Factors

# Factors of 83 | Prime Factorization of 83 | Factor Tree of 83

Written by Prerit Jain

Updated on: 12 Jun 2023

Contents

### Factors of 83 | Prime Factorization of 83 | Factor Tree of 83

## Factors of 83

Factors of 83 | Factor Pairs of 83 | Prime factors of 83 |

1, 83 | (1,83) | 83 |

**Factors of 83**,

**Factor Pairs of 83**,

**Prime factors of 83**

Calculate Factors of

**The Factors are**

Looking to Learn Math? Book a Free Trial Lesson and match with top Math Tutors for concepts, homework help, and test prep.

## What are the factors of 83

A factor of a given number is the number that divides the given number evenly into with zero remainder and no decimal points in the quotient. For example, 2 is a factor of 4 because 4 can be evenly divided by 2 (4 / 2 = 2).

To find the factors of a number, we can start by dividing the number by 2 and then working our way up to the number itself, dividing by each whole number along the way to see if it is a factor. If a number is a factor, we can add it to our list of factors.

For example, to find the factors of 83, we can do the following:

- Divide 83 by 2: 83 / 2 = 41.5. Since 41.5 is not a whole number, 2 is not a factor of 83.
- Divide 83 by 3: 83 / 3 = 27.67. Since 27.67 is not a whole number, 3 is not a factor of 83.
- Continue dividing by the next whole number (in this case, 4) and check the result. We can continue this process until we reach the number itself.

Since 83 is a prime number, it has only two factors: 1 and itself. Therefore, the factors of 83 are 1 and 83.

## How to Find Factors of 83

To find the factors of 83, you can use one of the following methods:

- Factors of 83 using the Multiplication Method
- Factors of 83 using the Division Method
- Prime Factorization of 83
- Factor tree of 83

## Factors of 83 Using the Multiplication Method

To find the factors of a number using the multiplication method, we can start by writing down 1 and the number itself (83 in this case) and then finding all the other positive integers that can be multiplied together to equal the number.

For example, let’s say we want to find the factors of 83:

- Write down 1 and the number itself (83). These will always be factors of the number.
- Find two positive integers that, when multiplied together, equal the number (83).

In this case, the only two positive integers that can be multiplied together to equal 83 are 1 and 83.

- The factors of the number are 1, the number itself (83), and any other positive integers that can be multiplied together to equal the number.

**For 83, the factors using the multiplication method are 1 and 83.**

## Factors of 83 Using the Division Method

To find the factors of a number using the division method, we can start by dividing the number by each whole number starting from 2 and working our way up to the number itself. If the result of the division is a whole number, then the divisor is a factor of the number.

For example, let’s say we want to find the factors of 83 using the division method:

- Begin by dividing the number by 2. If the result is a whole number, then 2 is a factor of the number. For 83, 83 / 2 = 41.5, which is not a whole number. Therefore, 2 is not a factor of 83.
- Divide the number by the next whole number (in this case, 3). If the result is a whole number, then 3 is a factor of the number. For 83, 83 / 3 = 27.67, which is not a whole number. Therefore, 3 is not a factor of 83.
- Continue dividing the number by the next whole number (4 in this case) and checking the result. Repeat this process until you reach the number itself.

Since 83 is a prime number, it has only two factors: 1 and itself. Therefore, the factors of 83 using the division method are 1 and 83.

## Prime Factorization of 83

Calculate Prime Factors of

The Prime Factors of 83 =

83

The prime factorization of a number is the expression of the number as the product of its prime factors. A prime factor is a prime number that can be multiplied together to equal the original number.

For example,

1. The prime factorization of 12 is 2 x 2 x 3, because 2 x 2 x 3 = 12. In this case, 2 and 3 are the prime factors of 12.

2. The prime factorization of 83 is 83. This is because 83 is already a prime number, so it has no prime factors other than itself.

## Factor tree of 83

A factor tree is a graphical representation of the prime factorization of a number. To create a factor tree, we start with the number and then divide it by the smallest prime number which is a factor of the number. We repeat this process with each result until we reach a prime number.

In the case of 83, it is already a prime number, so its factor tree is simply a single branch with 83 at the end.

## Factor Pairs of 83

Calculate Pair Factors of

1 x 83=83

So Pair Factors of 83 are

(1,83)

A factor is a number that divides evenly into another number. To find the factors of a number, we can start by dividing the number by 2 and then working our way up to the number itself, dividing by each whole number along the way to see if it is a factor. If a number is a factor, we can add it to our list of factors.

For example, let’s say we want to find the factors of 83:

- Begin by dividing the number by 2. If the result is a whole number, then 2 is a factor of the number.

For 83, 83 / 2 = 41.5, which is not a whole number. Therefore, 2 is not a factor of 83.

- Divide the number by the next whole number (in this case, 3). If the result is a whole number, then 3 is a factor of the number.

For 83, 83 / 3 = 27.67, which is not a whole number. Therefore, 3 is not a factor of 83.

- Continue dividing the number by the next whole number (4 in this case) and checking the result. Repeat this process until you reach the number itself.

Since 83 is a prime number, it has only two factors: 1 and itself. Therefore, the factors of 83 are 1 and 83.

The factor pairs of 83 are (1, 83) and (83, 1). Factors of 83 – Quick Recap

**Factors of 83:**1 and 83.**Negative Factors of 83:**-1 and -83.**Prime Factors of 83:**83.**Prime Factorization of 83:**83.

## More Factors

## Factors of 83 – Fun Facts

- The factors of 83 are 1 and 83.
- 83 is a prime number, which means it has only two factors: 1 and itself.
- The sum of the factors of 83 is 84 (1 + 83 = 84).
- The product of the factors of 83 is 83 (1 x 83 = 83).
- The only even factor of 83 is 2, and 83 is not divisible by 2.
- The greatest common factor (GCF) of 83 and any other number is 1 since 1 is the only common factor.

## Solved Examples of Factor 83

**Q.1: What is the prime factorization of 83? ****Answer: **The prime factorization of 83 is 83 = 83 x 1.

** Q.2: How many factors does 83 have? Answer:** The number 83 is a prime number, which means it has only two factors: 1 and 83.

** Q.3: Is 83 an abundant number? Answer: **No, 83 is not an abundant number. An abundant number is a number for which the sum of its proper divisors (excluding the number itself) is greater than the number itself. Since the only proper divisor of 83 is 1, and the sum of the proper divisors is 1, the sum is not greater than 83. Therefore, 83 is not an abundant number.

** Q.4: How many pairs of factors equal to 83 can you find? Solution:** There are 1 pair of factors that equal 83; (1,83).

** Q.5: What is the greatest common factor for 73 and 63? Solution:** The prime factorization of 85 is 5 * 17. Since 5 and 17 are both prime numbers and not perfect squares, it means that 85 does not have any square factors.

** Q.6: What type of number is 83? Solution: **The number 83 is a prime number since Since 83 cannot be divided evenly by any other number than 1 and 83, it is classified as prime number.

** Q.7: What are the least common multiples between 63 and 73? Solution:** The least common multiple between 63 and 73 is 1.

** Q.8: Does 85 have any square factors? Solution:** The prime factorization of 85 is: 5 * 17. Since 5 and 17 are both prime numbers and not perfect squares, it means that 85 does not have any square factors.

Looking to Learn Math? Book a Free Trial Lesson and match with top Math Tutors for concepts, homework help, and test prep.

## Frequently Asked Questions on Factors of 83

**What is the greatest common factor between 83 and 30?**

The greatest common factor (GCF) between 83 and 30 is 1.

**How many negative factors does the number 83 have?**

There are 2 negative factors of 83; -1, -83.

**Is there a difference between the factors and multiples of 83?**

While factors and multiples have similar definitions in that they both refer to groups or collections of related numbers generated by multiplying or dividing a given number, there is an important difference between them – factors refer to how many times the original number can be divided evenly while multiples make reference to how many times it has been multiplied by itself.

**Which number from 1-83 divides into it without any remainders?**

Any number from 1-83 can divide into it with no remainders, but some will produce fractions or decimals instead of whole number results.

**What is the least common multiple (LCM) of 83? **

The least common multiple (LCM) of 83 is 83 itself. Since 83 is a prime number, it does not have any other factors besides 1 and itself. Therefore, the LCM of 83 is simply 83.

**What is the sum of all positive integer divisors for 83?**

The sum of the positive integer divisors for 83 is 84; 1+83= 84.

Written by by

Prerit Jain