Factors of 1011
Factors of 1011 are numbers that, when multiplied in pairs give the product as 1011. There are overall 4 factors of 1011 i.e. 1, 3, 337, 1011 where 1011 is the biggest factor. The sum of all factors of 1011 is 1352. Its Prime Factors are 3 × 337 and (1, 1011), (3, 337) are Pair Factors.
- All Factors of 1011: 1, 3, 337 and 1011
- Negative Factors of 1011: -1, -3, -337 and -1011
- Prime Factors of 1011: 3, 337
- Prime Factorization of 1011: 31 × 3371
- Sum of Factors of 1011: 1352
1. | What Are the Factors of 1011? |
2. | Factors of 1011 by Prime Factorization |
3. | Factors of 1011 in Pairs |
4. | FAQs on Factors of 1011 |

What are Factors of 1011?
Factors of 1011 are pairs of those numbers whose products result in 1011. These factors are either prime numbers or composite numbers.
How to Find the Factors of 1011?
To find the factors of 1011, we will have to find the list of numbers that would divide 1011 without leaving any remainder.
- 1011/337 = 3; therefore, 337 is a factor of 1011 and 3 is also a factor of 1011.
- 1011/1 = 1011; therefore, 1 is a factor of 1011 and 1011 is also a factor of 1011.
☛ Also Check:
- Factors of 30 - The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
- Factors of 72 - The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
- Factors of 27 - The factors of 27 are 1, 3, 9, 27
- Factors of 52 - The factors of 52 are 1, 2, 4, 13, 26, 52
- Factors of 56 - The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56
Factors of 1011 by Prime Factorization
- 1011 ÷ 3 = 337
Further dividing 337 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 337 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.
So, the prime factorization of 1011 can be written as 31 × 3371 where 3, 337 are prime.
Factors of 1011 in Pairs
Pair factors of 1011 are the pairs of numbers that when multiplied give the product 1011. The factors of 1011 in pairs are:
- 1 × 1011 = (1, 1011)
- 3 × 337 = (3, 337)
Negative pair factors of 1011 are:
- -1 × -1011 = (-1, -1011)
- -3 × -337 = (-3, -337)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 1011 Solved Examples
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Example 1: How many factors are there for 1011?
Solution:
The factors of 1011 are 1, 3, 337, 1011. Therefore, 1011 has 4 factors.
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Example 2: Find the Least Common Multiple and Greatest Common Divisor (GCD) of 1011 and 200.
Solution:
The factors of 1011 are 1, 3, 337, 1011 and factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200.
Therefore, the Least Common Multiple of 1011 and 200 is 202200 and Greatest Common Divisor (GCD) of 1011 and 200 is 1. -
Example 3: Find if 3, 894 and 1011 are factors of 1011.
Solution:
When we divide 1011 by 894 it leaves a remainder. Therefore, the number 894 is not a factor of 1011. All numbers except 894 are factors of 1011.
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Example 4: Find the product of all the prime factors of 1011.
Solution:
Since, the prime factors of 1011 are 3, 337. Therefore, the product of prime factors = 3 × 337 = 1011.
FAQs on Factors of 1011
What are the Factors of 1011?
The factors of 1011 are 1, 3, 337, 1011 and its negative factors are -1, -3, -337, -1011.
What is the Sum of all Factors of 1011?
All the Factors of 1011 are 1, 3, 337, 1011 and therefore the sum of all these factors is 1 + 3 + 337 + 1011 = 1352
What are Prime Factors of 1011?
The prime factors of 1011 are 3, 337.
What is the Greatest Common Factor of 1011 and 696?
The factors of 1011 and 696 are 1, 3, 337, 1011 and 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696 respectively.
Common factors of 1011 and 696 are [1, 3].
Hence, the Greatest Common Factor of 1011 and 696 is 3.
How Many Factors of 1011 are also common to the Factors of 305?
Since, the factors of 1011 are 1, 3, 337, 1011 and factors of 305 are 1, 5, 61, 305. Hence, 1011 and 305 have only one common factor which is 1. Therefore, 1011 and 305 are co-prime.
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