Factors of 264 in pair

Steps to find factors of 264 in pair

Find all the numbers that would divide 264 without leaving any remainder. Starting with the number 1 upto 132 (half of 264). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 264, and read off the answer!

Example: Find factors of 264 in pair

Factor Pair	Pair Factorization
1 and 264	1 x 264 = 264
2 and 132	2 x 132 = 264
3 and 88	3 x 88 = 264
4 and 66	4 x 66 = 264
6 and 44	6 x 44 = 264
8 and 33	8 x 33 = 264
11 and 24	11 x 24 = 264
12 and 22	12 x 22 = 264

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 264. They are called negative pair factors.

Hence, the negative pairs of 264 would be ( -1 , -264 ) .

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 264 are 1 , 2 , 3 , 4 , 6 , 8 , 11 , 12 , 22 , 24 , 33 , 44 , 66 , 88 , 132 , 264. So, factors of 264 in pair are (1,264), (2,132), (3,88), (4,66), (6,44), (8,33), (11,24), (12,22).

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. 264 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 264.
Every number is a factor of zero (0), since 264 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, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264 are exact divisors of 264.
Factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264. Each factor divides 264 without leaving a remainder.
Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264 are all less than or equal to 264.

Steps to find Factors of 264

Step 1. Find all the numbers that would divide 264 without leaving any remainder. Starting with the number 1 upto 132 (half of 264). The number 1 and the number itself are always factors of the given number.

264 ÷ 1 : Remainder = 0

264 ÷ 2 : Remainder = 0

264 ÷ 3 : Remainder = 0

264 ÷ 4 : Remainder = 0

264 ÷ 6 : Remainder = 0

264 ÷ 8 : Remainder = 0

264 ÷ 11 : Remainder = 0

264 ÷ 12 : Remainder = 0

264 ÷ 22 : Remainder = 0

264 ÷ 24 : Remainder = 0

264 ÷ 33 : Remainder = 0

264 ÷ 44 : Remainder = 0

264 ÷ 66 : Remainder = 0

264 ÷ 88 : Remainder = 0

264 ÷ 132 : Remainder = 0

264 ÷ 264 : Remainder = 0

Hence, Factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, and 264

Frequently Asked Questions

Is 264 a composite number?
Yes 264 is a composite number.
Is 264 a prime number?
No 264 is not a prime number.
What is the mean of factors of 264?
Factors of 264 are 1 , 2 , 3 , 4 , 6 , 8 , 11 , 12 , 22 , 24 , 33 , 44 , 66 , 88 , 132 , 264. therefore mean of factors of 264 is (1 + 2 + 3 + 4 + 6 + 8 + 11 + 12 + 22 + 24 + 33 + 44 + 66 + 88 + 132 + 264) / 16 = 45.00.
What do you mean by proper divisors?
A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.
What do you mean by improper divisors?
An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

Examples of Factors

Ariel has been asked to write all factor pairs of 264 but she is finding it difficult. Can you help her find out?

Factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264. So, factors of 264 in pair are (1,264), (2,132), (3,88), (4,66), (6,44), (8,33), (11,24), (12,22).

Sammy wants to write all the negative factors of 264 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 264 are -1, -2, -3, -4, -6, -8, -11, -12, -22, -24, -33, -44, -66, -88, -132, -264. Hence, factors of 264 in pair are (-1,-264), (-2,-132), (-3,-88), (-4,-66), (-6,-44), (-8,-33), (-11,-24), (-12,-22).

Help Deep in writing the positive factors of 264 in pair and negative factor of 264 in pair.

Factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264. Positive factors of 264 in pair are (1,264), (2,132), (3,88), (4,66), (6,44), (8,33), (11,24), (12,22). Negative factors of 264 in pair are (-1,-264), (-2,-132), (-3,-88), (-4,-66), (-6,-44), (-8,-33), (-11,-24), (-12,-22).

Find the product of all factors of 264.

Factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264. So the product of all factors of 264 would be 1 x 2 x 3 x 4 x 6 x 8 x 11 x 12 x 22 x 24 x 33 x 44 x 66 x 88 x 132 x 264 = 23595621172490797000.

Find the product of all prime factors of 264.

Factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264. Prime factors are 2, 2, 2, 3, 11. So, the product of all prime factors of 264 would be 2 x 2 x 2 x 3 x 11 = 264.

Can you help Sammy list the factors of 264 and also find the factor pairs?

Factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264.
Factors of 264 in pair are (1,264), (2,132), (3,88), (4,66), (6,44), (8,33), (11,24), (12,22).

Sammy has 264 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 264 blocks in all possible ways to form a rectangle, we need to calculate factors of 264 in pair. Therefore, factors of 264 in pair are (1,264), (2,132), (3,88), (4,66), (6,44), (8,33), (11,24), (12,22)

How to find factors of a number in pair