Factors of 4489
Factors of 4489 are the list of integers that we can split evenly into 4489. It has a total of 3 factors of which 4489 is the biggest factor and the positive factors of 4489 are 1, 67, 4489. The sum of all factors of 4489 is 4557. Its Prime Factors are 67 and (1, 4489), (67, 67) are Pair Factors.
- All Factors of 4489: 1, 67 and 4489
- Negative Factors of 4489: -1, -67 and -4489
- Prime Factors of 4489: 67
- Prime Factorization of 4489: 672
- Sum of Factors of 4489: 4557
1. | What Are the Factors of 4489? |
2. | Factors of 4489 by Prime Factorization |
3. | Factors of 4489 in Pairs |
4. | FAQs on Factors of 4489 |
What are Factors of 4489?
Factors of 4489 are pairs of those numbers whose products result in 4489. These factors are either prime numbers or composite numbers.
How to Find the Factors of 4489?
To find the factors of 4489, we will have to find the list of numbers that would divide 4489 without leaving any remainder.
- 4489/67 = 67; therefore, 67 is a factor of 4489.
- 4489/1 = 4489; therefore, 1 is a factor of 4489 and 4489 is also a factor of 4489.
☛ Also Check:
- Factors of 66 - The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
- Factors of 22 - The factors of 22 are 1, 2, 11, 22
- Factors of 121 - The factors of 121 are 1, 11, 121
- Factors of 144 - The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
- Factors of 38 - The factors of 38 are 1, 2, 19, 38
Factors of 4489 by Prime Factorization
- 4489 ÷ 67 = 67
- 67 ÷ 67 = 1
Further dividing 1 by 67 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 4489 is 672.
Factors of 4489 in Pairs
Pair factors of 4489 are the pairs of numbers that when multiplied give the product 4489. The factors of 4489 in pairs are:
- 1 × 4489 = (1, 4489)
- 67 × 67 = (67, 67)
Negative pair factors of 4489 are:
- -1 × -4489 = (-1, -4489)
- -67 × -67 = (-67, -67)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 4489 Solved Examples
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Example 1: How many factors are there for 4489?
Solution:
The factors of 4489 are 1, 67, 4489. Therefore, 4489 has 3 factors.
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Example 2: Find the Least Common Multiple and Greatest Common Factor (GCF) of 4489 and 1697.
Solution:
The factors of 4489 are 1, 67, 4489 and factors of 1697 are 1, 1697.
Therefore, the Least Common Multiple of 4489 and 1697 is 7617833 and Greatest Common Factor (GCF) of 4489 and 1697 is 1. -
Example 3: Find if 67 and 4411 are factors of 4489.
Solution:
When we divide 4489 by 4411 it leaves a remainder. Therefore, the number 4411 is not a factor of 4489. All numbers except 4411 are factors of 4489.
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Example 4: Find the product of all the prime factors of 4489.
Solution:
Since, the prime factor of 4489 is 67. Therefore, the product of prime factors = 67.
FAQs on Factors of 4489
What are the Factors of 4489?
The factors of 4489 are 1, 67, 4489 and its negative factors are -1, -67, -4489.
What is the Sum of the Factors of 4489?
All the Factors of 4489 are 1, 67, 4489 and therefore the sum of all these factors is 1 + 67 + 4489 = 4557
What are the Pair Factors of 4489?
The pair factors of 4489 are (1, 4489), (67, 67).
What is the Greatest Common Factor of 4489 and 3889?
The factors of 4489 are 1, 67, 4489 and the factors of 3889 are 1, 3889. 4489 and 3889 have only one common factor which is 1. This implies that 4489 and 3889 are co-prime.
Hence, the Greatest Common Factor (GCF) of 4489 and 3889 is 1.
How Many Factors of 774 are also common to the Factors of 4489?
Since, the factors of 4489 are 1, 67, 4489 and factors of 774 are 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774. Hence, 4489 and 774 have only one common factor which is 1. Therefore, 4489 and 774 are co-prime.
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