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 1630, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1630 evenly are known as factors of 1630.
A factor of 1630 is a number that divides the number without remainder.
The factors of 1630 are 1, 2, 5, 10, 163, 326, 815, and 1630.
Negative factors of 1630: -1, -2, -5, -10, -163, -326, -815, and -1630.
Prime factors of 1630: 2, 5, and 163.
Prime factorization of 1630: 2 × 5 × 163.
The sum of factors of 1630: 1 + 2 + 5 + 10 + 163 + 326 + 815 + 1630 = 2952
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 1630. Identifying the numbers which are multiplied to get the number 1630 is the multiplication method.
Step 1: Multiply 1630 by 1, 1630 × 1 = 1630.
Step 2: Check for other numbers that give 1630 after multiplying
2 × 815 = 1630
5 × 326 = 1630
10 × 163 = 1630
Therefore, the positive factor pairs of 1630 are: (1, 1630), (2, 815), (5, 326), (10, 163). All these factor pairs result in 1630.
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 1630 by 1, 1630 ÷ 1 = 1630.
Step 2: Continue dividing 1630 by the numbers until the remainder becomes 0.
1630 ÷ 1 = 1630
1630 ÷ 2 = 815
1630 ÷ 5 = 326
1630 ÷ 10 = 163
Therefore, the factors of 1630 are: 1, 2, 5, 10, 163, 326, 815, 1630.
The factors can be found by dividing with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1630 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1630 ÷ 2 = 815
815 ÷ 5 = 163
163 ÷ 163 = 1
The prime factors of 1630 are 2, 5, and 163.
The prime factorization of 1630 is: 2 × 5 × 163.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1630 is divided by 2 to get 815.
Step 2: Now divide 815 by 5 to get 163.
Step 3: 163 is a prime number, which cannot be divided further. So, the prime factorization of 1630 is: 2 × 5 × 163.
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 1630: (1, 1630), (2, 815), (5, 326), and (10, 163).
Negative factor pairs of 1630: (-1, -1630), (-2, -815), (-5, -326), and (-10, -163).
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 10 teams and 1630 participants. How will they divide it equally?
Each team will have 163 participants.
To divide the participants equally, we need to divide the total participants by the number of teams.
1630/10 = 163
A rectangular garden is 5 meters wide, and the total area is 1630 square meters. Find the length?
326 meters.
To find the length of the garden, we use the formula, Area = length × width
1630 = 5 × length
To find the value of length, we need to shift 5 to the left side.
1630/5 = length
Length = 326.
There are 163 bags and 1630 marbles. How many marbles will be in each bag?
Each bag will have 10 marbles.
To find the marbles in each bag, divide the total marbles by the number of bags.
1630/163 = 10
In a class, there are 815 students, and 5 groups. How many students are there in each group?
There are 163 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
815/5 = 163
1630 books need to be arranged in 2 shelves. How many books will go on each shelf?
Each shelf will have 815 books.
Divide total books by shelves.
1630/2 = 815
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.