132 LearnersLast updated on May 26th, 2025
Factors of 1751
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.
What are the Factors of 1751?
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
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How to Find Factors of 1751?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using division method
- Prime factors and Prime factorization
Finding Factors Using Multiplication
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.
Finding Factors Using Division Method
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.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 1751
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1751, 1 and 1751 are also factors.
Mistake 2
Missing Negative Factors
We often use only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1751 consist of -1, -29, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 is a factor, because 1751/1.5 = 1167.333, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 1751 are prime numbers.
For example, 29 and 61 are the prime factors of 1751, but it also has factors like 1 and 1751.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1751 as 29 × 61 and missing all the key factors.
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Factors of 1751 Examples
Problem 1
There are 29 apples and 1751 seeds. How will they distribute the seeds equally among the apples?
Each apple will get 61 seeds.
Explanation
To distribute the seeds equally, we need to divide the total seeds by the number of apples.
1751/29 = 61
Problem 2
A rectangular garden has a length of 61 meters and a total area of 1751 square meters. Find the width.
29 meters.
Explanation
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.
Problem 3
There are 1751 marbles and 61 bags. How many marbles will be in each bag?
Each bag will have 29 marbles.
Explanation
To find the marbles in each bag, divide the total marbles by the number of bags.
1751/61 = 29
Problem 4
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.
Explanation
Dividing the participants by the total teams, we will get the number of participants in each team.
1751/29 = 61
Problem 5
1751 books need to be arranged in 29 shelves. How many books will go on each shelf?
Each of the shelves has 61 books.
Explanation
Divide total books by shelves.
1751/29 = 61
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FAQs on Factors of 1751
1.What are the factors of 1751?
2.Mention the prime factors of 1751.
3.Is 1751 a multiple of 29?
4.Mention the factor pairs of 1751?
5.What is the square of 1751?
6.How can children in Australia use numbers in everyday life to understand Factors of 1751?
7.What are some fun ways kids in Australia can practice Factors of 1751 with numbers?
8.What role do numbers and Factors of 1751 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 1751 skills?
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Important Glossaries for Factor of 1751
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1751 are 1, 29, 61, and 1751.
- Prime factors: The factors which are prime numbers. For example, 29 and 61 are prime factors of 1751.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 1751 are (1, 1751) and (29, 61).
- Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 1751 is 29 × 61.
- Negative factors: Factors of a number that are negative. For example, -1, -29, -61, -1751 are the negative factors of 1751.
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About BrightChamps in Australia
Hiralee Lalitkumar Makwana
About the Author
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.
Fun Fact
: She loves to read number jokes and games.
