# Factors of 256 in pair

Factors of 256 in pair are (1, 256) , (2, 128) , (4, 64) , (8, 32) and (16, 16)

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

 1.   Steps to find factors of 256 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 256 in pair

Factor Pair Pair Factorization
1 and 256 1 x 256 = 256
2 and 128 2 x 128 = 256
4 and 64 4 x 64 = 256
8 and 32 8 x 32 = 256
16 and 16 16 x 16 = 256

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 256. They are called negative pair factors.

Hence, the negative pairs of 256 would be ( -1 , -256 ) .

#### Introduction to factor pairs

Factor pair in mathematics is defined as all factors of a given number which when written in pair and multiplied gives the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 256 are 1 , 2 , 4 , 8 , 16 , 32 , 64 , 128 , 256. So, factors of 256 in pair are (1,256), (2,128), (4,64), (8,32), (16,16).

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 256 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 256.
• Every number is a factor of zero (0), since 256 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, 8, 16, 32, 64, 128, 256 are exact divisors of 256.
• Factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, 256. Each factor divides 256 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 8, 16, 32, 64, 128, 256 are all less than or equal to 256.

#### Steps to find Factors of 256

• Step 1. Find all the numbers that would divide 256 without leaving any remainder. Starting with the number 1 upto 128 (half of 256). The number 1 and the number itself are always factors of the given number.
256 ÷ 1 : Remainder = 0
256 ÷ 2 : Remainder = 0
256 ÷ 4 : Remainder = 0
256 ÷ 8 : Remainder = 0
256 ÷ 16 : Remainder = 0
256 ÷ 32 : Remainder = 0
256 ÷ 64 : Remainder = 0
256 ÷ 128 : Remainder = 0
256 ÷ 256 : Remainder = 0

Hence, Factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, and 256

• Is 256 a composite number?

Yes 256 is a composite number.

• Is 256 a prime number?

No 256 is not a prime number.

• Write five multiples of 256.

Five multiples of 256 are 512, 768, 1024, 1280, 1536.

• Write all odd factors of 256?

The factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, 256.
Odd factors of 256 are 1.

• What is the mean of all prime factors of 256?

Factors of 256 are 1 , 2 , 4 , 8 , 16 , 32 , 64 , 128 , 256. Prime factors of 256 are 2 , 2 , 2 , 2 , 2 , 2 , 2 , 2. Therefore mean of prime factors of 256 is (2 + 2 + 2 + 2 + 2 + 2 + 2 + 2) / 8 = 2.00.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 256 but she is finding it difficult. Can you help her find out?

Factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, 256. So, factors of 256 in pair are (1,256), (2,128), (4,64), (8,32), (16,16).

Sammy wants to write all the negative factors of 256 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 256 are -1, -2, -4, -8, -16, -32, -64, -128, -256. Hence, factors of 256 in pair are (-1,-256), (-2,-128), (-4,-64), (-8,-32), (-16,-16).

Help Deep in writing the positive factors of 256 in pair and negative factor of 256 in pair.

Factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, 256. Positive factors of 256 in pair are (1,256), (2,128), (4,64), (8,32), (16,16). Negative factors of 256 in pair are (-1,-256), (-2,-128), (-4,-64), (-8,-32), (-16,-16).

Find the product of all factors of 256.

Factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, 256. So the product of all factors of 256 would be 1 x 2 x 4 x 8 x 16 x 32 x 64 x 128 x 256 = 68719476736.

Find the product of all prime factors of 256.

Factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, 256. Prime factors are 2, 2, 2, 2, 2, 2, 2, 2. So, the product of all prime factors of 256 would be 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 256.

Can you help Sammy list the factors of 256 and also find the factor pairs?

Factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, 256.
Factors of 256 in pair are (1,256), (2,128), (4,64), (8,32), (16,16).

Sammy has 256 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 256 blocks in all possible ways to form a rectangle, we need to calculate factors of 256 in pair. Therefore, factors of 256 in pair are (1,256), (2,128), (4,64), (8,32), (16,16)