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 1751, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1751 evenly are known as factors of 1751.
A factor of 1751 is a number that divides the number without a remainder.
The factors of 1751 are 1, 29, 61, and 1751.
Negative factors of 1751: -1, -29, -61, and -1751.
Prime factors of 1751: 29 and 61.
Prime factorization of 1751: 29 × 61.
The sum of factors of 1751: 1 + 29 + 61 + 1751 = 1842
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 1751. Identifying the numbers which are multiplied to get the number 1751 is the multiplication method.
Step 1: Multiply 1751 by 1, 1751 × 1 = 1751.
Step 2: Check for other numbers that give 1751 after multiplying 29 × 61 = 1751
Therefore, the positive factor pairs of 1751 are: (1, 1751) and (29, 61).
All these factor pairs result in 1751. 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 that result as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1751 by 1, 1751 ÷ 1 = 1751.
Step 2: Continue dividing 1751 by the numbers until the remainder becomes 0.
1751 ÷ 1 = 1751
1751 ÷ 29 = 61
1751 ÷ 61 = 29
Therefore, the factors of 1751 are: 1, 29, 61, 1751.
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 1751 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1751 ÷ 29 = 61 61 is a prime number and cannot be divided further by any prime numbers except itself.
The prime factors of 1751 are 29 and 61.
The prime factorization of 1751 is: 29 × 61.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1751 is divided by 29 to get 61. Here, 61 is a prime number, that cannot be divided anymore.
So, the prime factorization of 1751 is: 29 × 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 1751: (1, 1751) and (29, 61).
Negative factor pairs of 1751: (-1, -1751) and (-29, -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 29 apples and 1751 seeds. How will they distribute the seeds equally among the apples?
Each apple will get 61 seeds.
To distribute the seeds equally, we need to divide the total seeds by the number of apples.
1751/29 = 61
A rectangular garden has a length of 61 meters and a total area of 1751 square meters. Find the width.
29 meters.
To find the width of the garden, we use the formula,
Area = length × width
1751 = 61 × width
To find the value of width, we need to shift 61 to the left side.
1751/61 = width
Width = 29.
There are 1751 marbles and 61 bags. How many marbles will be in each bag?
Each bag will have 29 marbles.
To find the marbles in each bag, divide the total marbles by the number of bags.
1751/61 = 29
In a competition, there are 1751 participants and 29 teams. How many participants are there in each team?
There are 61 participants in each team.
Dividing the participants by the total teams, we will get the number of participants in each team.
1751/29 = 61
1751 books need to be arranged in 29 shelves. How many books will go on each shelf?
Each of the shelves has 61 books.
Divide total books by shelves.
1751/29 = 61
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.