Factors of 841

2. Steps to find factors of 841 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 841 using the division method, follow these steps:

• Step 1. Start dividing 841 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 841, which is 29. Divide 841 by 29 to obtain the quotient (29).
  841 ÷ 29 = 29
• Step 3. Repeat step 1 with the obtained quotient (29).
  29 ÷ 29 = 1

So, the prime factorization of 841 is, 841 = 29 x 29.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 841 as shown below:

So, the prime factorization of 841 is, 841 = 29 x 29.

3. Find factors of 841 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 841 would be the two numbers which, when multiplied, give 841 as the result.

The following table represents the calculation of factors of 841 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 841. They are called negative pair factors.

Hence, the negative pairs of 841 would be ( -1 , -841 ) , ( -29 , -29 ) .

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 factor of a number is an exact divisor of that number, example 1, 29, 841 are exact divisors of 841.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 841 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 841.

Frequently Asked Questions

• Is 841 a perfect square?

  Yes 841 is a perfect square.

• What are factors of 841?

  Factors of 841 are 1, 29, 841.

• Which is greatest factor of 841?

  The greatest factor of 841 is 29.

• What is the sum of all factors of 841?

  The sum of all factors of 841 is 871.

• What are multiples of 841?

  First five multiples of 841 are 1682, 2523, 3364, 4205.

• What is the greatest prime factors of 841?

  The greatest prime factor of 841 is 29.

• What are six multiples of 841?

  First five multiples of 841 are 1682, 2523, 3364, 4205, 5046, 5887.

• What is prime factorization of 841?

  Prime factorization of 841 is 29 x 29.

• Is 841 a whole number?

  Yes 841 is a whole number.

Examples of Factors