Factors of 884
Factors of 884 are the list of integers that we can split evenly into 884. There are overall 12 factors of 884, of which 2, 13, 17 are its prime factors. The Prime Factorization of 884 is 22 × 131 × 171.
- All Factors of 884: 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442 and 884
- Prime Factors of 884: 2, 13, 17
- Prime Factorization of 884: 22 × 131 × 171
- Sum of Factors of 884: 1764
1. | What Are the Factors of 884? |
2. | Factors of 884 by Prime Factorization |
3. | Factors of 884 in Pairs |
4. | FAQs on Factors of 884 |
![Factors of 884](https://static.qumath.in/static/website/old-cdn-static/factors/factors-of-884.png)
What are Factors of 884?
Factors of 884 are pairs of those numbers whose products result in 884. These factors are either prime numbers or composite numbers.
How to Find the Factors of 884?
To find the factors of 884, we will have to find the list of numbers that would divide 884 without leaving any remainder.
- 884/34 = 26; therefore, 34 is a factor of 884 and 26 is also a factor of 884.
- 884/221 = 4; therefore, 221 is a factor of 884 and 4 is also a factor of 884.
☛ Also Check:
- Factors of 48 - The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
- 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 29 - The factors of 29 are 1, 29
- Factors of 31 - The factors of 31 are 1, 31
- Factors of 81 - The factors of 81 are 1, 3, 9, 27, 81
Factors of 884 by Prime Factorization
- 884 ÷ 2 = 442
- 442 ÷ 2 = 221
Further dividing 221 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 221 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 884 can be written as 22 × 131 × 171 where 2, 13, 17 are prime.
Factors of 884 in Pairs
Pair factors of 884 are the pairs of numbers that when multiplied give the product 884. The factors of 884 in pairs are:
- 1 × 884 = (1, 884)
- 2 × 442 = (2, 442)
- 4 × 221 = (4, 221)
- 13 × 68 = (13, 68)
- 17 × 52 = (17, 52)
- 26 × 34 = (26, 34)
Negative pair factors of 884 are:
- -1 × -884 = (-1, -884)
- -2 × -442 = (-2, -442)
- -4 × -221 = (-4, -221)
- -13 × -68 = (-13, -68)
- -17 × -52 = (-17, -52)
- -26 × -34 = (-26, -34)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 884 Solved Examples
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Example 1: How many factors are there for 884?
Solution:
The factors of 884 are too many, therefore if we can find the prime factorization of 884, then the total number of factors can be calculated using the formula shown below.
If the prime factorization of the number is ax × by × cz where a, b, c are prime, then the total number of factors can be given by (x + 1)(y + 1)(z + 1).
Prime Factorization of 884 = 22 × 131 × 171
Therefore, the total number of factors are (2 + 1) × (1 + 1) × (1 + 1) = 3 × 2 × 2 = 12 -
Example 2: Find the Least Common Multiple (LCM) and Greatest Common Factor (GCF) of 884 and 650.
Solution:
The factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884 and factors of 650 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650.
Therefore, the Least Common Multiple (LCM) of 884 and 650 is 22100 and Greatest Common Factor (GCF) of 884 and 650 is 26. -
Example 3: Find if 1, 26, 34, 68, 442, 598 and 884 are factors of 884.
Solution:
When we divide 884 by 598 it leaves a remainder. Therefore, the number 598 is not a factor of 884. All numbers except 598 are factors of 884.
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Example 4: Find the product of all the prime factors of 884.
Solution:
Since, the prime factors of 884 are 2, 13, 17. Therefore, the product of prime factors = 2 × 13 × 17 = 442.
FAQs on Factors of 884
What are the Factors of 884?
The factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884 and its negative factors are -1, -2, -4, -13, -17, -26, -34, -52, -68, -221, -442, -884.
What is the Sum of all Factors of 884?
Sum of all factors of 884 = (22 + 1 - 1)/(2 - 1) × (131 + 1 - 1)/(13 - 1) × (171 + 1 - 1)/(17 - 1) = 1764
What are Pair Factors of 884?
The pair factors of 884 are (1, 884), (2, 442), (4, 221), (13, 68), (17, 52), (26, 34).
What is the Greatest Common Factor of 884 and 285?
The factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884 and the factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285. 884 and 285 have only one common factor which is 1. This implies that 884 and 285 are co-prime.
Hence, the Greatest Common Factor (GCF) of 884 and 285 is 1.
How Many Factors of 884 are also common to the Factors of 581?
Since, the factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884 and factors of 581 are 1, 7, 83, 581. Hence, 884 and 581 have only one common factor which is 1. Therefore, 884 and 581 are co-prime.
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