# Factors of 800 in pair

Factors of 800 in pair are (1, 800) , (2, 400) , (4, 200) , (5, 160) , (8, 100) , (10, 80) , (16, 50) , (20, 40) and (25, 32)

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

 1.   Steps to find factors of 800 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 800 in pair

Factor Pair Pair Factorization
1 and 800 1 x 800 = 800
2 and 400 2 x 400 = 800
4 and 200 4 x 200 = 800
5 and 160 5 x 160 = 800
8 and 100 8 x 100 = 800
10 and 80 10 x 80 = 800
16 and 50 16 x 50 = 800
20 and 40 20 x 40 = 800
25 and 32 25 x 32 = 800

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 800. They are called negative pair factors.

Hence, the negative pairs of 800 would be ( -1 , -800 ) .

#### 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 800 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 80 , 100 , 160 , 200 , 400 , 800. So, factors of 800 in pair are (1,800), (2,400), (4,200), (5,160), (8,100), (10,80), (16,50), (20,40), (25,32).

#### 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. 800 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 800.
• Every number is a factor of zero (0), since 800 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, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800 are exact divisors of 800.
• Factors of 800 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800. Each factor divides 800 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800 are all less than or equal to 800.

#### Steps to find Factors of 800

• Step 1. Find all the numbers that would divide 800 without leaving any remainder. Starting with the number 1 upto 400 (half of 800). The number 1 and the number itself are always factors of the given number.
800 ÷ 1 : Remainder = 0
800 ÷ 2 : Remainder = 0
800 ÷ 4 : Remainder = 0
800 ÷ 5 : Remainder = 0
800 ÷ 8 : Remainder = 0
800 ÷ 10 : Remainder = 0
800 ÷ 16 : Remainder = 0
800 ÷ 20 : Remainder = 0
800 ÷ 25 : Remainder = 0
800 ÷ 32 : Remainder = 0
800 ÷ 40 : Remainder = 0
800 ÷ 50 : Remainder = 0
800 ÷ 80 : Remainder = 0
800 ÷ 100 : Remainder = 0
800 ÷ 160 : Remainder = 0
800 ÷ 200 : Remainder = 0
800 ÷ 400 : Remainder = 0
800 ÷ 800 : Remainder = 0

Hence, Factors of 800 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, and 800

#### Frequently Asked Questions

• Is 800 a composite number?

Yes 800 is a composite number.

• Is 800 a prime number?

No 800 is not a prime number.

• Is 800 a perfect square?

No 800 is not a perfect square.

• Write five multiples of 800.

Five multiples of 800 are 1600, 2400, 3200, 4000, 4800.

• Write all odd factors of 800?

The factors of 800 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800.
Odd factors of 800 are 1 , 5 , 25.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 800 but she is finding it difficult. Can you help her find out?

Factors of 800 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800. So, factors of 800 in pair are (1,800), (2,400), (4,200), (5,160), (8,100), (10,80), (16,50), (20,40), (25,32).

Sammy wants to write all the negative factors of 800 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 800 are -1, -2, -4, -5, -8, -10, -16, -20, -25, -32, -40, -50, -80, -100, -160, -200, -400, -800. Hence, factors of 800 in pair are (-1,-800), (-2,-400), (-4,-200), (-5,-160), (-8,-100), (-10,-80), (-16,-50), (-20,-40), (-25,-32).

Help Deep in writing the positive factors of 800 in pair and negative factor of 800 in pair.

Factors of 800 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800. Positive factors of 800 in pair are (1,800), (2,400), (4,200), (5,160), (8,100), (10,80), (16,50), (20,40), (25,32). Negative factors of 800 in pair are (-1,-800), (-2,-400), (-4,-200), (-5,-160), (-8,-100), (-10,-80), (-16,-50), (-20,-40), (-25,-32).

Find the product of all factors of 800.

Factors of 800 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800. So the product of all factors of 800 would be 1 x 2 x 4 x 5 x 8 x 10 x 16 x 20 x 25 x 32 x 40 x 50 x 80 x 100 x 160 x 200 x 400 x 800 = 1.34217728e+26.

Find the product of all prime factors of 800.

Factors of 800 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800. Prime factors are 2, 2, 2, 2, 2, 5, 5. So, the product of all prime factors of 800 would be 2 x 2 x 2 x 2 x 2 x 5 x 5 = 800.

Can you help Sammy list the factors of 800 and also find the factor pairs?

Factors of 800 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800.
Factors of 800 in pair are (1,800), (2,400), (4,200), (5,160), (8,100), (10,80), (16,50), (20,40), (25,32).

Sammy has 800 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 800 blocks in all possible ways to form a rectangle, we need to calculate factors of 800 in pair. Therefore, factors of 800 in pair are (1,800), (2,400), (4,200), (5,160), (8,100), (10,80), (16,50), (20,40), (25,32)

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