The factors of 83 are the numbers that divide the original number uniformly. When two numbers on multiplication give the actual number, they are called pair factors. Suppose we multiply 2 and 5, we get 10, i.e. 2 × 5 = 10. Here, 2 and 5 are the factors of 10, whereas (2, 5) is one of the factor pairs of 10.
The factors of 83 are 1 and 83.
As we know, 83 is a prime number. Therefore, it has only two factors. Factor pairs of the number 83 are natural numbers but not fraction or decimal numbers.
How to Find the Factors of 83?
To find the factors of a number, 83, we generally use the factorization method.
In the factorization method, first, consider the numbers 1 and 83 as factors for 83 and continue with finding the other pair of multiples of 83, which gives the results as an original number.
Go through the below given steps to get the factors of 83.
Step 1: First, write the number 83.
Step 2: Find the two numbers, which result in 83 under the multiplication, say 1 and 83, such that 1 × 83 = 83.
Step 3: As we know, 1 and 83 are prime numbers that have only two factors, i.e., one and the number itself and cannot further factorize it.
Step 4: The factors of 83 = 83 × 1.
Step 5: Therefore, the factorization of 83 is written as 83 = 83 × 1.
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Factors of 83 |
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1 and 83 |
Pair Factors of 83
To get the pair factors of 83, multiply the two numbers to get the original number as 83. We can write both positive and negative integers in pairs as shown in the table below:
| Positive pairs | Negative pairs |
| 1 × 83 = 83; (1, 83) | (-1) × (-83) = 83; (-1, -83) |
| 83 × 1 = 83; (83, 1) | (-83) × (-1) = 83; (-83, -1) |
Therefore, the positive pair factors of 83 are (1, 83) and (83, 1)
The negative pair factors of 83 are (-1, -83) and (-83, -1).
Prime Factors of 83
Generally, we use the prime factorization method to get the prime factors of a given number. We can write the prime factors of 83 as explained below.
83 = 1 × 83
We know that 83 is a prime number. We cannot factor it further since the prime numbers do not have factors other than one and the number itself.
Therefore, there are no other prime factors other than 83 itself.
Some important facts about factors of 83 are listed below:
- The sum of factors of 83 is 84.
- The product of factors of 83 is equal to the number itself, i.e. 83 only.
- The number of factors of 83 is 2.
- The factors of 83 are odd numbers.
Video Lesson on Prime Factors
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Frequently Asked Questions on Factors of 83
How many factors does 83 have?
The number 83 has only two factors they are 1 and 83.
Is 83 a prime number?
Yes, 83 is a prime number since it has only two factors, i.e. one and the number itself.
What are the factors of 83?
The factors of 83 are 1 and 83. These can be expressed in terms of pair factors as:
1 × 83 = 83; (1, 83)
83 × 1 = 83; (83, 1)
Is 2 a factor of 83?
No, 2 is not a factor of 83. As 83 is an odd number, all its factors will be odd. Thus, 2 is not a factor of 83 since it is an even number.
What are the common factors of 83 and 75?
The factors of 83 are 1 and 83.
The factors of 75 are 1, 3, 5, 15, 25 and 75.
Thus, the only common factor of 83 and 75 is 1.
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