# Factors of 213 in pair

Factors of 213 in pair are (1, 213) , (3, 71)

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

 1.   Steps to find factors of 213 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 213 in pair

Factor Pair Pair Factorization
1 and 213 1 x 213 = 213
3 and 71 3 x 71 = 213

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 213. They are called negative pair factors.

Hence, the negative pairs of 213 would be ( -1 , -213 ) .

#### What does factor pairs in mathematics mean?

In mathematics, factor pair of a number are all those possible combination which when multiplied together give the original number in return. Every natural number is a product of atleast one factor pair. Eg- Factors of 213 are 1 , 3 , 71 , 213. So, factors of 213 in pair are (1,213), (3,71).

#### What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

#### Properties of Factors

• Every factor of a number is an exact divisor of that number, example 1, 3, 71, 213 are exact divisors of 213.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 213 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 213.

#### Steps to find Factors of 213

• Step 1. Find all the numbers that would divide 213 without leaving any remainder. Starting with the number 1 upto 106 (half of 213). The number 1 and the number itself are always factors of the given number.
213 ÷ 1 : Remainder = 0
213 ÷ 3 : Remainder = 0
213 ÷ 71 : Remainder = 0
213 ÷ 213 : Remainder = 0

Hence, Factors of 213 are 1, 3, 71, and 213

• Is 213 a composite number?

Yes 213 is a composite number.

• Is 213 a perfect square?

No 213 is not a perfect square.

• Write all odd factors of 213?

The factors of 213 are 1, 3, 71, 213.
Odd factors of 213 are 1 , 3 , 71 , 213.

• What is the mean of all prime factors of 213?

Factors of 213 are 1 , 3 , 71 , 213. Prime factors of 213 are 3 , 71. Therefore mean of prime factors of 213 is (3 + 71) / 2 = 37.00.

• 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

Can you help Rubel in arranging 213 blocks in order to form a rectangle in all possible ways? For arranging 213 blocks in order to form a rectangle in all possible ways we need to find factors of 213 in pair.

Factors of 213 are 1, 3, 71, 213. So, factors of 213 in pair are (1,213), (3,71).

Ariel has been asked to write all factor pairs of 213 but she is finding it difficult. Can you help her find out?

Factors of 213 are 1, 3, 71, 213. So, factors of 213 in pair are (1,213), (3,71).

What are the pair factors of 213?

Factors of 213 are 1, 3, 71, 213. Hence, the factors of 213 in pair are (1,213), (3,71).

Can you help Sammy list the factors of 213 and also find the factor pairs?

Factors of 213 are 1, 3, 71, 213.
Factors of 213 in pair are (1,213), (3,71).

Help Diji in finding factors of 213 by Prime Factorization method and then sorting factors of 213 in pairs.

Prime factorization of 213 is 3 x 71. Factors of 213 in pair can be written as (1,213), (3,71).

Write the smallest prime factor of 213.

Smallest prime factor of 213 is 3.

Write the largest prime factor of 213.

Largest prime factor of 213 is 71.

Diji wants to write all the negative factors of 213. Can you help Diji in doing the same?

Negative factors of 213 are -1, -3, -71, -213.