Factors of 483
Factors of 483 are integers that can be divided evenly into 483. There are 8 factors of 483 of which 483 itself is the biggest factor and its positive factors are 1, 3, 7, 21, 23, 69, 161, 483. The Pair Factors of 483 are (1, 483), (3, 161), (7, 69), (21, 23) and its Prime Factors are 3 × 7 × 23.
- All Factors of 483: 1, 3, 7, 21, 23, 69, 161 and 483
- Negative Factors of 483: -1, -3, -7, -21, -23, -69, -161 and -483
- Prime Factors of 483: 3, 7, 23
- Prime Factorization of 483: 31 × 71 × 231
- Sum of Factors of 483: 768
1. | What Are the Factors of 483? |
2. | Factors of 483 by Prime Factorization |
3. | Factors of 483 in Pairs |
4. | FAQs on Factors of 483 |
What are Factors of 483?
Factors of 483 are pairs of those numbers whose products result in 483. These factors are either prime numbers or composite numbers.
How to Find the Factors of 483?
To find the factors of 483, we will have to find the list of numbers that would divide 483 without leaving any remainder.
- 483/483 = 1; therefore, 483 is a factor of 483.
- 483/23 = 21; therefore, 23 is a factor of 483.
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- Factors of 8 - The factors of 8 are 1, 2, 4, 8
- Factors of 29 - The factors of 29 are 1, 29
- Factors of 66 - The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
- Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
- Factors of 91 - The factors of 91 are 1, 7, 13, 91
Factors of 483 by Prime Factorization
- 483 ÷ 3 = 161
Further dividing 161 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 161 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 483 can be written as 31 × 71 × 231 where 3, 7, 23 are prime.
Factors of 483 in Pairs
Pair factors of 483 are the pairs of numbers that when multiplied give the product 483. The factors of 483 in pairs are:
- 1 × 483 = (1, 483)
- 3 × 161 = (3, 161)
- 7 × 69 = (7, 69)
- 21 × 23 = (21, 23)
Negative pair factors of 483 are:
- -1 × -483 = (-1, -483)
- -3 × -161 = (-3, -161)
- -7 × -69 = (-7, -69)
- -21 × -23 = (-21, -23)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 483 Solved Examples
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Example 1: How many factors are there for 483?
Solution:
The factors of 483 are 1, 3, 7, 21, 23, 69, 161, 483. Therefore, 483 has 8 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Factor (GCF) of 483 and 25.
Solution:
The factors of 483 are 1, 3, 7, 21, 23, 69, 161, 483 and factors of 25 are 1, 5, 25.
Therefore, the Lowest Common Multiple (LCM) of 483 and 25 is 12075 and Greatest Common Factor (GCF) of 483 and 25 is 1. -
Example 3: Find if 21, 69, 161, 321 and 483 are factors of 483.
Solution:
When we divide 483 by 321 it leaves a remainder. Therefore, the number 321 is not a factor of 483. All numbers except 321 are factors of 483.
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Example 4: Find the product of all the prime factors of 483.
Solution:
Since, the prime factors of 483 are 3, 7, 23. Therefore, the product of prime factors = 3 × 7 × 23 = 483.
FAQs on Factors of 483
What are the Factors of 483?
The factors of 483 are 1, 3, 7, 21, 23, 69, 161, 483 and its negative factors are -1, -3, -7, -21, -23, -69, -161, -483.
What is the Sum of the Factors of 483?
Sum of all factors of 483 = (31 + 1 - 1)/(3 - 1) × (71 + 1 - 1)/(7 - 1) × (231 + 1 - 1)/(23 - 1) = 768
What Numbers are the Prime Factors of 483?
The prime factors of 483 are 3, 7, 23.
What is the Greatest Common Factor of 483 and 276?
The factors of 483 and 276 are 1, 3, 7, 21, 23, 69, 161, 483 and 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276 respectively.
Common factors of 483 and 276 are [1, 3, 23, 69].
Hence, the Greatest Common Factor of 483 and 276 is 69.
How Many Factors of 483 are also common to the Factors of 325?
Since, the factors of 483 are 1, 3, 7, 21, 23, 69, 161, 483 and factors of 325 are 1, 5, 13, 25, 65, 325. Hence, 483 and 325 have only one common factor which is 1. Therefore, 483 and 325 are co-prime.
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