Factors of 649
Factors of 649 are the list of integers that we can split evenly into 649. It has a total of 4 factors of which 649 is the biggest factor and the positive factors of 649 are 1, 11, 59, 649. The sum of all factors of 649 is 720. Its Prime Factors are 11 × 59 and (1, 649), (11, 59) are Pair Factors.
- All Factors of 649: 1, 11, 59 and 649
- Negative Factors of 649: -1, -11, -59 and -649
- Prime Factors of 649: 11, 59
- Prime Factorization of 649: 111 × 591
- Sum of Factors of 649: 720
1. | What Are the Factors of 649? |
2. | Factors of 649 by Prime Factorization |
3. | Factors of 649 in Pairs |
4. | FAQs on Factors of 649 |
What are Factors of 649?
Factors of 649 are pairs of those numbers whose products result in 649. These factors are either prime numbers or composite numbers.
How to Find the Factors of 649?
To find the factors of 649, we will have to find the list of numbers that would divide 649 without leaving any remainder.
- 649/11 = 59; therefore, 11 is a factor of 649 and 59 is also a factor of 649.
- 649/1 = 649; therefore, 1 is a factor of 649 and 649 is also a factor of 649.
☛ Also Check:
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- Factors of 39 - The factors of 39 are 1, 3, 13, 39
- Factors of 28 - The factors of 28 are 1, 2, 4, 7, 14, 28
- Factors of 22 - The factors of 22 are 1, 2, 11, 22
- Factors of 98 - The factors of 98 are 1, 2, 7, 14, 49, 98
Factors of 649 by Prime Factorization
- 649 ÷ 11 = 59
Further dividing 59 by 11 gives a non-zero remainder. So we stop the process and continue dividing the number 59 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 649 can be written as 111 × 591 where 11, 59 are prime.
Factors of 649 in Pairs
Pair factors of 649 are the pairs of numbers that when multiplied give the product 649. The factors of 649 in pairs are:
- 1 × 649 = (1, 649)
- 11 × 59 = (11, 59)
Negative pair factors of 649 are:
- -1 × -649 = (-1, -649)
- -11 × -59 = (-11, -59)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 649 Solved Examples
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Example 1: How many factors are there for 649?
Solution:
The factors of 649 are 1, 11, 59, 649. Therefore, 649 has 4 factors.
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Example 2: Find the Least Common Multiple and Highest Common Factor (HCF) of 649 and 325.
Solution:
The factors of 649 are 1, 11, 59, 649 and factors of 325 are 1, 5, 13, 25, 65, 325.
Therefore, the Least Common Multiple of 649 and 325 is 210925 and Highest Common Factor (HCF) of 649 and 325 is 1. -
Example 3: Find if 59, 244 and 649 are factors of 649.
Solution:
When we divide 649 by 244 it leaves a remainder. Therefore, the number 244 is not a factor of 649. All numbers except 244 are factors of 649.
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Example 4: Find the product of all the prime factors of 649.
Solution:
Since, the prime factors of 649 are 11, 59. Therefore, the product of prime factors = 11 × 59 = 649.
FAQs on Factors of 649
What are the Factors of 649?
The factors of 649 are 1, 11, 59, 649 and its negative factors are -1, -11, -59, -649.
What is the Sum of all Factors of 649?
Factors of 649 are 1, 11, 59, 649 and, the sum of all these factors is 1 + 11 + 59 + 649 = 720
What are the Pair Factors of 649?
The pair factors of 649 are (1, 649), (11, 59).
What is the Greatest Common Factor of 649 and 257?
The factors of 649 are 1, 11, 59, 649 and the factors of 257 are 1, 257. 649 and 257 have only one common factor which is 1. This implies that 649 and 257 are co-prime.
Hence, the Greatest Common Factor (GCF) of 649 and 257 is 1.
How Many Factors of 30 are also common to the Factors of 649?
Since, the factors of 649 are 1, 11, 59, 649 and factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30. Hence, 649 and 30 have only one common factor which is 1. Therefore, 649 and 30 are co-prime.
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