Factors of 2012
Factors of 2012 are integers that can be divided evenly into 2012. There are 6 factors of 2012 of which 2012 itself is the biggest factor and its positive factors are 1, 2, 4, 503, 1006, 2012. The Pair Factors of 2012 are (1, 2012), (2, 1006), (4, 503) and its Prime Factors are 2 × 503.
- All Factors of 2012: 1, 2, 4, 503, 1006 and 2012
- Negative Factors of 2012: -1, -2, -4, -503, -1006 and -2012
- Prime Factors of 2012: 2, 503
- Prime Factorization of 2012: 22 × 5031
- Sum of Factors of 2012: 3528
1. | What Are the Factors of 2012? |
2. | Factors of 2012 by Prime Factorization |
3. | Factors of 2012 in Pairs |
4. | FAQs on Factors of 2012 |

What are Factors of 2012?
Factors of 2012 are pairs of those numbers whose products result in 2012. These factors are either prime numbers or composite numbers.
How to Find the Factors of 2012?
To find the factors of 2012, we will have to find the list of numbers that would divide 2012 without leaving any remainder.
- 2012/4 = 503; therefore, 4 is a factor of 2012 and 503 is also a factor of 2012.
- 2012/2 = 1006; therefore, 2 is a factor of 2012 and 1006 is also a factor of 2012.
☛ Also Check:
- Factors of 180 - The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
- Factors of 28 - The factors of 28 are 1, 2, 4, 7, 14, 28
- Factors of 19 - The factors of 19 are 1, 19
- Factors of 5 - The factors of 5 are 1, 5
- Factors of 72 - The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Factors of 2012 by Prime Factorization
- 2012 ÷ 2 = 1006
- 1006 ÷ 2 = 503
Further dividing 503 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 503 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 2012 can be written as 22 × 5031 where 2, 503 are prime.
Factors of 2012 in Pairs
Pair factors of 2012 are the pairs of numbers that when multiplied give the product 2012. The factors of 2012 in pairs are:
- 1 × 2012 = (1, 2012)
- 2 × 1006 = (2, 1006)
- 4 × 503 = (4, 503)
Negative pair factors of 2012 are:
- -1 × -2012 = (-1, -2012)
- -2 × -1006 = (-2, -1006)
- -4 × -503 = (-4, -503)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 2012 Solved Examples
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Example 1: How many factors are there for 2012?
Solution:
The factors of 2012 are 1, 2, 4, 503, 1006, 2012. Therefore, 2012 has 6 factors.
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Example 2: Find the Least Common Multiple (LCM) and Greatest Common Factor (GCF) of 2012 and 925.
Solution:
The factors of 2012 are 1, 2, 4, 503, 1006, 2012 and factors of 925 are 1, 5, 25, 37, 185, 925.
Therefore, the Least Common Multiple (LCM) of 2012 and 925 is 1861100 and Greatest Common Factor (GCF) of 2012 and 925 is 1. -
Example 3: Find if 2, 324, 1006 and 2012 are factors of 2012.
Solution:
When we divide 2012 by 324 it leaves a remainder. Therefore, the number 324 is not a factor of 2012. All numbers except 324 are factors of 2012.
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Example 4: Find the product of all the prime factors of 2012.
Solution:
Since, the prime factors of 2012 are 2, 503. Therefore, the product of prime factors = 2 × 503 = 1006.
FAQs on Factors of 2012
What are the Factors of 2012?
The factors of 2012 are 1, 2, 4, 503, 1006, 2012 and its negative factors are -1, -2, -4, -503, -1006, -2012.
What is the Sum of all Factors of 2012?
Factors of 2012 are 1, 2, 4, 503, 1006, 2012 and, the sum of all these factors is 1 + 2 + 4 + 503 + 1006 + 2012 = 3528
What Numbers are the Prime Factors of 2012?
The prime factors of 2012 are 2, 503.
What is the Greatest Common Factor of 2012 and 705?
The factors of 2012 are 1, 2, 4, 503, 1006, 2012 and the factors of 705 are 1, 3, 5, 15, 47, 141, 235, 705. 2012 and 705 have only one common factor which is 1. This implies that 2012 and 705 are co-prime.
Hence, the Greatest Common Factor (GCF) of 2012 and 705 is 1.
How Many Factors of 1119 are also common to the Factors of 2012?
Since, the factors of 2012 are 1, 2, 4, 503, 1006, 2012 and factors of 1119 are 1, 3, 373, 1119. Hence, 2012 and 1119 have only one common factor which is 1. Therefore, 2012 and 1119 are co-prime.
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