# Factors of 200 in pair

Factors of 200 in pair are (1, 200) , (2, 100) , (4, 50) , (5, 40) , (8, 25) and (10, 20)

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

 1.   Steps to find factors of 200 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 200 in pair

Factor Pair Pair Factorization
1 and 200 1 x 200 = 200
2 and 100 2 x 100 = 200
4 and 50 4 x 50 = 200
5 and 40 5 x 40 = 200
8 and 25 8 x 25 = 200
10 and 20 10 x 20 = 200

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 200. They are called negative pair factors.

Hence, the negative pairs of 200 would be ( -1 , -200 ) .

#### Definition of factor pairs?

In mathematics, factor pair are often given as pair of numbers which when multiplied together give the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 200 are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 200. So, factors of 200 in pair are (1,200), (2,100), (4,50), (5,40), (8,25), (10,20).

#### What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 200 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 200.
• Every number is a factor of zero (0), since 200 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, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200 are exact divisors of 200.
• Factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200. Each factor divides 200 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200 are all less than or equal to 200.

#### Steps to find Factors of 200

• Step 1. Find all the numbers that would divide 200 without leaving any remainder. Starting with the number 1 upto 100 (half of 200). The number 1 and the number itself are always factors of the given number.
200 ÷ 1 : Remainder = 0
200 ÷ 2 : Remainder = 0
200 ÷ 4 : Remainder = 0
200 ÷ 5 : Remainder = 0
200 ÷ 8 : Remainder = 0
200 ÷ 10 : Remainder = 0
200 ÷ 20 : Remainder = 0
200 ÷ 25 : Remainder = 0
200 ÷ 40 : Remainder = 0
200 ÷ 50 : Remainder = 0
200 ÷ 100 : Remainder = 0
200 ÷ 200 : Remainder = 0

Hence, Factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, and 200

• Is 200 a composite number?

Yes 200 is a composite number.

• Is 200 a prime number?

No 200 is not a prime number.

• Is 200 a perfect square?

No 200 is not a perfect square.

• Write five multiples of 200.

Five multiples of 200 are 400, 600, 800, 1000, 1200.

• Write all odd factors of 200?

The factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200.
Odd factors of 200 are 1 , 5 , 25.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 200 but she is finding it difficult. Can you help her find out?

Factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200. So, factors of 200 in pair are (1,200), (2,100), (4,50), (5,40), (8,25), (10,20).

Sammy wants to write all the negative factors of 200 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 200 are -1, -2, -4, -5, -8, -10, -20, -25, -40, -50, -100, -200. Hence, factors of 200 in pair are (-1,-200), (-2,-100), (-4,-50), (-5,-40), (-8,-25), (-10,-20).

Help Deep in writing the positive factors of 200 in pair and negative factor of 200 in pair.

Factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200. Positive factors of 200 in pair are (1,200), (2,100), (4,50), (5,40), (8,25), (10,20). Negative factors of 200 in pair are (-1,-200), (-2,-100), (-4,-50), (-5,-40), (-8,-25), (-10,-20).

Find the product of all factors of 200.

Factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200. So the product of all factors of 200 would be 1 x 2 x 4 x 5 x 8 x 10 x 20 x 25 x 40 x 50 x 100 x 200 = 64000000000000.

Find the product of all prime factors of 200.

Factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200. Prime factors are 2, 2, 2, 5, 5. So, the product of all prime factors of 200 would be 2 x 2 x 2 x 5 x 5 = 200.

Can you help Sammy list the factors of 200 and also find the factor pairs?

Factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200.
Factors of 200 in pair are (1,200), (2,100), (4,50), (5,40), (8,25), (10,20).

Sammy has 200 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 200 blocks in all possible ways to form a rectangle, we need to calculate factors of 200 in pair. Therefore, factors of 200 in pair are (1,200), (2,100), (4,50), (5,40), (8,25), (10,20)