Factors of 864 in pair

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Factors of 864 in pair are (1, 864) , (2, 432) , (3, 288) , (4, 216) , (6, 144) , (8, 108) , (9, 96) , (12, 72) , (16, 54) , (18, 48) , (24, 36) and (27, 32)

How to find factors of a number in pair

Steps to find factors of 864 in pair

Find all the numbers that would divide 864 without leaving any remainder. Starting with the number 1 upto 432 (half of 864). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 864, and read off the answer!

Example: Find factors of 864 in pair

Factor Pair	Pair Factorization
1 and 864	1 x 864 = 864
2 and 432	2 x 432 = 864
3 and 288	3 x 288 = 864
4 and 216	4 x 216 = 864
6 and 144	6 x 144 = 864
8 and 108	8 x 108 = 864
9 and 96	9 x 96 = 864
12 and 72	12 x 72 = 864
16 and 54	16 x 54 = 864
18 and 48	18 x 48 = 864
24 and 36	24 x 36 = 864
27 and 32	27 x 32 = 864

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 864. They are called negative pair factors.

Hence, the negative pairs of 864 would be ( -1 , -864 ) .

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 864 are 1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 16 , 18 , 24 , 27 , 32 , 36 , 48 , 54 , 72 , 96 , 108 , 144 , 216 , 288 , 432 , 864. So, factors of 864 in pair are (1,864), (2,432), (3,288), (4,216), (6,144), (8,108), (9,96), (12,72), (16,54), (18,48), (24,36), (27,32).

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. 864 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 864.
Every number is a factor of zero (0), since 864 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, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864 are exact divisors of 864.
Factors of 864 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864. Each factor divides 864 without leaving a remainder.
Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864 are all less than or equal to 864.

Steps to find Factors of 864

Step 1. Find all the numbers that would divide 864 without leaving any remainder. Starting with the number 1 upto 432 (half of 864). The number 1 and the number itself are always factors of the given number.

864 ÷ 1 : Remainder = 0

864 ÷ 2 : Remainder = 0

864 ÷ 3 : Remainder = 0

864 ÷ 4 : Remainder = 0

864 ÷ 6 : Remainder = 0

864 ÷ 8 : Remainder = 0

864 ÷ 9 : Remainder = 0

864 ÷ 12 : Remainder = 0

864 ÷ 16 : Remainder = 0

864 ÷ 18 : Remainder = 0

864 ÷ 24 : Remainder = 0

864 ÷ 27 : Remainder = 0

864 ÷ 32 : Remainder = 0

864 ÷ 36 : Remainder = 0

864 ÷ 48 : Remainder = 0

864 ÷ 54 : Remainder = 0

864 ÷ 72 : Remainder = 0

864 ÷ 96 : Remainder = 0

864 ÷ 108 : Remainder = 0

864 ÷ 144 : Remainder = 0

864 ÷ 216 : Remainder = 0

864 ÷ 288 : Remainder = 0

864 ÷ 432 : Remainder = 0

864 ÷ 864 : Remainder = 0

Hence, Factors of 864 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, and 864

Frequently Asked Questions

Is 864 a composite number?
Yes 864 is a composite number.
Is 864 a prime number?
No 864 is not a prime number.
What is the mean of factors of 864?
Factors of 864 are 1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 16 , 18 , 24 , 27 , 32 , 36 , 48 , 54 , 72 , 96 , 108 , 144 , 216 , 288 , 432 , 864. therefore mean of factors of 864 is (1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 16 + 18 + 24 + 27 + 32 + 36 + 48 + 54 + 72 + 96 + 108 + 144 + 216 + 288 + 432 + 864) / 24 = 105.00.
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 864 but she is finding it difficult. Can you help her find out?

Factors of 864 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864. So, factors of 864 in pair are (1,864), (2,432), (3,288), (4,216), (6,144), (8,108), (9,96), (12,72), (16,54), (18,48), (24,36), (27,32).

Sammy wants to write all the negative factors of 864 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 864 are -1, -2, -3, -4, -6, -8, -9, -12, -16, -18, -24, -27, -32, -36, -48, -54, -72, -96, -108, -144, -216, -288, -432, -864. Hence, factors of 864 in pair are (-1,-864), (-2,-432), (-3,-288), (-4,-216), (-6,-144), (-8,-108), (-9,-96), (-12,-72), (-16,-54), (-18,-48), (-24,-36), (-27,-32).

Help Deep in writing the positive factors of 864 in pair and negative factor of 864 in pair.

Factors of 864 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864. Positive factors of 864 in pair are (1,864), (2,432), (3,288), (4,216), (6,144), (8,108), (9,96), (12,72), (16,54), (18,48), (24,36), (27,32). Negative factors of 864 in pair are (-1,-864), (-2,-432), (-3,-288), (-4,-216), (-6,-144), (-8,-108), (-9,-96), (-12,-72), (-16,-54), (-18,-48), (-24,-36), (-27,-32).

Find the product of all factors of 864.

Factors of 864 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864. So the product of all factors of 864 would be 1 x 2 x 3 x 4 x 6 x 8 x 9 x 12 x 16 x 18 x 24 x 27 x 32 x 36 x 48 x 54 x 72 x 96 x 108 x 144 x 216 x 288 x 432 x 864 = 1.730473327600322e+35.

Find the product of all prime factors of 864.

Factors of 864 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864. Prime factors are 2, 2, 2, 2, 2, 3, 3, 3. So, the product of all prime factors of 864 would be 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 = 864.

Can you help Sammy list the factors of 864 and also find the factor pairs?

Factors of 864 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864.
Factors of 864 in pair are (1,864), (2,432), (3,288), (4,216), (6,144), (8,108), (9,96), (12,72), (16,54), (18,48), (24,36), (27,32).

Sammy has 864 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 864 blocks in all possible ways to form a rectangle, we need to calculate factors of 864 in pair. Therefore, factors of 864 in pair are (1,864), (2,432), (3,288), (4,216), (6,144), (8,108), (9,96), (12,72), (16,54), (18,48), (24,36), (27,32)