Factors of 9216 in pair

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Factors of 9216 in pair are (1, 9216) , (2, 4608) , (3, 3072) , (4, 2304) , (6, 1536) , (8, 1152) , (9, 1024) , (12, 768) , (16, 576) , (18, 512) , (24, 384) , (32, 288) , (36, 256) , (48, 192) , (64, 144) , (72, 128) and (96, 96)

How to find factors of a number in pair

Steps to find factors of 9216 in pair

Find all the numbers that would divide 9216 without leaving any remainder. Starting with the number 1 upto 4608 (half of 9216). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 9216, and read off the answer!

Example: Find factors of 9216 in pair

Factor Pair	Pair Factorization
1 and 9216	1 x 9216 = 9216
2 and 4608	2 x 4608 = 9216
3 and 3072	3 x 3072 = 9216
4 and 2304	4 x 2304 = 9216
6 and 1536	6 x 1536 = 9216
8 and 1152	8 x 1152 = 9216
9 and 1024	9 x 1024 = 9216
12 and 768	12 x 768 = 9216
16 and 576	16 x 576 = 9216
18 and 512	18 x 512 = 9216
24 and 384	24 x 384 = 9216
32 and 288	32 x 288 = 9216
36 and 256	36 x 256 = 9216
48 and 192	48 x 192 = 9216
64 and 144	64 x 144 = 9216
72 and 128	72 x 128 = 9216
96 and 96	96 x 96 = 9216

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 9216. They are called negative pair factors.

Hence, the negative pairs of 9216 would be ( -1 , -9216 ) .

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 9216 are 1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 16 , 18 , 24 , 32 , 36 , 48 , 64 , 72 , 96 , 128 , 144 , 192 , 256 , 288 , 384 , 512 , 576 , 768 , 1024 , 1152 , 1536 , 2304 , 3072 , 4608 , 9216. So, factors of 9216 in pair are (1,9216), (2,4608), (3,3072), (4,2304), (6,1536), (8,1152), (9,1024), (12,768), (16,576), (18,512), (24,384), (32,288), (36,256), (48,192), (64,144), (72,128), (96,96).

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. 9216 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 9216.
Every number is a factor of zero (0), since 9216 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, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1024, 1152, 1536, 2304, 3072, 4608, 9216 are exact divisors of 9216.
Factors of 9216 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1024, 1152, 1536, 2304, 3072, 4608, 9216. Each factor divides 9216 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, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1024, 1152, 1536, 2304, 3072, 4608, 9216 are all less than or equal to 9216.

Steps to find Factors of 9216

Step 1. Find all the numbers that would divide 9216 without leaving any remainder. Starting with the number 1 upto 4608 (half of 9216). The number 1 and the number itself are always factors of the given number.

9216 ÷ 1 : Remainder = 0

9216 ÷ 2 : Remainder = 0

9216 ÷ 3 : Remainder = 0

9216 ÷ 4 : Remainder = 0

9216 ÷ 6 : Remainder = 0

9216 ÷ 8 : Remainder = 0

9216 ÷ 9 : Remainder = 0

9216 ÷ 12 : Remainder = 0

9216 ÷ 16 : Remainder = 0

9216 ÷ 18 : Remainder = 0

9216 ÷ 24 : Remainder = 0

9216 ÷ 32 : Remainder = 0

9216 ÷ 36 : Remainder = 0

9216 ÷ 48 : Remainder = 0

9216 ÷ 64 : Remainder = 0

9216 ÷ 72 : Remainder = 0

9216 ÷ 96 : Remainder = 0

9216 ÷ 128 : Remainder = 0

9216 ÷ 144 : Remainder = 0

9216 ÷ 192 : Remainder = 0

9216 ÷ 256 : Remainder = 0

9216 ÷ 288 : Remainder = 0

9216 ÷ 384 : Remainder = 0

9216 ÷ 512 : Remainder = 0

9216 ÷ 576 : Remainder = 0

9216 ÷ 768 : Remainder = 0

9216 ÷ 1024 : Remainder = 0

9216 ÷ 1152 : Remainder = 0

9216 ÷ 1536 : Remainder = 0

9216 ÷ 2304 : Remainder = 0

9216 ÷ 3072 : Remainder = 0

9216 ÷ 4608 : Remainder = 0

9216 ÷ 9216 : Remainder = 0

Hence, Factors of 9216 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1024, 1152, 1536, 2304, 3072, 4608, and 9216

Frequently Asked Questions

Is 9216 a composite number?
Yes 9216 is a composite number.
Is 9216 a prime number?
No 9216 is not a prime number.
What is the mean of factors of 9216?
Factors of 9216 are 1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 16 , 18 , 24 , 32 , 36 , 48 , 64 , 72 , 96 , 128 , 144 , 192 , 256 , 288 , 384 , 512 , 576 , 768 , 1024 , 1152 , 1536 , 2304 , 3072 , 4608 , 9216. therefore mean of factors of 9216 is (1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 16 + 18 + 24 + 32 + 36 + 48 + 64 + 72 + 96 + 128 + 144 + 192 + 256 + 288 + 384 + 512 + 576 + 768 + 1024 + 1152 + 1536 + 2304 + 3072 + 4608 + 9216) / 33 = 806.39.
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 9216 but she is finding it difficult. Can you help her find out?

Factors of 9216 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1024, 1152, 1536, 2304, 3072, 4608, 9216. So, factors of 9216 in pair are (1,9216), (2,4608), (3,3072), (4,2304), (6,1536), (8,1152), (9,1024), (12,768), (16,576), (18,512), (24,384), (32,288), (36,256), (48,192), (64,144), (72,128), (96,96).

Sammy wants to write all the negative factors of 9216 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 9216 are -1, -2, -3, -4, -6, -8, -9, -12, -16, -18, -24, -32, -36, -48, -64, -72, -96, -128, -144, -192, -256, -288, -384, -512, -576, -768, -1024, -1152, -1536, -2304, -3072, -4608, -9216. Hence, factors of 9216 in pair are (-1,-9216), (-2,-4608), (-3,-3072), (-4,-2304), (-6,-1536), (-8,-1152), (-9,-1024), (-12,-768), (-16,-576), (-18,-512), (-24,-384), (-32,-288), (-36,-256), (-48,-192), (-64,-144), (-72,-128), (-96,-96).

Help Deep in writing the positive factors of 9216 in pair and negative factor of 9216 in pair.

Factors of 9216 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1024, 1152, 1536, 2304, 3072, 4608, 9216. Positive factors of 9216 in pair are (1,9216), (2,4608), (3,3072), (4,2304), (6,1536), (8,1152), (9,1024), (12,768), (16,576), (18,512), (24,384), (32,288), (36,256), (48,192), (64,144), (72,128), (96,96). Negative factors of 9216 in pair are (-1,-9216), (-2,-4608), (-3,-3072), (-4,-2304), (-6,-1536), (-8,-1152), (-9,-1024), (-12,-768), (-16,-576), (-18,-512), (-24,-384), (-32,-288), (-36,-256), (-48,-192), (-64,-144), (-72,-128), (-96,-96).

Find the product of all factors of 9216.

Factors of 9216 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1024, 1152, 1536, 2304, 3072, 4608, 9216. So the product of all factors of 9216 would be 1 x 2 x 3 x 4 x 6 x 8 x 9 x 12 x 16 x 18 x 24 x 32 x 36 x 48 x 64 x 72 x 96 x 128 x 144 x 192 x 256 x 288 x 384 x 512 x 576 x 768 x 1024 x 1152 x 1536 x 2304 x 3072 x 4608 x 9216 = 2.599864358413617e+65.

Find the product of all prime factors of 9216.

Factors of 9216 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1024, 1152, 1536, 2304, 3072, 4608, 9216. Prime factors are 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3. So, the product of all prime factors of 9216 would be 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 = 9216.

Can you help Sammy list the factors of 9216 and also find the factor pairs?

Factors of 9216 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1024, 1152, 1536, 2304, 3072, 4608, 9216.
Factors of 9216 in pair are (1,9216), (2,4608), (3,3072), (4,2304), (6,1536), (8,1152), (9,1024), (12,768), (16,576), (18,512), (24,384), (32,288), (36,256), (48,192), (64,144), (72,128), (96,96).

Sammy has 9216 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 9216 blocks in all possible ways to form a rectangle, we need to calculate factors of 9216 in pair. Therefore, factors of 9216 in pair are (1,9216), (2,4608), (3,3072), (4,2304), (6,1536), (8,1152), (9,1024), (12,768), (16,576), (18,512), (24,384), (32,288), (36,256), (48,192), (64,144), (72,128), (96,96)