# Factors of 208 in pair

Factors of 208 in pair are (1, 208) , (2, 104) , (4, 52) , (8, 26) and (13, 16)

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

 1.   Steps to find factors of 208 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 208 in pair

Factor Pair Pair Factorization
1 and 208 1 x 208 = 208
2 and 104 2 x 104 = 208
4 and 52 4 x 52 = 208
8 and 26 8 x 26 = 208
13 and 16 13 x 16 = 208

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 208. They are called negative pair factors.

Hence, the negative pairs of 208 would be ( -1 , -208 ) .

#### 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 208 are 1 , 2 , 4 , 8 , 13 , 16 , 26 , 52 , 104 , 208. So, factors of 208 in pair are (1,208), (2,104), (4,52), (8,26), (13,16).

#### 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. 208 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 208.
• Every number is a factor of zero (0), since 208 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, 13, 16, 26, 52, 104, 208 are exact divisors of 208.
• Factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208. Each factor divides 208 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 8, 13, 16, 26, 52, 104, 208 are all less than or equal to 208.

#### Steps to find Factors of 208

• Step 1. Find all the numbers that would divide 208 without leaving any remainder. Starting with the number 1 upto 104 (half of 208). The number 1 and the number itself are always factors of the given number.
208 ÷ 1 : Remainder = 0
208 ÷ 2 : Remainder = 0
208 ÷ 4 : Remainder = 0
208 ÷ 8 : Remainder = 0
208 ÷ 13 : Remainder = 0
208 ÷ 16 : Remainder = 0
208 ÷ 26 : Remainder = 0
208 ÷ 52 : Remainder = 0
208 ÷ 104 : Remainder = 0
208 ÷ 208 : Remainder = 0

Hence, Factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, and 208

• Is 208 a composite number?

Yes 208 is a composite number.

• Is 208 a prime number?

No 208 is not a prime number.

• Write five multiples of 208.

Five multiples of 208 are 416, 624, 832, 1040, 1248.

• Write all odd factors of 208?

The factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208.
Odd factors of 208 are 1 , 13.

• What is the mean of all prime factors of 208?

Factors of 208 are 1 , 2 , 4 , 8 , 13 , 16 , 26 , 52 , 104 , 208. Prime factors of 208 are 2 , 2 , 2 , 2 , 13. Therefore mean of prime factors of 208 is (2 + 2 + 2 + 2 + 13) / 5 = 4.20.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 208 but she is finding it difficult. Can you help her find out?

Factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208. So, factors of 208 in pair are (1,208), (2,104), (4,52), (8,26), (13,16).

Sammy wants to write all the negative factors of 208 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 208 are -1, -2, -4, -8, -13, -16, -26, -52, -104, -208. Hence, factors of 208 in pair are (-1,-208), (-2,-104), (-4,-52), (-8,-26), (-13,-16).

Help Deep in writing the positive factors of 208 in pair and negative factor of 208 in pair.

Factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208. Positive factors of 208 in pair are (1,208), (2,104), (4,52), (8,26), (13,16). Negative factors of 208 in pair are (-1,-208), (-2,-104), (-4,-52), (-8,-26), (-13,-16).

Find the product of all factors of 208.

Factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208. So the product of all factors of 208 would be 1 x 2 x 4 x 8 x 13 x 16 x 26 x 52 x 104 x 208 = 389328928768.

Find the product of all prime factors of 208.

Factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208. Prime factors are 2, 2, 2, 2, 13. So, the product of all prime factors of 208 would be 2 x 2 x 2 x 2 x 13 = 208.

Can you help Sammy list the factors of 208 and also find the factor pairs?

Factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208.
Factors of 208 in pair are (1,208), (2,104), (4,52), (8,26), (13,16).

Sammy has 208 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 208 blocks in all possible ways to form a rectangle, we need to calculate factors of 208 in pair. Therefore, factors of 208 in pair are (1,208), (2,104), (4,52), (8,26), (13,16)