Factors of 671
Factors of 671 are the list of integers that we can split evenly into 671. There are overall 4 factors of 671 among which 671 is the biggest factor and its positive factors are 1, 11, 61, 671. The Prime Factors of 671 are 11 × 61 and its Factors in Pairs are (1, 671), (11, 61).
- All Factors of 671: 1, 11, 61 and 671
- Negative Factors of 671: -1, -11, -61 and -671
- Prime Factors of 671: 11, 61
- Prime Factorization of 671: 111 × 611
- Sum of Factors of 671: 744
1. | What Are the Factors of 671? |
2. | Factors of 671 by Prime Factorization |
3. | Factors of 671 in Pairs |
4. | FAQs on Factors of 671 |
What are Factors of 671?
Factors of 671 are pairs of those numbers whose products result in 671. These factors are either prime numbers or composite numbers.
How to Find the Factors of 671?
To find the factors of 671, we will have to find the list of numbers that would divide 671 without leaving any remainder.
- 671/61 = 11; therefore, 61 is a factor of 671 and 11 is also a factor of 671.
- 671/671 = 1; therefore, 671 is a factor of 671 and 1 is also a factor of 671.
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- Factors of 121 - The factors of 121 are 1, 11, 121
- Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20
- Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
- Factors of 19 - The factors of 19 are 1, 19
Factors of 671 by Prime Factorization
- 671 ÷ 11 = 61
Further dividing 61 by 11 gives a non-zero remainder. So we stop the process and continue dividing the number 61 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 671 can be written as 111 × 611 where 11, 61 are prime.
Factors of 671 in Pairs
Pair factors of 671 are the pairs of numbers that when multiplied give the product 671. The factors of 671 in pairs are:
- 1 × 671 = (1, 671)
- 11 × 61 = (11, 61)
Negative pair factors of 671 are:
- -1 × -671 = (-1, -671)
- -11 × -61 = (-11, -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 671 Solved Examples
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Example 1: How many factors are there for 671?
Solution:
The factors of 671 are 1, 11, 61, 671. Therefore, 671 has 4 factors.
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Example 2: Find the Least Common Multiple (LCM) and Greatest Common Divisor (GCD) of 671 and 66.
Solution:
The factors of 671 are 1, 11, 61, 671 and factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66.
Therefore, the Least Common Multiple (LCM) of 671 and 66 is 4026 and Greatest Common Divisor (GCD) of 671 and 66 is 11. -
Example 3: Find if 1, 649 and 671 are factors of 671.
Solution:
When we divide 671 by 649 it leaves a remainder. Therefore, the number 649 is not a factor of 671. All numbers except 649 are factors of 671.
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Example 4: Find the product of all the prime factors of 671.
Solution:
Since, the prime factors of 671 are 11, 61. Therefore, the product of prime factors = 11 × 61 = 671.
FAQs on Factors of 671
What are the Factors of 671?
The factors of 671 are 1, 11, 61, 671 and its negative factors are -1, -11, -61, -671.
What is the Sum of the Factors of 671?
All the Factors of 671 are 1, 11, 61, 671 and therefore the sum of all these factors is 1 + 11 + 61 + 671 = 744
What are the Prime Factors of 671?
The prime factors of 671 are 11, 61.
What is the Greatest Common Factor of 671 and 265?
The factors of 671 are 1, 11, 61, 671 and the factors of 265 are 1, 5, 53, 265. 671 and 265 have only one common factor which is 1. This implies that 671 and 265 are co-prime.
Hence, the Greatest Common Factor (GCF) of 671 and 265 is 1.
How Many Factors of 671 are also common to the Factors of 593?
Since, the factors of 671 are 1, 11, 61, 671 and factors of 593 are 1, 593. Hence, 671 and 593 have only one common factor which is 1. Therefore, 671 and 593 are co-prime.
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