# Factors of 296 in pair

Factors of 296 in pair are (1, 296) , (2, 148) , (4, 74) and (8, 37)

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

 1.   Steps to find factors of 296 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 296 in pair

Factor Pair Pair Factorization
1 and 296 1 x 296 = 296
2 and 148 2 x 148 = 296
4 and 74 4 x 74 = 296
8 and 37 8 x 37 = 296

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 296. They are called negative pair factors.

Hence, the negative pairs of 296 would be ( -1 , -296 ) .

#### 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 296 are 1 , 2 , 4 , 8 , 37 , 74 , 148 , 296. So, factors of 296 in pair are (1,296), (2,148), (4,74), (8,37).

#### 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. 296 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 296.
• Every number is a factor of zero (0), since 296 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, 37, 74, 148, 296 are exact divisors of 296.
• Factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296. Each factor divides 296 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 8, 37, 74, 148, 296 are all less than or equal to 296.

#### Steps to find Factors of 296

• Step 1. Find all the numbers that would divide 296 without leaving any remainder. Starting with the number 1 upto 148 (half of 296). The number 1 and the number itself are always factors of the given number.
296 ÷ 1 : Remainder = 0
296 ÷ 2 : Remainder = 0
296 ÷ 4 : Remainder = 0
296 ÷ 8 : Remainder = 0
296 ÷ 37 : Remainder = 0
296 ÷ 74 : Remainder = 0
296 ÷ 148 : Remainder = 0
296 ÷ 296 : Remainder = 0

Hence, Factors of 296 are 1, 2, 4, 8, 37, 74, 148, and 296

• Is 296 a composite number?

Yes 296 is a composite number.

• Is 296 a prime number?

No 296 is not a prime number.

• Is 296 a perfect square?

No 296 is not a perfect square.

• Write five multiples of 296.

Five multiples of 296 are 592, 888, 1184, 1480, 1776.

• Write all odd factors of 296?

The factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296.
Odd factors of 296 are 1 , 37.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 296 but she is finding it difficult. Can you help her find out?

Factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296. So, factors of 296 in pair are (1,296), (2,148), (4,74), (8,37).

Sammy wants to write all the negative factors of 296 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 296 are -1, -2, -4, -8, -37, -74, -148, -296. Hence, factors of 296 in pair are (-1,-296), (-2,-148), (-4,-74), (-8,-37).

Help Deep in writing the positive factors of 296 in pair and negative factor of 296 in pair.

Factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296. Positive factors of 296 in pair are (1,296), (2,148), (4,74), (8,37). Negative factors of 296 in pair are (-1,-296), (-2,-148), (-4,-74), (-8,-37).

Find the product of all factors of 296.

Factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296. So the product of all factors of 296 would be 1 x 2 x 4 x 8 x 37 x 74 x 148 x 296 = 7676563456.

Find the product of all prime factors of 296.

Factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296. Prime factors are 2, 2, 2, 37. So, the product of all prime factors of 296 would be 2 x 2 x 2 x 37 = 296.

Can you help Sammy list the factors of 296 and also find the factor pairs?

Factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296.
Factors of 296 in pair are (1,296), (2,148), (4,74), (8,37).

Sammy has 296 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 296 blocks in all possible ways to form a rectangle, we need to calculate factors of 296 in pair. Therefore, factors of 296 in pair are (1,296), (2,148), (4,74), (8,37)