Last updated on May 28th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 5 teams and 1585 points. How will they divide it equally?
They will get 317 points each.
To divide the points equally, we need to divide the total points with the number of teams.
1585/5 = 317
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.
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.
There are 317 boxes and 1585 items. How many items will be in each box?
Each box will have 5 items.
To find the items in each box, divide the total items with the boxes.
1585/317 = 5
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.
Dividing the packages with the total sections, we will get the number of packages in each section.
1585/5 = 317
1585 files need to be arranged in 5 cabinets. How many files will go in each cabinet?
Each of the cabinets has 317 files.
Divide total files with cabinets.
1585/5 = 317
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.
: She loves to read number jokes and games.