# Factors of 71 in pair

Factors of 71 in pair are (1, 71) ,

#### How to find factors of a number in pair

 1.   Steps to find factors of 71 in pair 2.   What is factors of a number in pair? 3.   What are Factors? 4.   Frequently Asked Questions 5.   Examples of factors in pair

### Example: Find factors of 71 in pair

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 ) , .

#### Introduction to factor pairs

Factor pair in mathematics is defined as all factors of a given number which when written in pair and multiplied gives the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 71 are 1 , 71. So, factors of 71 in pair are (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.

#### Steps to find Factors of 71

• Step 1. Find all the numbers that would divide 71 without leaving any remainder. Starting with the number 1 upto 35 (half of 71). The number 1 and the number itself are always factors of the given number.
71 ÷ 1 : Remainder = 0
71 ÷ 71 : Remainder = 0

Hence, Factors of 71 are 1 and 71

• Is 71 a perfect square?

No 71 is not a perfect square.

• Write five multiples of 71.

Five multiples of 71 are 142, 213, 284, 355, 426.

• Is there any even prime factor of 71?

No there is no even prime factor, i.e. 2, of 71.

• What do you mean by proper divisors?

A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.

• What do you mean by improper divisors?

An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

#### Examples of Factors

How many total number of factors of 71 in pair are possible?

Factors of 71 are 1, 71. Hence, the factors of 71 in pair are (1,71). Therefore, in total 1 pairs of factors are possible.

Help Deep in writing the positive factors of 71 in pair and negative factor of 71 in pair.

Factors of 71 are 1, 71. Positive factors of 71 in pair are (1,71). Negative factors of 71 in pair are (-1,-71).

Find the product of all factors of 71.

Factors of 71 are 1, 71. So the product of all factors of 71 would be 1 x 71 = 71.

Find the product of all prime factors of 71.

Factors of 71 are 1, 71. Prime factors are 71. So, the product of all prime factors of 71 would be 71 = 71.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 71.
- Writing all prime factors of 71.
- Writing all the possible factors of 71 in pair.
Help him in writing all these.

Positive factors of 71 are 1, 71.
Prime factors of 71 are 71.
Factors of 71 in pair are (1,71).

What are the pair factors of 71?

Factors of 71 are 1, 71. Hence, the factors of 71 in pair are (1,71).

Can you help Sammy list the factors of 71 and also find the factor pairs?

Factors of 71 are 1, 71.
Factors of 71 in pair are (1,71).

Sammy has 71 blocks and he wants to arrange them in all possible ways to form a rectangle but he doesn't know the technique for doing that, help Sammy in arrangements.

To arrange 71 blocks in all possible ways to form a rectangle, we need to calculate factors of 71 in pair. Therefore, factors of 71 in pair are (1,71)