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 1580, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 1580 evenly are known as factors of 1580.
A factor of 1580 is a number that divides the number without a remainder.
The factors of 1580 are 1, 2, 5, 10, 79, 158, 395, 790, and 1580.
Negative factors of 1580: -1, -2, -5, -10, -79, -158, -395, -790, and -1580.
Prime factors of 1580: 2, 5, and 79.
Prime factorization of 1580: 2 × 5 × 79.
The sum of factors of 1580: 1 + 2 + 5 + 10 + 79 + 158 + 395 + 790 + 1580 = 3020
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 1580. Identifying the numbers which are multiplied to get the number 1580 is the multiplication method.
Step 1: Multiply 1580 by 1, 1580 × 1 = 1580.
Step 2: Check for other numbers that give 1580 after multiplying:
2 × 790 = 1580
5 × 316 = 1580
10 × 158 = 1580
79 × 20 = 1580
Therefore, the positive factor pairs of 1580 are: (1, 1580), (2, 790), (5, 316), (10, 158), and (79, 20).
For every positive factor, there is a negative factor.
Dividing the given numbers with the 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 1580 by 1, 1580 ÷ 1 = 1580.
Step 2: Continue dividing 1580 by the numbers until the remainder becomes 0.
1580 ÷ 1 = 1580
1580 ÷ 2 = 790
1580 ÷ 5 = 316
1580 ÷ 10 = 158
1580 ÷ 79 = 20
Therefore, the factors of 1580 are: 1, 2, 5, 10, 79, 158, 395, 790, 1580.
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1580 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1580 ÷ 2 = 790
790 ÷ 5 = 158
158 ÷ 79 = 2
2 ÷ 2 = 1
The prime factors of 1580 are 2, 5, and 79.
The prime factorization of 1580 is: 2 × 5 × 79.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 1580 is divided by 2 to get 790.
Step 2: Now divide 790 by 5 to get 158.
Step 3: Then divide 158 by 79 to get 2.
Step 4: Divide 2 by 2 to get 1.
The prime factorization of 1580 is: 2 × 5 × 79.
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 1580: (1, 1580), (2, 790), (5, 316), (10, 158), and (79, 20).
Negative factor pairs of 1580: (-1, -1580), (-2, -790), (-5, -316), (-10, -158), and (-79, -20).
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 1580 badges. How will they distribute them equally?
They will get 316 badges each.
To distribute the badges equally, divide the total badges by the number of teams.
1580/5 = 316
A rectangular park has a length of 79 meters and a total area of 1580 square meters. Find the width.
20 meters.
To find the width of the park, use the formula:
Area = length × width
1580 = 79 × width
To find the value of width, divide 1580 by 79.
1580/79 = width
Width = 20.
There are 1580 candies and 10 bags. How many candies will be in each bag?
Each bag will have 158 candies.
To find the candies in each bag, divide the total candies by the number of bags. 1580/10 = 158
In a class, there are 1580 students, and 395 groups. How many students are there in each group?
There are 4 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
1580/395 = 4
1580 books need to be arranged in 2 shelves. How many books will go on each shelf?
Each of the shelves has 790 books.
Divide total books by shelves.
1580/2 = 790
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.