160 LearnersLast updated on May 26th, 2025
Factors of 1011
Factors of 1011 are numbers that can divide 1011 completely without a remainder. We often use factors in activities like organizing events and seating arrangements in our daily lives. In this topic, we will know more about the factors of 1011 and the different methods to find them.
What are the Factors of 1011?
The factors of 1011 are 1, 3, 337, and 1011.
Positive Factors: These are negative counterparts of the positive factors. Positive factors: 1, 3, 337, 1011
Negative Factors: These are negative counterparts of the positive factors.
Negative factors: -1, -3, -337, -1011
Prime Factors: Prime factors are the prime numbers themselves, when multiplied together, give 1011 as the product.
Prime factors: 3, 337
Prime Factorization: Prime factorization involves breaking 1011 into its prime factors.
It is expressed as 3 × 337.
How to Find the Factors of 1011?
There are different methods to find the factors of 1011.
Methods to find the factors of 1011:
- Multiplication Method
- Division Method
- Prime Factor and Prime Factorization
- Factor Tree
This breakdown helps in understanding the various factors of 1011, whether they are positive or negative, as well as how prime factorization works for this number.
Finding Factors Using Multiplication
The multiplication method finds the pair of factors that give 1011 as their product.
Step 1: Find the pair of numbers whose product is 1011.
Step 2: The factors are those numbers, when multiplied, give 1011.
Step 3: Make a list of numbers whose product will be 1011.
A list of numbers whose products are 1011 is given below:
- 1 × 1011 = 1011
- 3 × 337 = 1011
Thus, the factors of 1011 are 1, 3, 337, and 1011.
Finding Factors Using Division Method
The division method finds the numbers that fully divide the given number. The steps are given below:
Step 1: Since every number is divisible by 1, 1 will always be a factor. Example: 1011 ÷ 1 = 1011
Step 2: Move to the next integer. The factors of the number include the number that is used to divide and the quotient.
Thus, the factors of 1011 are 1, 3, 337, and 1011.
Prime Factors and Prime Factorization
Multiplying prime numbers to get the given number as their product is called prime factors. A number when simplified using the factors of that number and expressed in the form of prime factors is the prime factorization of the number.
Prime Factors of 1011: Number 1011 has only two prime factors.
Prime factors of 1011: 3, 337
To find the prime factors of 1011, we can divide 1011 with the prime numbers like 3 and 337 from the list of factors of 1011.
Step 1: Divide 1011 with the prime number 3.
1011 ÷ 3 = 337
Step 2: Divide 337 with the prime number 337.
337 ÷ 337 = 1
Prime Factorization of 1011: Prime Factorization breaks down the prime factors of 1011.
Expressed as 3 × 337
Factor Tree
The prime factorization is visually represented using the factor tree. It helps to understand the process easily.
This tree shows the breakdown of 1011 into its prime factors: 3 × 337.
In this factor tree, each branch splits into prime factors.
Factors of 1011 can be written in both positive pairs and negative pairs. They are like team members. Their product will be equal to the number given.
Positive Factor Pairs: (1, 1011), (3, 337)
Negative Factor Pairs: (-1, -1011), (-3, -337)
Common Mistakes and How to Avoid Them in Factors of 1011
Mistakes can occur while finding the factors. Learn about the common errors that can occur. Solutions to solve the common mistakes are given below.
Mistake 1
Assuming 3 as the only factor of 1011
Since numbers that are divisible by 3 include 1011, it’s important to note that other factors like 337 and 1 also exist.
Factors of 1011 Examples
Problem 1
Can you check whether 75 and 1011 are co-prime?
No, 75 and 1011 are not co-prime
Explanation
To check whether two numbers are co-prime, list their factors first.
Once you have listed the factors, identify the common factors and determine the GCF.If the GCF is greater than 1, then the numbers are not co-prime.
Factors of 75: 1, 3, 5, 15, 25, 75
Factors of 1011: 1, 3, 337, 1011
Here, the GCF is 3. So, 75 and 1011 are not co-prime.
For co-prime, the GCF of numbers should be 1.
Problem 2
Verify whether 1011 is a multiple of 3
Yes, 1011 is a multiple of 3
Explanation
To check if a number is a multiple of 3, sum its digits and check if the result is divisible by 3.
The sum of the digits of 1011 is 1 + 0 + 1 + 1 = 3, which is divisible by 3.
So, 1011 is a multiple of 3.
Problem 3
Identify the perfect square from the factors of 1011
The perfect square factor of 1011 is 1
Explanation
A perfect square is a number that can be expressed as the product of the same number multiplied by itself.
In the factors of 1011, the only perfect square is 1 (1 × 1).
Problem 4
Is 1011 divisible by 337?
Yes, 1011 is divisible by 337
Explanation
To check divisibility, divide 1011 by 337.
1011 ÷ 337 = 3, with no remainder.
Since there is no remainder, 1011 is divisible by 337.
Problem 5
List all the factors of 1011
The factors of 1011 are 1, 3, 337, and 1011
Explanation
The factors of a number are the integers that divide the number without leaving a remainder.
For 1011, the factors are:
1 × 1011 = 1011
3 × 337 = 1011
Thus, the complete set of factors for 1011 is 1, 3, 337, and 1011.
FAQs on Factors of 1011
1.What are the factors of 1011?
2.How do you determine if a number is a factor of 1011?
3.What is the smallest factor of 1011?
4.What is the largest factor of 1011?
5.How many factors does 1011 have?
6.How many odd factors does 1011 have?
7.What factors go into 1011?
8.Do any perfect squares exist in the factors of 1011?
Important glossaries for the Factors of 1011
- Factors: Numbers that divide a given number completely, leaving no remainder.
- Prime Factors: Prime numbers that, when multiplied together, give the product as the original number.
- Prime Factorization: The process of expressing a number as the product of its prime factors.
- Perfect Square: A number that is the product of an integer multiplied by itself (e.g., 1 × 1, 4 × 4).
- Multiple: A number obtained when another number is multiplied by an intege
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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.
