# Factors of 841

Factors of 841 are 1, 29, and 841

#### How to find factors of a number

 1.   Find factors of 841 using Division Method 2.   Find factors of 841 using Prime Factorization 3.   Find factors of 841 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 841

• Divide 841 by 1: 841 ÷ 1 : Remainder = 0
• Divide 841 by 29: 841 ÷ 29 : Remainder = 0
• Divide 841 by 841: 841 ÷ 841 : Remainder = 0

Hence, Factors of 841 are 1, 29, and 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:

Factor Pair Pair Factorization
1 and 841 1 x 841 = 841
29 and 29 29 x 29 = 841

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.

• 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

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 841? Help her in writing all the factors.

Positive factors are 1, 29, 841.
Negative factors are -1, -29, -841.

Can you help Sammy find out the product of the odd factors of 841?

Factors of 841 are 1, 29, 841.
Odd factors of 841 are 1, 29, 841.
Hence product of odd factors of 841 is; 1 x 29 x 841 = 24389.

Joey wants to write all the prime factors of 841 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 841 are 29, 29.
So in exponential form it can be written as 292.

How many factors are there for 841?

Factors of 841 are 1, 29, 841.
So there are in total 3 factors.

Kevin has been asked to write 2 factor(s) of 841. Can you predict the answer?

2 factor(s) of 841 are 1, 29.

Sammy is puzzled while calculating the prime factors of 841. Can you help him find them?

Factors of 841 are 1, 29, 841.
Prime factors of 841 are 29, 29

What is prime factorization of 841?

Prime factorization of 841 is 29 x 29 = 292.