# Factors of 47089

Factors of 47089 are 1, 7, 31, 49, 217, 961, 1519, 6727, and 47089

#### How to find factors of a number

 1.   Find factors of 47089 using Division Method 2.   Find factors of 47089 using Prime Factorization 3.   Find factors of 47089 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 47089

• Divide 47089 by 1: 47089 ÷ 1 : Remainder = 0
• Divide 47089 by 7: 47089 ÷ 7 : Remainder = 0
• Divide 47089 by 31: 47089 ÷ 31 : Remainder = 0
• Divide 47089 by 49: 47089 ÷ 49 : Remainder = 0
• Divide 47089 by 217: 47089 ÷ 217 : Remainder = 0
• Divide 47089 by 961: 47089 ÷ 961 : Remainder = 0
• Divide 47089 by 1519: 47089 ÷ 1519 : Remainder = 0
• Divide 47089 by 6727: 47089 ÷ 6727 : Remainder = 0
• Divide 47089 by 47089: 47089 ÷ 47089 : Remainder = 0

Hence, Factors of 47089 are 1, 7, 31, 49, 217, 961, 1519, 6727, and 47089

#### 2. Steps to find factors of 47089 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 47089 using the division method, follow these steps:

• Step 1. Start dividing 47089 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 47089, which is 7. Divide 47089 by 7 to obtain the quotient (6727).
47089 ÷ 7 = 6727
• Step 3. Repeat step 1 with the obtained quotient (6727).
6727 ÷ 7 = 961
961 ÷ 31 = 31
31 ÷ 31 = 1

So, the prime factorization of 47089 is, 47089 = 7 x 7 x 31 x 31.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 47089 as shown below:

So, the prime factorization of 47089 is, 47089 = 7 x 7 x 31 x 31.

#### 3. Find factors of 47089 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 47089 would be the two numbers which, when multiplied, give 47089 as the result.

The following table represents the calculation of factors of 47089 in pairs:

Factor Pair Pair Factorization
1 and 47089 1 x 47089 = 47089
7 and 6727 7 x 6727 = 47089
31 and 1519 31 x 1519 = 47089
49 and 961 49 x 961 = 47089
217 and 217 217 x 217 = 47089

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 47089. They are called negative pair factors.

Hence, the negative pairs of 47089 would be ( -1 , -47089 ) , ( -7 , -6727 ) , ( -31 , -1519 ) , ( -49 , -961 ) and ( -217 , -217 ) .

#### How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

#### Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 7, 31, 49, 217, 961, 1519, 6727, 47089 are exact divisors of 47089.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 47089 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 47089.

• What are the prime factors of 47089?

The factors of 47089 are 1, 7, 31, 49, 217, 961, 1519, 6727, 47089.
Prime factors of 47089 are 7, 7, 31, 31.

• What is the sum of all factors of 47089?

The sum of all factors of 47089 is 56601.

• What are the pair factors of 47089?

Pair factors of 47089 are (1,47089), (7,6727), (31,1519), (49,961), (217,217).

• What two numbers make 47089?

Two numbers that make 47089 are 7 and 6727.

• What are multiples of 47089?

First five multiples of 47089 are 94178, 141267, 188356, 235445.

• Is 47089 a perfect square?

Yes 47089 is a perfect square.

• Which is greatest factor of 47089?

The greatest factor of 47089 is 6727.

• How do you factors of 47089?

Factors of 47089 are 1, 7, 31, 49, 217, 961, 1519, 6727, 47089.

• What are five multiples of 47089?

First five multiples of 47089 are 94178, 141267, 188356, 235445, 282534.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 47089?

Factors of 47089 are 1, 7, 31, 49, 217, 961, 1519, 6727, 47089.
Even factors of 47089 are 0.
Hence, product of even factors of 47089 is; 0 = 0.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 47089? Help her in writing all the factors.

Positive factors are 1, 7, 31, 49, 217, 961, 1519, 6727, 47089.
Negative factors are -1, -7, -31, -49, -217, -961, -1519, -6727, -47089.

How many factors are there for 47089?

Factors of 47089 are 1, 7, 31, 49, 217, 961, 1519, 6727, 47089.
So there are in total 9 factors.

Sammy is puzzled while calculating the prime factors of 47089. Can you help him find them?

Factors of 47089 are 1, 7, 31, 49, 217, 961, 1519, 6727, 47089.
Prime factors of 47089 are 7, 7, 31, 31

Joey wants to write all the prime factors of 47089 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 47089 are 7, 7, 31, 31.
So in exponential form it can be written as 72 x 312.

What is prime factorization of 47089?

Prime factorization of 47089 is 7 x 7 x 31 x 31 = 72 x 312.

Can you help Rubel to find out the product of the even factors of 47089?

Factors of 47089 are 1, 7, 31, 49, 217, 961, 1519, 6727, 47089.
Even factors of 47089 are 0.
Hence, product of even factors of 47089 is; 0 = 0.