Factors of 1224 in pair

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Factors of 1224 in pair are (1, 1224) , (2, 612) , (3, 408) , (4, 306) , (6, 204) , (8, 153) , (9, 136) , (12, 102) , (17, 72) , (18, 68) , (24, 51) and (34, 36)

How to find factors of a number in pair

Steps to find factors of 1224 in pair

Find all the numbers that would divide 1224 without leaving any remainder. Starting with the number 1 upto 612 (half of 1224). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 1224, and read off the answer!

Example: Find factors of 1224 in pair

Factor Pair	Pair Factorization
1 and 1224	1 x 1224 = 1224
2 and 612	2 x 612 = 1224
3 and 408	3 x 408 = 1224
4 and 306	4 x 306 = 1224
6 and 204	6 x 204 = 1224
8 and 153	8 x 153 = 1224
9 and 136	9 x 136 = 1224
12 and 102	12 x 102 = 1224
17 and 72	17 x 72 = 1224
18 and 68	18 x 68 = 1224
24 and 51	24 x 51 = 1224
34 and 36	34 x 36 = 1224

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 1224. They are called negative pair factors.

Hence, the negative pairs of 1224 would be ( -1 , -1224 ) .

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 1224 are 1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 17 , 18 , 24 , 34 , 36 , 51 , 68 , 72 , 102 , 136 , 153 , 204 , 306 , 408 , 612 , 1224. So, factors of 1224 in pair are (1,1224), (2,612), (3,408), (4,306), (6,204), (8,153), (9,136), (12,102), (17,72), (18,68), (24,51), (34,36).

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. 1224 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 1224.
Every number is a factor of zero (0), since 1224 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, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612, 1224 are exact divisors of 1224.
Factors of 1224 are 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612, 1224. Each factor divides 1224 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, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612, 1224 are all less than or equal to 1224.

Steps to find Factors of 1224

Step 1. Find all the numbers that would divide 1224 without leaving any remainder. Starting with the number 1 upto 612 (half of 1224). The number 1 and the number itself are always factors of the given number.

1224 ÷ 1 : Remainder = 0

1224 ÷ 2 : Remainder = 0

1224 ÷ 3 : Remainder = 0

1224 ÷ 4 : Remainder = 0

1224 ÷ 6 : Remainder = 0

1224 ÷ 8 : Remainder = 0

1224 ÷ 9 : Remainder = 0

1224 ÷ 12 : Remainder = 0

1224 ÷ 17 : Remainder = 0

1224 ÷ 18 : Remainder = 0

1224 ÷ 24 : Remainder = 0

1224 ÷ 34 : Remainder = 0

1224 ÷ 36 : Remainder = 0

1224 ÷ 51 : Remainder = 0

1224 ÷ 68 : Remainder = 0

1224 ÷ 72 : Remainder = 0

1224 ÷ 102 : Remainder = 0

1224 ÷ 136 : Remainder = 0

1224 ÷ 153 : Remainder = 0

1224 ÷ 204 : Remainder = 0

1224 ÷ 306 : Remainder = 0

1224 ÷ 408 : Remainder = 0

1224 ÷ 612 : Remainder = 0

1224 ÷ 1224 : Remainder = 0

Hence, Factors of 1224 are 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612, and 1224

Frequently Asked Questions

Is 1224 a composite number?
Yes 1224 is a composite number.
Is 1224 a prime number?
No 1224 is not a prime number.
What is the mean of factors of 1224?
Factors of 1224 are 1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 17 , 18 , 24 , 34 , 36 , 51 , 68 , 72 , 102 , 136 , 153 , 204 , 306 , 408 , 612 , 1224. therefore mean of factors of 1224 is (1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 17 + 18 + 24 + 34 + 36 + 51 + 68 + 72 + 102 + 136 + 153 + 204 + 306 + 408 + 612 + 1224) / 24 = 146.25.
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 1224 but she is finding it difficult. Can you help her find out?

Factors of 1224 are 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612, 1224. So, factors of 1224 in pair are (1,1224), (2,612), (3,408), (4,306), (6,204), (8,153), (9,136), (12,102), (17,72), (18,68), (24,51), (34,36).

Sammy wants to write all the negative factors of 1224 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 1224 are -1, -2, -3, -4, -6, -8, -9, -12, -17, -18, -24, -34, -36, -51, -68, -72, -102, -136, -153, -204, -306, -408, -612, -1224. Hence, factors of 1224 in pair are (-1,-1224), (-2,-612), (-3,-408), (-4,-306), (-6,-204), (-8,-153), (-9,-136), (-12,-102), (-17,-72), (-18,-68), (-24,-51), (-34,-36).

Help Deep in writing the positive factors of 1224 in pair and negative factor of 1224 in pair.

Factors of 1224 are 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612, 1224. Positive factors of 1224 in pair are (1,1224), (2,612), (3,408), (4,306), (6,204), (8,153), (9,136), (12,102), (17,72), (18,68), (24,51), (34,36). Negative factors of 1224 in pair are (-1,-1224), (-2,-612), (-3,-408), (-4,-306), (-6,-204), (-8,-153), (-9,-136), (-12,-102), (-17,-72), (-18,-68), (-24,-51), (-34,-36).

Find the product of all factors of 1224.

Factors of 1224 are 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612, 1224. So the product of all factors of 1224 would be 1 x 2 x 3 x 4 x 6 x 8 x 9 x 12 x 17 x 18 x 24 x 34 x 36 x 51 x 68 x 72 x 102 x 136 x 153 x 204 x 306 x 408 x 612 x 1224 = 1.1307771232996102e+37.

Find the product of all prime factors of 1224.

Factors of 1224 are 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612, 1224. Prime factors are 2, 2, 2, 3, 3, 17. So, the product of all prime factors of 1224 would be 2 x 2 x 2 x 3 x 3 x 17 = 1224.

Can you help Sammy list the factors of 1224 and also find the factor pairs?

Factors of 1224 are 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612, 1224.
Factors of 1224 in pair are (1,1224), (2,612), (3,408), (4,306), (6,204), (8,153), (9,136), (12,102), (17,72), (18,68), (24,51), (34,36).

Sammy has 1224 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 1224 blocks in all possible ways to form a rectangle, we need to calculate factors of 1224 in pair. Therefore, factors of 1224 in pair are (1,1224), (2,612), (3,408), (4,306), (6,204), (8,153), (9,136), (12,102), (17,72), (18,68), (24,51), (34,36)