110 LearnersLast updated on May 26th, 2025
Factors of 651
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 651, how they are used in real life, and tips to learn them quickly.
What are the Factors of 651?
The numbers that divide 651 evenly are known as factors of 651. A factor of 651 is a number that divides the number without remainder. The factors of 651 are 1, 3, 217, and 651.
Negative factors of 651: -1, -3, -217, and -651.
Prime factors of 651: 3 and 217.
Prime factorization of 651: 3 × 217.
The sum of factors of 651: 1 + 3 + 217 + 651 = 872
How to Find Factors of 651?
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 651. Identifying the numbers which are multiplied to get the number 651 is the multiplication method.
Step 1: Multiply 651 by 1, 651 × 1 = 651.
Step 2: Check for other numbers that give 651 after multiplying 3 × 217 = 651
Therefore, the positive factor pairs of 651 are: (1, 651) and (3, 217). All these factor pairs result in 651. 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 651 by 1, 651 ÷ 1 = 651.
Step 2: Continue dividing 651 by the numbers until the remainder becomes 0.
651 ÷ 1 = 651
651 ÷ 3 = 217
Therefore, the factors of 651 are: 1, 3, 217, 651.
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 651 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
651 ÷ 3 = 217
217 is a prime number, so it cannot be further divided by any number other than 1 and 217.
The prime factors of 651 are 3 and 217. The prime factorization of 651 is: 3 × 217.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 651 is divided by 3 to get 217. 217 is a prime number and cannot be divided further. So, the prime factorization of 651 is: 3 × 217.
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 651: (1, 651) and (3, 217).
- Negative factor pairs of 651: (-1, -651) and (-3, -217).
Common Mistakes and How to Avoid Them in Factors of 651
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 651, 1 and 651 is also a factor.
Factors of 651 Examples
Problem 1
A gardener has 651 plants and wants to arrange them in rows of 3. How many rows will there be?
There will be 217 rows.
Explanation
To find the number of rows, divide the total number of plants by the number of plants per row.
651/3 = 217
Problem 2
A library has 651 books, and each shelf holds 217 books. How many shelves are needed?
3 shelves are needed.
Explanation
To find the number of shelves, divide the total number of books by the number of books per shelf.
651/217 = 3
Problem 3
A company has 651 employees and wants to form teams of 3. How many teams can be formed?
217 teams can be formed.
Explanation
To find the number of teams, divide the total number of employees by the number of employees per team.
651/3 = 217
Problem 4
There are 651 apples to place into baskets, each holding 1 apple. How many baskets are needed?
651 baskets are needed.
Explanation
To find the number of baskets, simply consider that each apple goes into one basket.
651/1 = 651
Problem 5
A stadium has 651 seats, divided into sections of 3 seats each. How many sections are there?
There are 217 sections.
Explanation
To find the number of sections, divide the total number of seats by the number of seats per section.
651/3 = 217
FAQs on Factors of 651
1.What are the factors of 651?
2.Mention the prime factors of 651.
3.Is 651 a multiple of 3?
4.Mention the factor pairs of 651?
5.What is the square of 651?
Important Glossaries for Factor of 651
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 651 are 1, 3, 217, and 651.
- Prime factors: The factors which are prime numbers. For example, 3 and 217 are prime factors of 651.
- 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 651 are (1, 651) and (3, 217).
- Prime Factorization: The process of finding which prime numbers multiply together to make the original number. For 651, it is 3 × 217.
- Multiple: A number that can be divided by another number without a remainder. For example, 651 is a multiple of 3.
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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.
Fun Fact
: She loves to read number jokes and games.
