Factors of 544
Factors of 544 are the list of integers that can be evenly divided into 544. There are overall 12 factors of 544 among which 544 is the biggest factor and 2, 17 are its prime factors. The sum of all factors of 544 is 1134.
- All Factors of 544: 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272 and 544
- Prime Factors of 544: 2, 17
- Prime Factorization of 544: 25 × 171
- Sum of Factors of 544: 1134
1. | What Are the Factors of 544? |
2. | Factors of 544 by Prime Factorization |
3. | Factors of 544 in Pairs |
4. | FAQs on Factors of 544 |
What are Factors of 544?
Factors of 544 are pairs of those numbers whose products result in 544. These factors are either prime numbers or composite numbers.
How to Find the Factors of 544?
To find the factors of 544, we will have to find the list of numbers that would divide 544 without leaving any remainder.
- 544/32 = 17; therefore, 32 is a factor of 544 and 17 is also a factor of 544.
- 544/2 = 272; therefore, 2 is a factor of 544 and 272 is also a factor of 544.
☛ Also Check:
- Factors of 41 - The factors of 41 are 1, 41
- 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 38 - The factors of 38 are 1, 2, 19, 38
- Factors of 65 - The factors of 65 are 1, 5, 13, 65
- Factors of 44 - The factors of 44 are 1, 2, 4, 11, 22, 44
Factors of 544 by Prime Factorization
- 544 ÷ 2 = 272
- 272 ÷ 2 = 136
- 136 ÷ 2 = 68
- 68 ÷ 2 = 34
- 34 ÷ 2 = 17
Further dividing 17 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 17 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 544 can be written as 25 × 171 where 2, 17 are prime.
Factors of 544 in Pairs
Pair factors of 544 are the pairs of numbers that when multiplied give the product 544. The factors of 544 in pairs are:
- 1 × 544 = (1, 544)
- 2 × 272 = (2, 272)
- 4 × 136 = (4, 136)
- 8 × 68 = (8, 68)
- 16 × 34 = (16, 34)
- 17 × 32 = (17, 32)
Negative pair factors of 544 are:
- -1 × -544 = (-1, -544)
- -2 × -272 = (-2, -272)
- -4 × -136 = (-4, -136)
- -8 × -68 = (-8, -68)
- -16 × -34 = (-16, -34)
- -17 × -32 = (-17, -32)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 544 Solved Examples
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Example 1: How many factors are there for 544?
Solution:
The factors of 544 are too many, therefore if we can find the prime factorization of 544, 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 544 = 25 × 171
Therefore, the total number of factors are (5 + 1) × (1 + 1) = 6 × 2 = 12 -
Example 2: Find the Least Common Multiple and Greatest Common Factor (GCF) of 544 and 330.
Solution:
The factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544 and factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330.
Therefore, the Least Common Multiple of 544 and 330 is 89760 and Greatest Common Factor (GCF) of 544 and 330 is 2. -
Example 3: Find if 4, 8, 16, 17, 68, 74 and 544 are factors of 544.
Solution:
When we divide 544 by 74 it leaves a remainder. Therefore, the number 74 is not a factor of 544. All numbers except 74 are factors of 544.
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Example 4: Find the product of all the prime factors of 544.
Solution:
Since, the prime factors of 544 are 2, 17. Therefore, the product of prime factors = 2 × 17 = 34.
FAQs on Factors of 544
What are the Factors of 544?
The factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544 and its negative factors are -1, -2, -4, -8, -16, -17, -32, -34, -68, -136, -272, -544.
What is the Sum of all the Factors of 544?
Sum of all factors of 544 = (25 + 1 - 1)/(2 - 1) × (171 + 1 - 1)/(17 - 1) = 1134
What are the Prime Factors of 544?
The prime factors of 544 are 2, 17.
What is the Greatest Common Factor of 544 and 233?
The factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544 and the factors of 233 are 1, 233. 544 and 233 have only one common factor which is 1. This implies that 544 and 233 are co-prime.
Hence, the Greatest Common Factor (GCF) of 544 and 233 is 1.
How Many Factors of 544 are also Factors of 411?
Since, the factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544 and factors of 411 are 1, 3, 137, 411. Hence, 544 and 411 have only one common factor which is 1. Therefore, 544 and 411 are co-prime.
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