# Factors of 293

Factors of 293 are 1 and 293

#### How to find factors of a number

 1.   Find factors of 293 using Division Method 2.   Find factors of 293 using Prime Factorization 3.   Find factors of 293 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 293

• Divide 293 by 1: 293 ÷ 1 : Remainder = 0
• Divide 293 by 293: 293 ÷ 293 : Remainder = 0

Hence, Factors of 293 are 1 and 293

#### 2. Steps to find factors of 293 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 293 using the division method, follow these steps:

• Step 1. Start dividing 293 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 293, which is 293. Divide 293 by 293 to obtain the quotient (1).
293 ÷ 293 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 293 is, 293 = 293.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 293 as shown below:

So, the prime factorization of 293 is, 293 = 293.

#### 3. Find factors of 293 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 293 would be the two numbers which, when multiplied, give 293 as the result.

The following table represents the calculation of factors of 293 in pairs:

Factor Pair Pair Factorization
1 and 293 1 x 293 = 293

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 293. They are called negative pair factors.

Hence, the negative pairs of 293 would be ( -1 , -293 ) , .

#### What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

#### Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 293 are exact divisors of 293.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 293 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 293.

• What are the pair factors of 293?

Pair factors of 293 are (1,293).

• What are five multiples of 293?

First five multiples of 293 are 586, 879, 1172, 1465, 1758.

• What two numbers make 293?

Two numbers that make 293 are 293 and 1.

• What is the sum of all factors of 293?

The sum of all factors of 293 is 294.

• What are factors of -293?

Factors of -293 are -1, -293.

• What are factors of 293?

Factors of 293 are 1, 293.

• Is 293 a perfect square?

No 293 is not a perfect square.

• Which is the smallest prime factor of 293?

Smallest prime factor of 293 is 293.

• Which is greatest factor of 293?

The greatest factor of 293 is 1.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 293?

Factors of 293 are 1, 293.
Odd factors of 293 are 1, 293.
Hence product of odd factors of 293 is; 1 x 293 = 293.

Joey wants to write all the prime factors of 293 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 293 are 293.
So in exponential form it can be written as 293.

How many factors are there for 293?

Factors of 293 are 1, 293.
So there are in total 2 factors.

Kevin has been asked to write 1 factor(s) of 293. Can you predict the answer?

1 factor(s) of 293 is 1.

Sammy is puzzled while calculating the prime factors of 293. Can you help him find them?

Factors of 293 are 1, 293.
Prime factors of 293 are 293

What is prime factorization of 293?

Prime factorization of 293 is 293 = 293.

Can you help Rubel to find out the product of the even factors of 293?

Factors of 293 are 1, 293.
Even factors of 293 are 0.
Hence, product of even factors of 293 is; 0 = 0.