# Factors of 837

Factors of 837 are 1, 3, 9, 27, 31, 93, 279, and 837

#### How to find factors of a number

 1.   Find factors of 837 using Division Method 2.   Find factors of 837 using Prime Factorization 3.   Find factors of 837 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 837

• Divide 837 by 1: 837 ÷ 1 : Remainder = 0
• Divide 837 by 3: 837 ÷ 3 : Remainder = 0
• Divide 837 by 9: 837 ÷ 9 : Remainder = 0
• Divide 837 by 27: 837 ÷ 27 : Remainder = 0
• Divide 837 by 31: 837 ÷ 31 : Remainder = 0
• Divide 837 by 93: 837 ÷ 93 : Remainder = 0
• Divide 837 by 279: 837 ÷ 279 : Remainder = 0
• Divide 837 by 837: 837 ÷ 837 : Remainder = 0

Hence, Factors of 837 are 1, 3, 9, 27, 31, 93, 279, and 837

#### 2. Steps to find factors of 837 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 837 using the division method, follow these steps:

• Step 1. Start dividing 837 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 837, which is 3. Divide 837 by 3 to obtain the quotient (279).
837 ÷ 3 = 279
• Step 3. Repeat step 1 with the obtained quotient (279).
279 ÷ 3 = 93
93 ÷ 3 = 31
31 ÷ 31 = 1

So, the prime factorization of 837 is, 837 = 3 x 3 x 3 x 31.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 837 as shown below:

So, the prime factorization of 837 is, 837 = 3 x 3 x 3 x 31.

#### 3. Find factors of 837 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 837 would be the two numbers which, when multiplied, give 837 as the result.

The following table represents the calculation of factors of 837 in pairs:

Factor Pair Pair Factorization
1 and 837 1 x 837 = 837
3 and 279 3 x 279 = 837
9 and 93 9 x 93 = 837
27 and 31 27 x 31 = 837

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 837. They are called negative pair factors.

Hence, the negative pairs of 837 would be ( -1 , -837 ) , ( -3 , -279 ) , ( -9 , -93 ) and ( -27 , -31 ) .

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. 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, 3, 9, 27, 31, 93, 279, 837 are exact divisors of 837.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 837 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 837.

• Which is the smallest prime factor of 837?

Smallest prime factor of 837 is 3.

• Is 837 a perfect square?

No 837 is not a perfect square.

• What are five multiples of 837?

First five multiples of 837 are 1674, 2511, 3348, 4185, 5022.

• What is prime factorization of 837?

Prime factorization of 837 is 3 x 3 x 3 x 31.

• What are factors of 837?

Factors of 837 are 1, 3, 9, 27, 31, 93, 279, 837.

• How do you find factors of a negative number? ( eg. -837 )?

Factors of -837 are -1, -3, -9, -27, -31, -93, -279, -837.

• Is 837 a whole number?

Yes 837 is a whole number.

• Which is greatest factor of 837?

The greatest factor of 837 is 279.

• What are the prime factors of 837?

The factors of 837 are 1, 3, 9, 27, 31, 93, 279, 837.
Prime factors of 837 are 3, 3, 3, 31.

#### Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 837. Can you help her?

Prime factors of 837 are 3, 3, 3, 31.
Hence, the product of prime factors of 93.

Can you help Rubel to find out the product of the even factors of 837?

Factors of 837 are 1, 3, 9, 27, 31, 93, 279, 837.
Even factors of 837 are 0.
Hence, product of even factors of 837 is; 0 = 0.

Joy wants to calculate mean of all the factors of 837. Help him in finding the mean of 837.

Factors of 837 are 1, 3, 9, 27, 31, 93, 279, 837.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 837 is 1 + 3 + 9 + 27 + 31 + 93 + 279 + 837 = 1280.
Hence, the mean of factors of 837 is 1280 ÷ 8 = 160.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 837? Help her in writing all the factors.

Positive factors are 1, 3, 9, 27, 31, 93, 279, 837.
Negative factors are -1, -3, -9, -27, -31, -93, -279, -837.

How many factors are there for 837?

Factors of 837 are 1, 3, 9, 27, 31, 93, 279, 837.
So there are in total 8 factors.

Joey wants to write all the prime factors of 837 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 837 are 3, 3, 3, 31.
So in exponential form it can be written as 33 x 31.

Kevin has been asked to write 7 factor(s) of 837. Can you predict the answer?

7 factor(s) of 837 are 1, 3, 9, 27, 31, 93, 279.