# Factors of 218 in pair

Factors of 218 in pair are (1, 218) , (2, 109)

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

 1.   Steps to find factors of 218 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 218 in pair

Factor Pair Pair Factorization
1 and 218 1 x 218 = 218
2 and 109 2 x 109 = 218

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 218. They are called negative pair factors.

Hence, the negative pairs of 218 would be ( -1 , -218 ) .

#### 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 218 are 1 , 2 , 109 , 218. So, factors of 218 in pair are (1,218), (2,109).

#### 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

• Each number is a factor of itself. Eg. 218 is a factor of itself.
• 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, 2, 109, 218 are exact divisors of 218.
• 1 is a factor of every number. Eg. 1 is a factor of 218.
• Every number is a factor of zero (0), since 218 x 0 = 0.

#### Steps to find Factors of 218

• Step 1. Find all the numbers that would divide 218 without leaving any remainder. Starting with the number 1 upto 109 (half of 218). The number 1 and the number itself are always factors of the given number.
218 ÷ 1 : Remainder = 0
218 ÷ 2 : Remainder = 0
218 ÷ 109 : Remainder = 0
218 ÷ 218 : Remainder = 0

Hence, Factors of 218 are 1, 2, 109, and 218

• Is 218 a composite number?

Yes 218 is a composite number.

• Is 218 a prime number?

No 218 is not a prime number.

• Is 218 a perfect square?

No 218 is not a perfect square.

• Write five multiples of 218.

Five multiples of 218 are 436, 654, 872, 1090, 1308.

• Write all odd factors of 218?

The factors of 218 are 1, 2, 109, 218.
Odd factors of 218 are 1 , 109.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 218 but she is finding it difficult. Can you help her find out?

Factors of 218 are 1, 2, 109, 218. So, factors of 218 in pair are (1,218), (2,109).

Sammy wants to write all the negative factors of 218 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 218 are -1, -2, -109, -218. Hence, factors of 218 in pair are (-1,-218), (-2,-109).

Help Deep in writing the positive factors of 218 in pair and negative factor of 218 in pair.

Factors of 218 are 1, 2, 109, 218. Positive factors of 218 in pair are (1,218), (2,109). Negative factors of 218 in pair are (-1,-218), (-2,-109).

Find the product of all prime factors of 218.

Factors of 218 are 1, 2, 109, 218. Prime factors are 2, 109. So, the product of all prime factors of 218 would be 2 x 109 = 218.

Can you help Sammy list the factors of 218 and also find the factor pairs?

Factors of 218 are 1, 2, 109, 218.
Factors of 218 in pair are (1,218), (2,109).

Help Diji in finding factors of 218 by Prime Factorization method and then sorting factors of 218 in pairs.

Prime factorization of 218 is 2 x 109. Factors of 218 in pair can be written as (1,218), (2,109).

Write the smallest prime factor of 218.

Smallest prime factor of 218 is 2.

Write the largest prime factor of 218.

Largest prime factor of 218 is 109.