131 LearnersLast updated on May 28th, 2025
Factors of 1585
Factors are the numbers that divide any given number evenly without a 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 1585, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1585?
The numbers that divide 1585 evenly are known as factors of 1585.
A factor of 1585 is a number that divides the number without a remainder.
The factors of 1585 are 1, 5, 317, and 1585.
Negative factors of 1585: -1, -5, -317, and -1585.
Prime factors of 1585: 5 and 317.
Prime factorization of 1585: 5 × 317.
The sum of factors of 1585: 1 + 5 + 317 + 1585 = 1908
How to Find Factors of 1585?
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 1585. Identifying the numbers which are multiplied to get the number 1585 is the multiplication method.
Step 1: Multiply 1585 by 1, 1585 × 1 = 1585.
Step 2: Check for other numbers that give 1585 after multiplying
5 × 317 = 1585
Therefore, the positive factor pairs of 1585 are: (1, 1585), (5, 317).
All these factor pairs result in 1585.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers 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 1585 by 1, 1585 ÷ 1 = 1585.
Step 2: Continue dividing 1585 by the numbers until the remainder becomes 0.
1585 ÷ 1 = 1585
1585 ÷ 5 = 317
Therefore, the factors of 1585 are: 1, 5, 317, and 1585.
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 1585 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1585 ÷ 5 = 317
317 ÷ 317 = 1
The prime factors of 1585 are 5 and 317.
The prime factorization of 1585 is: 5 × 317.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1585 is divided by 5 to get 317.
Step 2: Now divide 317 by 317 to get 1.
Here, 317 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1585 is: 5 × 317.
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 1585: (1, 1585), (5, 317).
Negative factor pairs of 1585: (-1, -1585), (-5, -317).
Common Mistakes and How to Avoid Them in Factors of 1585
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 1585, 1 and 1585 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1585 consist of -1, -5, -317, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1585/1.5 ≈ 1056.67, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes. For example, thinking all the factors of 1585 are prime numbers.
For example, 5 and 317 are the prime factors of 1585, but it has other factors like 1, 1585.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1585 as 5 × 317 and missing all the key factors.
Factors of 1585 Examples
Problem 1
There are 5 teams and 1585 points. How will they divide it equally?
They will get 317 points each.
Explanation
To divide the points equally, we need to divide the total points with the number of teams.
1585/5 = 317
Problem 2
A garden is rectangular, the length of the garden is 5 meters and the total area is 1585 square meters. Find the width?
317 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1585 = 5 × width
To find the value of width, we need to shift 5 to the left side.
1585/5 = width
Width = 317.
Problem 3
There are 317 boxes and 1585 items. How many items will be in each box?
Each box will have 5 items.
Explanation
To find the items in each box, divide the total items with the boxes.
1585/317 = 5
Problem 4
In a warehouse, there are 1585 packages, and 5 sections. How many packages are there in each section?
There are 317 packages in each section.
Explanation
Dividing the packages with the total sections, we will get the number of packages in each section.
1585/5 = 317
Problem 5
1585 files need to be arranged in 5 cabinets. How many files will go in each cabinet?
Each of the cabinets has 317 files.
Explanation
Divide total files with cabinets.
1585/5 = 317
FAQs on Factors of 1585
1.What are the factors of 1585?
2.Mention the prime factors of 1585.
3.Is 1585 a multiple of 5?
4.Mention the factor pairs of 1585?
5.What is the square of 1585?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 1585?
7.What are some fun ways kids in Vietnam can practice Factors of 1585 with numbers?
8.What role do numbers and Factors of 1585 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 1585 skills?
Important Glossaries for Factor of 1585
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1585 are 1, 5, 317, and 1585.
- Prime factors: The factors which are prime numbers. For example, 5 and 317 are prime factors of 1585.
- 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 1585 are (1, 1585) and (5, 317).
- Multiple: A multiple of a number is the product of that number and an integer. For example, 1585 is a multiple of 5.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1585 is 5 × 317.
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About BrightChamps in Vietnam
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.
