Last updated on May 26th, 2025
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 1631, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 1631 evenly are known as factors of 1631.
A factor of 1631 is a number that divides the number without remainder.
The factors of 1631 are 1, 19, 61, 323, 1631.
Negative factors of 1631: -1, -19, -61, -323, -1631.
Prime factors of 1631: 19 and 61.
Prime factorization of 1631: 19 × 61.
The sum of factors of 1631: 1 + 19 + 61 + 323 + 1631 = 2035
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 1631. Identifying the numbers which are multiplied to get the number 1631 is the multiplication method.
Step 1: Multiply 1631 by 1, 1631 × 1 = 1631.
Step 2: Check for other numbers that give 1631 after multiplying 19 × 61 = 1631 Therefore, the positive factor pairs of 1631 are: (1, 1631), (19, 61). All these factor pairs result in 1631.
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 1631 by 1, 1631 ÷ 1 = 1631.
Step 2: Continue dividing 1631 by the numbers until the remainder becomes 0.
1631 ÷ 1 = 1631
1631 ÷ 19 = 61
Therefore, the factors of 1631 are: 1, 19, 61, 323, 1631.
The factors can be found by dividing it with a prime number. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1631 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1631 ÷ 19 = 61
61 ÷ 61 = 1
The prime factors of 1631 are 19 and 61.
The prime factorization of 1631 is: 19 × 61.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1631 is divided by 19 to get 61.
Step 2: Now divide 61 by 61 to get 1. Here, 61 is a prime number, that cannot be divided anymore. So, the prime factorization of 1631 is: 19 × 61.
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 1631: (1, 1631), (19, 61).
Negative factor pairs of 1631: (-1, -1631), (-19, -61).
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 19 teams and 1631 participants. How will they divide the participants equally among the teams?
They will have 61 participants each.
To divide the participants equally, we need to divide the total participants by the number of teams.
1631 ÷ 19 = 61
A road is 323 meters long, and workers are placing poles every 19 meters. How many poles will be placed?
17 poles.
To find the number of poles, divide the total length by the distance between each pole.
323 ÷ 19 = 17
There are 61 boxes and 1631 items. How many items will be in each box?
Each box will have 27 items.
To find the items in each box, divide the total items by the number of boxes.
1631 ÷ 61 = 27
In a stadium, there are 1631 seats, and 5 sections. How many seats are there in each section?
There are 326 seats in each section.
Dividing the seats by the total sections, we will get the number of seats in each section.
1631 ÷ 5 = 326
1631 books need to be arranged in 7 shelves. How many books will go on each shelf?
Each of the shelves has 233 books.
Divide total books by shelves.
1631 ÷ 7 = 233
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.