# Factors of 304 in pair

Factors of 304 in pair are (1, 304) , (2, 152) , (4, 76) , (8, 38) and (16, 19)

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

 1.   Steps to find factors of 304 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 304 in pair

Factor Pair Pair Factorization
1 and 304 1 x 304 = 304
2 and 152 2 x 152 = 304
4 and 76 4 x 76 = 304
8 and 38 8 x 38 = 304
16 and 19 16 x 19 = 304

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 304. They are called negative pair factors.

Hence, the negative pairs of 304 would be ( -1 , -304 ) .

#### 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 304 are 1 , 2 , 4 , 8 , 16 , 19 , 38 , 76 , 152 , 304. So, factors of 304 in pair are (1,304), (2,152), (4,76), (8,38), (16,19).

#### 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. 304 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 304.
• Every number is a factor of zero (0), since 304 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, 19, 38, 76, 152, 304 are exact divisors of 304.
• Factors of 304 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304. Each factor divides 304 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 8, 16, 19, 38, 76, 152, 304 are all less than or equal to 304.

#### Steps to find Factors of 304

• Step 1. Find all the numbers that would divide 304 without leaving any remainder. Starting with the number 1 upto 152 (half of 304). The number 1 and the number itself are always factors of the given number.
304 ÷ 1 : Remainder = 0
304 ÷ 2 : Remainder = 0
304 ÷ 4 : Remainder = 0
304 ÷ 8 : Remainder = 0
304 ÷ 16 : Remainder = 0
304 ÷ 19 : Remainder = 0
304 ÷ 38 : Remainder = 0
304 ÷ 76 : Remainder = 0
304 ÷ 152 : Remainder = 0
304 ÷ 304 : Remainder = 0

Hence, Factors of 304 are 1, 2, 4, 8, 16, 19, 38, 76, 152, and 304

• Is 304 a composite number?

Yes 304 is a composite number.

• Is 304 a prime number?

No 304 is not a prime number.

• Write five multiples of 304.

Five multiples of 304 are 608, 912, 1216, 1520, 1824.

• Write all odd factors of 304?

The factors of 304 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304.
Odd factors of 304 are 1 , 19.

• What is the mean of all prime factors of 304?

Factors of 304 are 1 , 2 , 4 , 8 , 16 , 19 , 38 , 76 , 152 , 304. Prime factors of 304 are 2 , 2 , 2 , 2 , 19. Therefore mean of prime factors of 304 is (2 + 2 + 2 + 2 + 19) / 5 = 5.40.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 304 but she is finding it difficult. Can you help her find out?

Factors of 304 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304. So, factors of 304 in pair are (1,304), (2,152), (4,76), (8,38), (16,19).

Sammy wants to write all the negative factors of 304 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 304 are -1, -2, -4, -8, -16, -19, -38, -76, -152, -304. Hence, factors of 304 in pair are (-1,-304), (-2,-152), (-4,-76), (-8,-38), (-16,-19).

Help Deep in writing the positive factors of 304 in pair and negative factor of 304 in pair.

Factors of 304 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304. Positive factors of 304 in pair are (1,304), (2,152), (4,76), (8,38), (16,19). Negative factors of 304 in pair are (-1,-304), (-2,-152), (-4,-76), (-8,-38), (-16,-19).

Find the product of all factors of 304.

Factors of 304 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304. So the product of all factors of 304 would be 1 x 2 x 4 x 8 x 16 x 19 x 38 x 76 x 152 x 304 = 2596377985024.

Find the product of all prime factors of 304.

Factors of 304 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304. Prime factors are 2, 2, 2, 2, 19. So, the product of all prime factors of 304 would be 2 x 2 x 2 x 2 x 19 = 304.

Can you help Sammy list the factors of 304 and also find the factor pairs?

Factors of 304 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304.
Factors of 304 in pair are (1,304), (2,152), (4,76), (8,38), (16,19).

Sammy has 304 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 304 blocks in all possible ways to form a rectangle, we need to calculate factors of 304 in pair. Therefore, factors of 304 in pair are (1,304), (2,152), (4,76), (8,38), (16,19)