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Last updated on December 10th, 2024

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Factors of 51

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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.

Factors of 51 for Vietnamese Students
Professor Greenline from BrightChamps

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
 

Professor Greenline from BrightChamps

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
Professor Greenline from BrightChamps

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

Factors of 51 by multiplication method

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.
 

Professor Greenline from BrightChamps

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.

Factors of 51 by the division method

Then, the factors of 51 will be 1, 3, 17,and 51.

Professor Greenline from BrightChamps

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
 

Professor Greenline from BrightChamps

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
Factors of 51 using factor tree

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Common Mistakes and How to Avoid Them in Factors of 51

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Factors of 51 examples

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Max, the Girl Character from BrightChamps

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?

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Explanation

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Max, the Girl Character from BrightChamps

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?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

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Max, the Girl Character from BrightChamps

Problem 3

A teacher has 51 desks to arrange in equal rows for a classroom. How can the desks be arranged?

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Explanation

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Ray Thinking Deeply About Math Problems

FAQs for factors of 51

1.What is the factor tree for 51?

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2.What are the multiples of 51?

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3.Is 51 a factor or multiples of 17?

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4.What is the GCF of 51?

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5.Why is 2 not a factor of 51?

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6.How can children in Vietnam use numbers in everyday life to understand Factors of 51?

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7.What are some fun ways kids in Vietnam can practice Factors of 51 with numbers?

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8.What role do numbers and Factors of 51 play in helping children in Vietnam develop problem-solving skills?

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9.How can families in Vietnam create number-rich environments to improve Factors of 51 skills?

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Professor Greenline from BrightChamps

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.
Professor Greenline from BrightChamps

About BrightChamps in Vietnam

At BrightChamps, numbers are more than just figures—they unlock countless opportunities! Our mission is to guide children throughout Vietnam in mastering essential math skills, with today’s focus on Factors of 51 and a special highlight on factors—in a way that’s fun, lively, and easy to understand. Whether your child is figuring out the speed of a roller coaster at Suoi Tien Theme Park, keeping score at a local football game, or managing their allowance to buy cool gadgets, strong number skills boost their everyday confidence. Our interactive lessons make learning simple and enjoyable. Since children in Vietnam learn in different styles, we personalize our approach to each child. From Ho Chi Minh City’s vibrant streets to the stunning views of Ha Long Bay, BrightChamps brings math to life across Vietnam. Let’s make factors an exciting part of every child’s learning journey!
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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.

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Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

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