100 LearnersLast updated on May 26th, 2025
Factors of 1951
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 1951, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1951?
The numbers that divide 1951 evenly are known as factors of 1951.
A factor of 1951 is a number that divides the number without remainder.
The factors of 1951 are 1, 37, 53, and 1951.
Negative factors of 1951: -1, -37, -53, and -1951.
Prime factors of 1951: 37 and 53.
Prime factorization of 1951: 37 × 53.
The sum of factors of 1951: 1 + 37 + 53 + 1951 = 2042
How to Find Factors of 1951?
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 1951. Identifying the numbers which are multiplied to get the number 1951 is the multiplication method.
Step 1: Multiply 1951 by 1, 1951 × 1 = 1951.
Step 2: Check for other numbers that give 1951 after multiplying 37 × 53 = 1951
Therefore, the positive factor pairs of 1951 are: (1, 1951) and (37, 53).
All these factor pairs result in 1951.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
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 1951 by 1, 1951 ÷ 1 = 1951.
Step 2: Continue dividing 1951 by the numbers until the remainder becomes 0.
1951 ÷ 1 = 1951
1951 ÷ 37 = 53
1951 ÷ 53 = 37
Therefore, the factors of 1951 are: 1, 37, 53, 1951.
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 1951 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1951 ÷ 37 = 53
53 ÷ 53 = 1
The prime factors of 1951 are 37 and 53.
The prime factorization of 1951 is: 37 × 53.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1951 is divided by 37 to get 53.
Step 2: Divide 53 by 53 to get 1. So, the prime factorization of 1951 is: 37 × 53.
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 1951: (1, 1951) and (37, 53).
Negative factor pairs of 1951: (-1, -1951) and (-37, -53).
Common Mistakes and How to Avoid Them in Factors of 1951
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 the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1951, 1 and 1951 are also factors.
Factors of 1951 Examples
Problem 1
A gardener has 1951 plants and wants to arrange them in rows of 37. How many full rows can be made?
53 full rows can be made.
Explanation
To find the number of full rows, divide the total plants by the number of plants per row.
1951/37 = 53
Problem 2
A theater has 1951 seats and 53 rows. How many seats are there in each row?
37 seats.
Explanation
To find the number of seats in each row, use the formula,
Total seats = rows × seats per row
1951 = 53 × seats per row
To find the value of seats per row, we need to divide 1951 by 53.
Seats per row = 37.
Problem 3
A concert hall has 1951 chairs and 37 sections. How many chairs are there in each section?
Each section will have 53 chairs.
Explanation
To find the chairs in each section, divide the total chairs by the number of sections.
1951/37 = 53
Problem 4
There are 1951 students and 53 buses. How many students will be in each bus?
There are 37 students in each bus.
Explanation
Dividing the students by the total buses, we will get the number of students in each bus.
1951/53 = 37
Problem 5
A library has 1951 books to arrange in 37 shelves. How many books will go on each shelf?
Each of the shelves has 53 books.
Explanation
Divide total books by shelves.
1951/37 = 53
FAQs on Factors of 1951
1.What are the factors of 1951?
2.Mention the prime factors of 1951.
3.Is 1951 a multiple of 37?
4.Mention the factor pairs of 1951?
5.What is the square of 1951?
6.How can children in Canada use numbers in everyday life to understand Factors of 1951?
7.What are some fun ways kids in Canada can practice Factors of 1951 with numbers?
8.What role do numbers and Factors of 1951 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1951 skills?
Important Glossaries for Factors of 1951
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1951 are 1, 37, 53, and 1951.
- Prime factors: The factors which are prime numbers. For example, 37 and 53 are prime factors of 1951.
- 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 1951 are (1, 1951) and (37, 53).
- Multiples: The product of the number and an integer. For example, 1951 is a multiple of 37.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1951 is 37 × 53.
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About BrightChamps in Canada
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.
