# Factors of 87 in pair

Factors of 87 in pair are (1, 87) , (3, 29)

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

 1.   Steps to find factors of 87 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 87 in pair

Factor Pair Pair Factorization
1 and 87 1 x 87 = 87
3 and 29 3 x 29 = 87

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 87. They are called negative pair factors.

Hence, the negative pairs of 87 would be ( -1 , -87 ) .

#### How do you define factor pairs of a number?

A factor pair of a number can be defined as the combination of two factors in such a way that when multiplied together produce the number itself. Every natural number is a product of atleast one factor pair. Eg- Factors of 87 are 1 , 3 , 29 , 87. So, factors of 87 in pair are (1,87), (3,29).

#### 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 87 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, 3, 29, 87 are exact divisors of 87.
• Factors of 87 are 1, 3, 29, 87. Each factor divides 87 without leaving a remainder.

#### Steps to find Factors of 87

• Step 1. Find all the numbers that would divide 87 without leaving any remainder. Starting with the number 1 upto 43 (half of 87). The number 1 and the number itself are always factors of the given number.
87 ÷ 1 : Remainder = 0
87 ÷ 3 : Remainder = 0
87 ÷ 29 : Remainder = 0
87 ÷ 87 : Remainder = 0

Hence, Factors of 87 are 1, 3, 29, and 87

• Is 87 a composite number?

Yes 87 is a composite number.

• Is 87 a perfect square?

No 87 is not a perfect square.

• Write all odd factors of 87?

The factors of 87 are 1, 3, 29, 87.
Odd factors of 87 are 1 , 3 , 29 , 87.

• What is the mean of all prime factors of 87?

Factors of 87 are 1 , 3 , 29 , 87. Prime factors of 87 are 3 , 29. Therefore mean of prime factors of 87 is (3 + 29) / 2 = 16.00.

• 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.

#### Examples of Factors

How many total number of factors of 87 in pair are possible?

Factors of 87 are 1, 3, 29, 87. Hence, the factors of 87 in pair are (1,87), (3,29). Therefore, in total 2 pairs of factors are possible.

Help Deep in writing the positive factors of 87 in pair and negative factor of 87 in pair.

Factors of 87 are 1, 3, 29, 87. Positive factors of 87 in pair are (1,87), (3,29). Negative factors of 87 in pair are (-1,-87), (-3,-29).

Find the product of all factors of 87.

Factors of 87 are 1, 3, 29, 87. So the product of all factors of 87 would be 1 x 3 x 29 x 87 = 7569.

Find the product of all prime factors of 87.

Factors of 87 are 1, 3, 29, 87. Prime factors are 3, 29. So, the product of all prime factors of 87 would be 3 x 29 = 87.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 87.
- Writing all prime factors of 87.
- Writing all the possible factors of 87 in pair.
Help him in writing all these.

Positive factors of 87 are 1, 3, 29, 87.
Prime factors of 87 are 3, 29.
Factors of 87 in pair are (1,87), (3,29).

What are the pair factors of 87?

Factors of 87 are 1, 3, 29, 87. Hence, the factors of 87 in pair are (1,87), (3,29).

Can you help Sammy list the factors of 87 and also find the factor pairs?

Factors of 87 are 1, 3, 29, 87.
Factors of 87 in pair are (1,87), (3,29).

Sammy has 87 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 87 blocks in all possible ways to form a rectangle, we need to calculate factors of 87 in pair. Therefore, factors of 87 in pair are (1,87), (3,29)