# Factors of 71

Factors of 71 are 1 and 71

#### How to find factors of a number

 1.   Find factors of 71 using Division Method 2.   Find factors of 71 using Prime Factorization 3.   Find factors of 71 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 71

• Divide 71 by 1: 71 ÷ 1 : Remainder = 0
• Divide 71 by 71: 71 ÷ 71 : Remainder = 0

Hence, Factors of 71 are 1 and 71

#### 2. Steps to find factors of 71 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 71 using the division method, follow these steps:

• Step 1. Start dividing 71 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 71, which is 71. Divide 71 by 71 to obtain the quotient (1).
71 ÷ 71 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 71 is, 71 = 71.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 71 as shown below:

So, the prime factorization of 71 is, 71 = 71.

#### 3. Find factors of 71 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 71 would be the two numbers which, when multiplied, give 71 as the result.

The following table represents the calculation of factors of 71 in pairs:

Factor Pair Pair Factorization
1 and 71 1 x 71 = 71

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 71. They are called negative pair factors.

Hence, the negative pairs of 71 would be ( -1 , -71 ) , .

#### 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 number is a factor of zero (0), since 71 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, 71 are exact divisors of 71.
• Factors of 71 are 1, 71. Each factor divides 71 without leaving a remainder.

• What is prime factorization of 71?

Prime factorization of 71 is 71.

• How do you find factors of a negative number? ( eg. -71 )?

Factors of -71 are -1, -71.

• What are the prime factors of 71?

The factors of 71 are 1, 71.
Prime factors of 71 are 71.

• What are pair factors of 71?

The pair factors of 71 are (1,71).

• What is the greatest prime factors of 71?

The greatest prime factor of 71 is 71.

• What are six multiples of 71?

First five multiples of 71 are 142, 213, 284, 355, 426, 497.

• What are factors of 71?

Factors of 71 are 1, 71.

• Which is the smallest prime factor of 71?

Smallest prime factor of 71 is 71.

• Is 71 a whole number?

Yes 71 is a whole number.

#### Examples of Factors

Kevin has been asked to write 1 factor(s) of 71. Can you predict the answer?

1 factor(s) of 71 is 1.

Sammy is puzzled while calculating the prime factors of 71. Can you help him find them?

Factors of 71 are 1, 71.
Prime factors of 71 are 71

What is prime factorization of 71?

Prime factorization of 71 is 71 = 71.

Ariel has been assigned the task to find the product of all the prime factors of 71. Can you help her?

Prime factors of 71 are 71.
Hence, the product of prime factors of 71.

Can you help Rubel to find out the product of the even factors of 71?

Factors of 71 are 1, 71.
Even factors of 71 are 0.
Hence, product of even factors of 71 is; 0 = 0.

Joy wants to calculate mean of all the factors of 71. Help him in finding the mean of 71.

Factors of 71 are 1, 71.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 71 is 1 + 71 = 72.
Hence, the mean of factors of 71 is 72 ÷ 2 = 36.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 71? Help her in writing all the factors.

Positive factors are 1, 71.
Negative factors are -1, -71.