Factors of 481
Factors of 481 are numbers that, when multiplied in pairs give the product as 481. There are total 4 factors of 481 i.e. 1, 13, 37, 481. The sum of all factors of 481 is 532. Its Prime Factors are 13 × 37 and (1, 481), (13, 37) are Pair Factors.
- All Factors of 481: 1, 13, 37 and 481
- Negative Factors of 481: -1, -13, -37 and -481
- Prime Factors of 481: 13, 37
- Prime Factorization of 481: 131 × 371
- Sum of Factors of 481: 532
1. | What Are the Factors of 481? |
2. | Factors of 481 by Prime Factorization |
3. | Factors of 481 in Pairs |
4. | FAQs on Factors of 481 |
What are Factors of 481?
Factors of 481 are pairs of those numbers whose products result in 481. These factors are either prime numbers or composite numbers.
How to Find the Factors of 481?
To find the factors of 481, we will have to find the list of numbers that would divide 481 without leaving any remainder.
- 481/37 = 13; therefore, 37 is a factor of 481 and 13 is also a factor of 481.
- 481/1 = 481; therefore, 1 is a factor of 481 and 481 is also a factor of 481.
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Factors of 481 by Prime Factorization
- 481 ÷ 13 = 37
Further dividing 37 by 13 gives a non-zero remainder. So we stop the process and continue dividing the number 37 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 481 can be written as 131 × 371 where 13, 37 are prime.
Factors of 481 in Pairs
Pair factors of 481 are the pairs of numbers that when multiplied give the product 481. The factors of 481 in pairs are:
- 1 × 481 = (1, 481)
- 13 × 37 = (13, 37)
Negative pair factors of 481 are:
- -1 × -481 = (-1, -481)
- -13 × -37 = (-13, -37)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 481 Solved Examples
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Example 1: How many factors are there for 481?
Solution:
The factors of 481 are 1, 13, 37, 481. Therefore, 481 has 4 factors.
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Example 2: Find the Least Common Multiple and Greatest Common Factor (GCF) of 481 and 69.
Solution:
The factors of 481 are 1, 13, 37, 481 and factors of 69 are 1, 3, 23, 69.
Therefore, the Least Common Multiple of 481 and 69 is 33189 and Greatest Common Factor (GCF) of 481 and 69 is 1. -
Example 3: Find if 1, 260 and 481 are factors of 481.
Solution:
When we divide 481 by 260 it leaves a remainder. Therefore, the number 260 is not a factor of 481. All numbers except 260 are factors of 481.
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Example 4: Find the product of all the prime factors of 481.
Solution:
Since, the prime factors of 481 are 13, 37. Therefore, the product of prime factors = 13 × 37 = 481.
FAQs on Factors of 481
What are the Factors of 481?
The factors of 481 are 1, 13, 37, 481 and its negative factors are -1, -13, -37, -481.
What is the Sum of Factors of 481?
Factors of 481 are 1, 13, 37, 481 and, the sum of all these factors is 1 + 13 + 37 + 481 = 532
What are Pair Factors of 481?
The pair factors of 481 are (1, 481), (13, 37).
What is the Greatest Common Factor of 481 and 380?
The factors of 481 are 1, 13, 37, 481 and the factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380. 481 and 380 have only one common factor which is 1. This implies that 481 and 380 are co-prime.
Hence, the Greatest Common Factor (GCF) of 481 and 380 is 1.
What are the Common Factors of 481 and 22?
Since, the factors of 481 are 1, 13, 37, 481 and factors of 22 are 1, 2, 11, 22. Hence, 481 and 22 have only one common factor which is 1. Therefore, 481 and 22 are co-prime.
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