Factors of 3721
Factors of 3721 are integers that can be divided evenly into 3721. There are total 3 factors of 3721 i.e. 1, 61, 3721. The sum of all factors of 3721 is 3783 and its factors in Pairs are (1, 3721), (61, 61).
- All Factors of 3721: 1, 61 and 3721
- Negative Factors of 3721: -1, -61 and -3721
- Prime Factors of 3721: 61
- Prime Factorization of 3721: 612
- Sum of Factors of 3721: 3783
1. | What Are the Factors of 3721? |
2. | Factors of 3721 by Prime Factorization |
3. | Factors of 3721 in Pairs |
4. | FAQs on Factors of 3721 |

What are Factors of 3721?
Factors of 3721 are pairs of those numbers whose products result in 3721. These factors are either prime numbers or composite numbers.
How to Find the Factors of 3721?
To find the factors of 3721, we will have to find the list of numbers that would divide 3721 without leaving any remainder.
- 3721/61 = 61; therefore, 61 is a factor of 3721.
- 3721/1 = 3721; therefore, 1 is a factor of 3721 and 3721 is also a factor of 3721.
☛ Also Check:
- Factors of 51 - The factors of 51 are 1, 3, 17, 51
- Factors of 35 - The factors of 35 are 1, 5, 7, 35
- Factors of 21 - The factors of 21 are 1, 3, 7, 21
- Factors of 13 - The factors of 13 are 1, 13
- Factors of 72 - The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Factors of 3721 by Prime Factorization
- 3721 ÷ 61 = 61
- 61 ÷ 61 = 1
Further dividing 1 by 61 gives a non-zero remainder. So we stop the process and continue dividing the number 1 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.
Since, we can't divide any further in this case so we stop.
So, the prime factorization of 3721 is 612.
Factors of 3721 in Pairs
Pair factors of 3721 are the pairs of numbers that when multiplied give the product 3721. The factors of 3721 in pairs are:
- 1 × 3721 = (1, 3721)
- 61 × 61 = (61, 61)
Negative pair factors of 3721 are:
- -1 × -3721 = (-1, -3721)
- -61 × -61 = (-61, -61)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 3721 Solved Examples
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Example 1: How many factors are there for 3721?
Solution:
The factors of 3721 are 1, 61, 3721. Therefore, 3721 has 3 factors.
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Example 2: Find the LCM and Greatest Common Divisor (GCD) of 3721 and 791.
Solution:
The factors of 3721 are 1, 61, 3721 and factors of 791 are 1, 7, 113, 791.
Therefore, the LCM of 3721 and 791 is 2943311 and Greatest Common Divisor (GCD) of 3721 and 791 is 1. -
Example 3: Find if 1 and 1783 are factors of 3721.
Solution:
When we divide 3721 by 1783 it leaves a remainder. Therefore, the number 1783 is not a factor of 3721. All numbers except 1783 are factors of 3721.
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Example 4: Find the product of all the prime factors of 3721.
Solution:
Since, the prime factor of 3721 is 61. Therefore, the product of prime factors = 61.
FAQs on Factors of 3721
What are the Factors of 3721?
The factors of 3721 are 1, 61, 3721 and its negative factors are -1, -61, -3721.
What is the Sum of Factors of 3721?
Factors of 3721 are 1, 61, 3721 and, the sum of all these factors is 1 + 61 + 3721 = 3783
What numbers are the Pair Factors of 3721?
The pair factors of 3721 are (1, 3721), (61, 61).
What is the Greatest Common Factor of 3721 and 2699?
The factors of 3721 are 1, 61, 3721 and the factors of 2699 are 1, 2699. 3721 and 2699 have only one common factor which is 1. This implies that 3721 and 2699 are co-prime.
Hence, the Greatest Common Factor (GCF) of 3721 and 2699 is 1.
How Many Factors of 3721 are also common to the Factors of 2382?
Since, the factors of 3721 are 1, 61, 3721 and factors of 2382 are 1, 2, 3, 6, 397, 794, 1191, 2382. Hence, 3721 and 2382 have only one common factor which is 1. Therefore, 3721 and 2382 are co-prime.
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