# Factors of 47

Factors of 47 are 1 and 47

#### How to find factors of a number

 1.   Find factors of 47 using Division Method 2.   Find factors of 47 using Prime Factorization 3.   Find factors of 47 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 47

• Divide 47 by 1: 47 ÷ 1 : Remainder = 0
• Divide 47 by 47: 47 ÷ 47 : Remainder = 0

Hence, Factors of 47 are 1 and 47

#### 2. Steps to find factors of 47 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 47 using the division method, follow these steps:

• Step 1. Start dividing 47 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 47, which is 47. Divide 47 by 47 to obtain the quotient (1).
47 ÷ 47 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 47 is, 47 = 47.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 47 as shown below:

So, the prime factorization of 47 is, 47 = 47.

#### 3. Find factors of 47 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 47 would be the two numbers which, when multiplied, give 47 as the result.

The following table represents the calculation of factors of 47 in pairs:

Factor Pair Pair Factorization
1 and 47 1 x 47 = 47

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 47. They are called negative pair factors.

Hence, the negative pairs of 47 would be ( -1 , -47 ) , .

#### 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 number is a factor of zero (0), since 47 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, 47 are exact divisors of 47.
• Factors of 47 are 1, 47. Each factor divides 47 without leaving a remainder.

• What two numbers make 47?

Two numbers that make 47 are 47 and 1.

• What is prime factorization of 47?

Prime factorization of 47 is 47.

• Write some multiples of 47?

First five multiples of 47 are 94, 141, 188, 235.

• Which is the smallest prime factor of 47?

The smallest prime factor of 47 is 47.

• Is 47 a perfect square?

No 47 is not a perfect square.

• What is the sum of all factors of 47?

The sum of all factors of 47 is 48.

• What are factors of 47?

Factors of 47 are 1, 47.

• How do you find factors of a negative number? ( eg. -47 )?

Factors of -47 are -1, -47.

• Is 47 a whole number?

Yes 47 is a whole number.

#### Examples of Factors

Joy wants to calculate mean of all the factors of 47. Help him in finding the mean of 47.

Factors of 47 are 1, 47.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 47 is 1 + 47 = 48.
Hence, the mean of factors of 47 is 48 ÷ 2 = 24.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 47? Help her in writing all the factors.

Positive factors are 1, 47.
Negative factors are -1, -47.

Joey wants to write all the prime factors of 47 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 47 are 47.
So in exponential form it can be written as 47.

Kevin has been asked to write 1 factor(s) of 47. Can you predict the answer?

1 factor(s) of 47 is 1.

Sammy is puzzled while calculating the prime factors of 47. Can you help him find them?

Factors of 47 are 1, 47.
Prime factors of 47 are 47

What is prime factorization of 47?

Prime factorization of 47 is 47 = 47.

Can you help Rubel to find out the product of the even factors of 47?

Factors of 47 are 1, 47.
Even factors of 47 are 0.
Hence, product of even factors of 47 is; 0 = 0.