants to pack them in boxes, each containing 2 apples. How many boxes can he fill?
He can fill 851 boxes.
Explanation
To find the number of boxes, divide the total apples by the number of apples per box.
1702/2 = 851
Problem 2
A road is 1702 meters long and needs to be divided into 2-meter sections for construction. How many sections will there be?
There will be 851 sections.
Explanation
To find the number of sections, divide the total length by the length of each section.
1702/2 = 851
Problem 3
A rectangle has an area of 1702 square meters and a width of 2 meters. What is the length?
The length is 851 meters.
Explanation
To find the length, use the formula for area,
Area = length × width
1702 = 2 × length
1702/2 = length
Length = 851
FAQs on Factors of 1702
1.What are the factors of 1702?
2.Mention the prime factors of 1702.
3.Is 1702 a multiple of 2?
4.Mention the factor pairs of 1702?
5.What is the square of 1702?
Important Glossaries for Factors of 1702
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1702 are 1, 2, 851, and 1702.
- Prime factors: The factors which are prime numbers. For example, 2 and 851 are prime factors of 1702.
- 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 1702 are (1, 1702) and (2, 851).
- Prime factorization: Expressing a number as a product of its prime factors. For example, the prime factorization of 1702 is 2 × 851.
- Negative factors: Factors that are negative, such as -1, -2, -851, and -1702 for 1702.
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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.
