Factors of 3024 in pair

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Factors of 3024 in pair are (1, 3024) , (2, 1512) , (3, 1008) , (4, 756) , (6, 504) , (7, 432) , (8, 378) , (9, 336) , (12, 252) , (14, 216) , (16, 189) , (18, 168) , (21, 144) , (24, 126) , (27, 112) , (28, 108) , (36, 84) , (42, 72) , (48, 63) and (54, 56)

How to find factors of a number in pair

Steps to find factors of 3024 in pair

Find all the numbers that would divide 3024 without leaving any remainder. Starting with the number 1 upto 1512 (half of 3024). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 3024, and read off the answer!

Example: Find factors of 3024 in pair

Factor Pair	Pair Factorization
1 and 3024	1 x 3024 = 3024
2 and 1512	2 x 1512 = 3024
3 and 1008	3 x 1008 = 3024
4 and 756	4 x 756 = 3024
6 and 504	6 x 504 = 3024
7 and 432	7 x 432 = 3024
8 and 378	8 x 378 = 3024
9 and 336	9 x 336 = 3024
12 and 252	12 x 252 = 3024
14 and 216	14 x 216 = 3024
16 and 189	16 x 189 = 3024
18 and 168	18 x 168 = 3024
21 and 144	21 x 144 = 3024
24 and 126	24 x 126 = 3024
27 and 112	27 x 112 = 3024
28 and 108	28 x 108 = 3024
36 and 84	36 x 84 = 3024
42 and 72	42 x 72 = 3024
48 and 63	48 x 63 = 3024
54 and 56	54 x 56 = 3024

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 3024. They are called negative pair factors.

Hence, the negative pairs of 3024 would be ( -1 , -3024 ) .

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 3024 are 1 , 2 , 3 , 4 , 6 , 7 , 8 , 9 , 12 , 14 , 16 , 18 , 21 , 24 , 27 , 28 , 36 , 42 , 48 , 54 , 56 , 63 , 72 , 84 , 108 , 112 , 126 , 144 , 168 , 189 , 216 , 252 , 336 , 378 , 432 , 504 , 756 , 1008 , 1512 , 3024. So, factors of 3024 in pair are (1,3024), (2,1512), (3,1008), (4,756), (6,504), (7,432), (8,378), (9,336), (12,252), (14,216), (16,189), (18,168), (21,144), (24,126), (27,112), (28,108), (36,84), (42,72), (48,63), (54,56).

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. 3024 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 3024.
Every number is a factor of zero (0), since 3024 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, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 84, 108, 112, 126, 144, 168, 189, 216, 252, 336, 378, 432, 504, 756, 1008, 1512, 3024 are exact divisors of 3024.
Factors of 3024 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 84, 108, 112, 126, 144, 168, 189, 216, 252, 336, 378, 432, 504, 756, 1008, 1512, 3024. Each factor divides 3024 without leaving a remainder.
Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 84, 108, 112, 126, 144, 168, 189, 216, 252, 336, 378, 432, 504, 756, 1008, 1512, 3024 are all less than or equal to 3024.

Steps to find Factors of 3024

Step 1. Find all the numbers that would divide 3024 without leaving any remainder. Starting with the number 1 upto 1512 (half of 3024). The number 1 and the number itself are always factors of the given number.

3024 ÷ 1 : Remainder = 0

3024 ÷ 2 : Remainder = 0

3024 ÷ 3 : Remainder = 0

3024 ÷ 4 : Remainder = 0

3024 ÷ 6 : Remainder = 0

3024 ÷ 7 : Remainder = 0

3024 ÷ 8 : Remainder = 0

3024 ÷ 9 : Remainder = 0

3024 ÷ 12 : Remainder = 0

3024 ÷ 14 : Remainder = 0

3024 ÷ 16 : Remainder = 0

3024 ÷ 18 : Remainder = 0

3024 ÷ 21 : Remainder = 0

3024 ÷ 24 : Remainder = 0

3024 ÷ 27 : Remainder = 0

3024 ÷ 28 : Remainder = 0

3024 ÷ 36 : Remainder = 0

3024 ÷ 42 : Remainder = 0

3024 ÷ 48 : Remainder = 0

3024 ÷ 54 : Remainder = 0

3024 ÷ 56 : Remainder = 0

3024 ÷ 63 : Remainder = 0

3024 ÷ 72 : Remainder = 0

3024 ÷ 84 : Remainder = 0

3024 ÷ 108 : Remainder = 0

3024 ÷ 112 : Remainder = 0

3024 ÷ 126 : Remainder = 0

3024 ÷ 144 : Remainder = 0

3024 ÷ 168 : Remainder = 0

3024 ÷ 189 : Remainder = 0

3024 ÷ 216 : Remainder = 0

3024 ÷ 252 : Remainder = 0

3024 ÷ 336 : Remainder = 0

3024 ÷ 378 : Remainder = 0

3024 ÷ 432 : Remainder = 0

3024 ÷ 504 : Remainder = 0

3024 ÷ 756 : Remainder = 0

3024 ÷ 1008 : Remainder = 0

3024 ÷ 1512 : Remainder = 0

3024 ÷ 3024 : Remainder = 0

Hence, Factors of 3024 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 84, 108, 112, 126, 144, 168, 189, 216, 252, 336, 378, 432, 504, 756, 1008, 1512, and 3024

Frequently Asked Questions

Is 3024 a composite number?
Yes 3024 is a composite number.
Is 3024 a prime number?
No 3024 is not a prime number.
What is the mean of factors of 3024?
Factors of 3024 are 1 , 2 , 3 , 4 , 6 , 7 , 8 , 9 , 12 , 14 , 16 , 18 , 21 , 24 , 27 , 28 , 36 , 42 , 48 , 54 , 56 , 63 , 72 , 84 , 108 , 112 , 126 , 144 , 168 , 189 , 216 , 252 , 336 , 378 , 432 , 504 , 756 , 1008 , 1512 , 3024. therefore mean of factors of 3024 is (1 + 2 + 3 + 4 + 6 + 7 + 8 + 9 + 12 + 14 + 16 + 18 + 21 + 24 + 27 + 28 + 36 + 42 + 48 + 54 + 56 + 63 + 72 + 84 + 108 + 112 + 126 + 144 + 168 + 189 + 216 + 252 + 336 + 378 + 432 + 504 + 756 + 1008 + 1512 + 3024) / 40 = 248.00.
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 3024 but she is finding it difficult. Can you help her find out?

Factors of 3024 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 84, 108, 112, 126, 144, 168, 189, 216, 252, 336, 378, 432, 504, 756, 1008, 1512, 3024. So, factors of 3024 in pair are (1,3024), (2,1512), (3,1008), (4,756), (6,504), (7,432), (8,378), (9,336), (12,252), (14,216), (16,189), (18,168), (21,144), (24,126), (27,112), (28,108), (36,84), (42,72), (48,63), (54,56).

Sammy wants to write all the negative factors of 3024 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 3024 are -1, -2, -3, -4, -6, -7, -8, -9, -12, -14, -16, -18, -21, -24, -27, -28, -36, -42, -48, -54, -56, -63, -72, -84, -108, -112, -126, -144, -168, -189, -216, -252, -336, -378, -432, -504, -756, -1008, -1512, -3024. Hence, factors of 3024 in pair are (-1,-3024), (-2,-1512), (-3,-1008), (-4,-756), (-6,-504), (-7,-432), (-8,-378), (-9,-336), (-12,-252), (-14,-216), (-16,-189), (-18,-168), (-21,-144), (-24,-126), (-27,-112), (-28,-108), (-36,-84), (-42,-72), (-48,-63), (-54,-56).

Help Deep in writing the positive factors of 3024 in pair and negative factor of 3024 in pair.

Factors of 3024 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 84, 108, 112, 126, 144, 168, 189, 216, 252, 336, 378, 432, 504, 756, 1008, 1512, 3024. Positive factors of 3024 in pair are (1,3024), (2,1512), (3,1008), (4,756), (6,504), (7,432), (8,378), (9,336), (12,252), (14,216), (16,189), (18,168), (21,144), (24,126), (27,112), (28,108), (36,84), (42,72), (48,63), (54,56). Negative factors of 3024 in pair are (-1,-3024), (-2,-1512), (-3,-1008), (-4,-756), (-6,-504), (-7,-432), (-8,-378), (-9,-336), (-12,-252), (-14,-216), (-16,-189), (-18,-168), (-21,-144), (-24,-126), (-27,-112), (-28,-108), (-36,-84), (-42,-72), (-48,-63), (-54,-56).

Find the product of all factors of 3024.

Factors of 3024 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 84, 108, 112, 126, 144, 168, 189, 216, 252, 336, 378, 432, 504, 756, 1008, 1512, 3024. So the product of all factors of 3024 would be 1 x 2 x 3 x 4 x 6 x 7 x 8 x 9 x 12 x 14 x 16 x 18 x 21 x 24 x 27 x 28 x 36 x 42 x 48 x 54 x 56 x 63 x 72 x 84 x 108 x 112 x 126 x 144 x 168 x 189 x 216 x 252 x 336 x 378 x 432 x 504 x 756 x 1008 x 1512 x 3024 = 4.0891753728614274e+69.

Find the product of all prime factors of 3024.

Factors of 3024 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 84, 108, 112, 126, 144, 168, 189, 216, 252, 336, 378, 432, 504, 756, 1008, 1512, 3024. Prime factors are 2, 2, 2, 2, 3, 3, 3, 7. So, the product of all prime factors of 3024 would be 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 = 3024.

Can you help Sammy list the factors of 3024 and also find the factor pairs?

Factors of 3024 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 84, 108, 112, 126, 144, 168, 189, 216, 252, 336, 378, 432, 504, 756, 1008, 1512, 3024.
Factors of 3024 in pair are (1,3024), (2,1512), (3,1008), (4,756), (6,504), (7,432), (8,378), (9,336), (12,252), (14,216), (16,189), (18,168), (21,144), (24,126), (27,112), (28,108), (36,84), (42,72), (48,63), (54,56).

Sammy has 3024 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 3024 blocks in all possible ways to form a rectangle, we need to calculate factors of 3024 in pair. Therefore, factors of 3024 in pair are (1,3024), (2,1512), (3,1008), (4,756), (6,504), (7,432), (8,378), (9,336), (12,252), (14,216), (16,189), (18,168), (21,144), (24,126), (27,112), (28,108), (36,84), (42,72), (48,63), (54,56)