Factors of 534
Factors of 534 are the list of integers that can be evenly divided into 534. There are 8 factors of 534 of which 534 itself is the biggest factor and its positive factors are 1, 2, 3, 6, 89, 178, 267, 534. The Prime Factors and Pair Factors of 534 are 2 × 3 × 89 and (1, 534), (2, 267), (3, 178), (6, 89) respectively.
- All Factors of 534: 1, 2, 3, 6, 89, 178, 267 and 534
- Negative Factors of 534: -1, -2, -3, -6, -89, -178, -267 and -534
- Prime Factors of 534: 2, 3, 89
- Prime Factorization of 534: 21 × 31 × 891
- Sum of Factors of 534: 1080
1. | What Are the Factors of 534? |
2. | Factors of 534 by Prime Factorization |
3. | Factors of 534 in Pairs |
4. | FAQs on Factors of 534 |
What are Factors of 534?
Factors of 534 are pairs of those numbers whose products result in 534. These factors are either prime numbers or composite numbers.
How to Find the Factors of 534?
To find the factors of 534, we will have to find the list of numbers that would divide 534 without leaving any remainder.
- 534/2 = 267; therefore, 2 is a factor of 534 and 267 is also a factor of 534.
- 534/6 = 89; therefore, 6 is a factor of 534 and 89 is also a factor of 534.
☛ Also Check:
- Factors of 12 - The factors of 12 are 1, 2, 3, 4, 6, 12
- Factors of 40 - The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40
- Factors of 66 - The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
- Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
- Factors of 70 - The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
Factors of 534 by Prime Factorization
- 534 ÷ 2 = 267
Further dividing 267 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 267 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 534 can be written as 21 × 31 × 891 where 2, 3, 89 are prime.
Factors of 534 in Pairs
Pair factors of 534 are the pairs of numbers that when multiplied give the product 534. The factors of 534 in pairs are:
- 1 × 534 = (1, 534)
- 2 × 267 = (2, 267)
- 3 × 178 = (3, 178)
- 6 × 89 = (6, 89)
Negative pair factors of 534 are:
- -1 × -534 = (-1, -534)
- -2 × -267 = (-2, -267)
- -3 × -178 = (-3, -178)
- -6 × -89 = (-6, -89)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 534 Solved Examples
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Example 1: How many factors are there for 534?
Solution:
The factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534. Therefore, 534 has 8 factors.
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Example 2: Find the LCM and Highest Common Factor (HCF) of 534 and 145.
Solution:
The factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534 and factors of 145 are 1, 5, 29, 145.
Therefore, the LCM of 534 and 145 is 77430 and Highest Common Factor (HCF) of 534 and 145 is 1. -
Example 3: Find if 2, 89, 178, 267 and 316 are factors of 534.
Solution:
When we divide 534 by 316 it leaves a remainder. Therefore, the number 316 is not a factor of 534. All numbers except 316 are factors of 534.
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Example 4: Find the product of all the prime factors of 534.
Solution:
Since, the prime factors of 534 are 2, 3, 89. Therefore, the product of prime factors = 2 × 3 × 89 = 534.
FAQs on Factors of 534
What are the Factors of 534?
The factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534 and its negative factors are -1, -2, -3, -6, -89, -178, -267, -534.
What is the Sum of the Factors of 534?
Sum of all factors of 534 = (21 + 1 - 1)/(2 - 1) × (31 + 1 - 1)/(3 - 1) × (891 + 1 - 1)/(89 - 1) = 1080
What numbers are the Pair Factors of 534?
The pair factors of 534 are (1, 534), (2, 267), (3, 178), (6, 89).
What is the Greatest Common Factor of 534 and 489?
The factors of 534 and 489 are 1, 2, 3, 6, 89, 178, 267, 534 and 1, 3, 163, 489 respectively.
Common factors of 534 and 489 are [1, 3].
Hence, the Greatest Common Factor (GCF) of 534 and 489 is 3.
What are the Common Factors of 534 and 391?
Since, the factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534 and factors of 391 are 1, 17, 23, 391. Hence, 534 and 391 have only one common factor which is 1. Therefore, 534 and 391 are co-prime.
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