# Factors of 291

Factors of 291 are 1, 3, 97, and 291

#### How to find factors of a number

 1.   Find factors of 291 using Division Method 2.   Find factors of 291 using Prime Factorization 3.   Find factors of 291 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 291

• Divide 291 by 1: 291 ÷ 1 : Remainder = 0
• Divide 291 by 3: 291 ÷ 3 : Remainder = 0
• Divide 291 by 97: 291 ÷ 97 : Remainder = 0
• Divide 291 by 291: 291 ÷ 291 : Remainder = 0

Hence, Factors of 291 are 1, 3, 97, and 291

#### 2. Steps to find factors of 291 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 291 using the division method, follow these steps:

• Step 1. Start dividing 291 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 291, which is 3. Divide 291 by 3 to obtain the quotient (97).
291 ÷ 3 = 97
• Step 3. Repeat step 1 with the obtained quotient (97).
97 ÷ 97 = 1

So, the prime factorization of 291 is, 291 = 3 x 97.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 291 as shown below:

So, the prime factorization of 291 is, 291 = 3 x 97.

#### 3. Find factors of 291 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 291 would be the two numbers which, when multiplied, give 291 as the result.

The following table represents the calculation of factors of 291 in pairs:

Factor Pair Pair Factorization
1 and 291 1 x 291 = 291
3 and 97 3 x 97 = 291

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 291. They are called negative pair factors.

Hence, the negative pairs of 291 would be ( -1 , -291 ) , ( -3 , -97 ) .

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of factors

• Every number is a factor of zero (0), since 291 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 3, 97, 291 are exact divisors of 291.
• Factors of 291 are 1, 3, 97, 291. Each factor divides 291 without leaving a remainder.

• What are the prime factors of 291?

The factors of 291 are 1, 3, 97, 291.
Prime factors of 291 are 3, 97.

• What two numbers make 291?

Two numbers that make 291 are 3 and 97.

• What is the greatest prime factors of 291?

The greatest prime factor of 291 is 97.

• What are factors of 291?

Factors of 291 are 1, 3, 97, 291.

• How do you find factors of a negative number? ( eg. -291 )?

Factors of -291 are -1, -3, -97, -291.

• What are five multiples of 291?

First five multiples of 291 are 582, 873, 1164, 1455, 1746.

• Write some multiples of 291?

First five multiples of 291 are 582, 873, 1164, 1455.

• Is 291 a perfect square?

No 291 is not a perfect square.

• What two numbers make 291?

Two numbers that make 291 are 3 and 97.

#### Examples of Factors

What is prime factorization of 291?

Prime factorization of 291 is 3 x 97 = 3 x 97.

Sammy is puzzled while calculating the prime factors of 291. Can you help him find them?

Factors of 291 are 1, 3, 97, 291.
Prime factors of 291 are 3, 97

Kevin has been asked to write 3 factor(s) of 291. Can you predict the answer?

3 factor(s) of 291 are 1, 3, 97.

Joey wants to write all the prime factors of 291 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 291 are 3, 97.
So in exponential form it can be written as 3 x 97.

How many factors are there for 291?

Factors of 291 are 1, 3, 97, 291.
So there are in total 4 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 291? Help her in writing all the factors.

Positive factors are 1, 3, 97, 291.
Negative factors are -1, -3, -97, -291.

Can you help Rubel to find out the product of the even factors of 291?

Factors of 291 are 1, 3, 97, 291.
Even factors of 291 are 0.
Hence, product of even factors of 291 is; 0 = 0.