236 LearnersLast updated on May 26th, 2025
Factors of 51
Students need to understand that factors are the building blocks of numbers, and understanding factors is essential in various mathematical concepts. When you are sharing money equally among a group of people, factors are used to resolve the fair distribution.
What are the Factors of 51?
The factors of 52 will be 1, 3, 17, 51. These are the only numbers which divide 51 evenly without leaving any remainder. And, it always will be in a whole number. These are the only numbers that divide 51 exactly.
Negative Factors of 51: Negative Factors of 51 are -1, -3, -17, -51.
Prime Factors of 51 : 3 and 17
Prime Factorization of 51 : It is expressed as 3×17
The sum of Factor of 51 : The sum of factors of 51 is 1+3+17+51 =72
How to Find the Factors of 51
To find the factors of 51, students need to divide the original number evenly without leaving a remainder. Some methods are explained below for easy solution of factors-
- Multiplication Method
- Division Method
- Prime Factor and Prime Factorization
- Factor Tree
Finding Factors Using Multiplication Method
Students need to find pairs of numbers that multiply together to give the original number.
Step 1: Check numbers from 2 up to the square root of the number.
Step 2: To each number, find its pair.
1×51 =51
3×17 =51
17×3 =51
51×1 =51
The above are the factors of 51 are 1, 3, 17, 51.
This method is a process of systematically multiplying different numbers to get the original number.
Finding Factors of 51 by Division Method
If children need to get the division in a whole number, then both the divisor and the quotient are factors.
Check numbers from 2 up to the square root of 51, where the square root of is 7.14. So, you need to check until 7.
51 / 1 = 51, both 1 and 51 are factors.
51 / 3 = 17, both 3 and 17 are factors.
51 / 4, 5, 6, 7 won’t result in whole numbers.
Then, the factors of 51 will be 1, 3, 17,and 51.
Prime Factors and Prime Factorization
Prime factors are the numbers that divide a given number evenly without a remainder. And, prime factorization is the process of breaking down a number into its prime factors.
Prime Factors of 51 = 3 and 17
Prime Factorization of 51 = 3×17
Factor Tree:
A factor tree is a visual representation of the prime factorization of a number.
= 3 and 17 are the prime building blocks of 51.
Factor Pairs: A factor pair is a combination of two numbers that multiply together to result in a specific value.
Factor a pair of numbers 51 = 1 and 51 =1×51 =51
= 3 and 17 =3×17 =51
The above numbers are the factor pairs for 51, as 51 only holds a few divisors.
Positive Pair Factors = 1 and 51, 3 and 17
Negative Pair Factors = -1 and -51, -3 and -17
Common Mistakes and How to Avoid Them in Factors of 51
Students sometimes used to make mistakes while finding the factors. Understanding the common errors that can occur at the time of calculation.
Mistake 1
Making mistake on odd number
Students used to think that 51 will be an even number and won’t check with divisibility by 2. To overcome this issue, be clear if the number is even or odd and check it is divisible by 2.
Factors of 51 examples
Problem 1
A teacher is organizing 51 students into groups, ensuring that each group has the same number of students. How can the coach divide the students into groups?
1, 3, 17, 51.
Explanation
So, the students divided into:
1 student per group with 51 teams
3 students per group with 17 teams
17 students per group with 3 teams
51 students in a group.
Problem 2
Raj has 51 stones and wants to divide them into bags so that each bag contains the same number of marbles. How can he divide them?
1, 3, 17, 51.
Explanation
1 marble per bag, using 51 bags
3 marbles per bag, using 17 bags
17 marbles per bag, using 3 bags, or
51 marbles in 1 bag.
Problem 3
A teacher has 51 desks to arrange in equal rows for a classroom. How can the desks be arranged?
The factor pairs of 51 are (1, 51), (3, 17)
Explanation
where teacher can arrange the desk in a order of
1 row of 51 desks, or
3 row of 17 desks, or
17 rows of 3 desks, or
51 rows of 1 desk.
FAQs for factors of 51
1.What is the factor tree for 51?
2.What are the multiples of 51?
3.Is 51 a factor or multiples of 17?
4.What is the GCF of 51?
5.Why is 2 not a factor of 51?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 51?
7.What are some fun ways kids in United Kingdom can practice Factors of 51 with numbers?
8.What role do numbers and Factors of 51 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Factors of 51 skills?
Important Glossaries for Factors of 51
- Factor :This is a number that divides another number evenly without leaving any remainder.
- Divisor :It is said to be a number that divides another number evenly without leaving a remainder.
- Composite Number :A number which is greater than one, and it has at least one positive integer other than one and the number itself.
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About BrightChamps in United Kingdom
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.
