Factors of 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:

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.

Frequently Asked Questions

• 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