# Factors of 224 in pair

Factors of 224 in pair are (1, 224) , (2, 112) , (4, 56) , (7, 32) , (8, 28) and (14, 16)

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

 1.   Steps to find factors of 224 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 224 in pair

Factor Pair Pair Factorization
1 and 224 1 x 224 = 224
2 and 112 2 x 112 = 224
4 and 56 4 x 56 = 224
7 and 32 7 x 32 = 224
8 and 28 8 x 28 = 224
14 and 16 14 x 16 = 224

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 224. They are called negative pair factors.

Hence, the negative pairs of 224 would be ( -1 , -224 ) .

#### What does factor pairs of a number mean?

Factor pairs are those factors in pair that can give original number when multiplied. Every natural number is a product of atleast one factor pair. Eg- Factors of 224 are 1 , 2 , 4 , 7 , 8 , 14 , 16 , 28 , 32 , 56 , 112 , 224. So, factors of 224 in pair are (1,224), (2,112), (4,56), (7,32), (8,28), (14,16).

#### How can we define factors?

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

#### Properties of Factors

• Each number is a factor of itself. Eg. 224 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 224.
• Every number is a factor of zero (0), since 224 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, 7, 8, 14, 16, 28, 32, 56, 112, 224 are exact divisors of 224.
• Factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224. Each factor divides 224 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224 are all less than or equal to 224.

#### Steps to find Factors of 224

• Step 1. Find all the numbers that would divide 224 without leaving any remainder. Starting with the number 1 upto 112 (half of 224). The number 1 and the number itself are always factors of the given number.
224 ÷ 1 : Remainder = 0
224 ÷ 2 : Remainder = 0
224 ÷ 4 : Remainder = 0
224 ÷ 7 : Remainder = 0
224 ÷ 8 : Remainder = 0
224 ÷ 14 : Remainder = 0
224 ÷ 16 : Remainder = 0
224 ÷ 28 : Remainder = 0
224 ÷ 32 : Remainder = 0
224 ÷ 56 : Remainder = 0
224 ÷ 112 : Remainder = 0
224 ÷ 224 : Remainder = 0

Hence, Factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, and 224

• Is 224 a composite number?

Yes 224 is a composite number.

• Is 224 a prime number?

No 224 is not a prime number.

• Is 224 a perfect square?

No 224 is not a perfect square.

• Write five multiples of 224.

Five multiples of 224 are 448, 672, 896, 1120, 1344.

• Write all odd factors of 224?

The factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224.
Odd factors of 224 are 1 , 7.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 224 but she is finding it difficult. Can you help her find out?

Factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224. So, factors of 224 in pair are (1,224), (2,112), (4,56), (7,32), (8,28), (14,16).

Sammy wants to write all the negative factors of 224 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 224 are -1, -2, -4, -7, -8, -14, -16, -28, -32, -56, -112, -224. Hence, factors of 224 in pair are (-1,-224), (-2,-112), (-4,-56), (-7,-32), (-8,-28), (-14,-16).

Help Deep in writing the positive factors of 224 in pair and negative factor of 224 in pair.

Factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224. Positive factors of 224 in pair are (1,224), (2,112), (4,56), (7,32), (8,28), (14,16). Negative factors of 224 in pair are (-1,-224), (-2,-112), (-4,-56), (-7,-32), (-8,-28), (-14,-16).

Find the product of all factors of 224.

Factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224. So the product of all factors of 224 would be 1 x 2 x 4 x 7 x 8 x 14 x 16 x 28 x 32 x 56 x 112 x 224 = 126324651851776.

Find the product of all prime factors of 224.

Factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224. Prime factors are 2, 2, 2, 2, 2, 7. So, the product of all prime factors of 224 would be 2 x 2 x 2 x 2 x 2 x 7 = 224.

Can you help Sammy list the factors of 224 and also find the factor pairs?

Factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224.
Factors of 224 in pair are (1,224), (2,112), (4,56), (7,32), (8,28), (14,16).

Sammy has 224 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 224 blocks in all possible ways to form a rectangle, we need to calculate factors of 224 in pair. Therefore, factors of 224 in pair are (1,224), (2,112), (4,56), (7,32), (8,28), (14,16)