# Factors of 1944 in pair

Factors of 1944 in pair are (1, 1944) , (2, 972) , (3, 648) , (4, 486) , (6, 324) , (8, 243) , (9, 216) , (12, 162) , (18, 108) , (24, 81) , (27, 72) and (36, 54)

#### How to find factors of a number in pair

 1.   Steps to find factors of 1944 in pair 2.   What is factors of a number in pair? 3.   What are Factors? 4.   Frequently Asked Questions 5.   Examples of factors in pair

### Example: Find factors of 1944 in pair

Factor Pair Pair Factorization
1 and 1944 1 x 1944 = 1944
2 and 972 2 x 972 = 1944
3 and 648 3 x 648 = 1944
4 and 486 4 x 486 = 1944
6 and 324 6 x 324 = 1944
8 and 243 8 x 243 = 1944
9 and 216 9 x 216 = 1944
12 and 162 12 x 162 = 1944
18 and 108 18 x 108 = 1944
24 and 81 24 x 81 = 1944
27 and 72 27 x 72 = 1944
36 and 54 36 x 54 = 1944

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 1944. They are called negative pair factors.

Hence, the negative pairs of 1944 would be ( -1 , -1944 ) .

#### 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 1944 are 1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 18 , 24 , 27 , 36 , 54 , 72 , 81 , 108 , 162 , 216 , 243 , 324 , 486 , 648 , 972 , 1944. So, factors of 1944 in pair are (1,1944), (2,972), (3,648), (4,486), (6,324), (8,243), (9,216), (12,162), (18,108), (24,81), (27,72), (36,54).

#### 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. 1944 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 1944.
• Every number is a factor of zero (0), since 1944 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, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 972, 1944 are exact divisors of 1944.
• Factors of 1944 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 972, 1944. Each factor divides 1944 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, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 972, 1944 are all less than or equal to 1944.

#### Steps to find Factors of 1944

• Step 1. Find all the numbers that would divide 1944 without leaving any remainder. Starting with the number 1 upto 972 (half of 1944). The number 1 and the number itself are always factors of the given number.
1944 ÷ 1 : Remainder = 0
1944 ÷ 2 : Remainder = 0
1944 ÷ 3 : Remainder = 0
1944 ÷ 4 : Remainder = 0
1944 ÷ 6 : Remainder = 0
1944 ÷ 8 : Remainder = 0
1944 ÷ 9 : Remainder = 0
1944 ÷ 12 : Remainder = 0
1944 ÷ 18 : Remainder = 0
1944 ÷ 24 : Remainder = 0
1944 ÷ 27 : Remainder = 0
1944 ÷ 36 : Remainder = 0
1944 ÷ 54 : Remainder = 0
1944 ÷ 72 : Remainder = 0
1944 ÷ 81 : Remainder = 0
1944 ÷ 108 : Remainder = 0
1944 ÷ 162 : Remainder = 0
1944 ÷ 216 : Remainder = 0
1944 ÷ 243 : Remainder = 0
1944 ÷ 324 : Remainder = 0
1944 ÷ 486 : Remainder = 0
1944 ÷ 648 : Remainder = 0
1944 ÷ 972 : Remainder = 0
1944 ÷ 1944 : Remainder = 0

Hence, Factors of 1944 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 972, and 1944

#### Frequently Asked Questions

• Is 1944 a composite number?

Yes 1944 is a composite number.

• Is 1944 a prime number?

No 1944 is not a prime number.

• What is the mean of factors of 1944?

Factors of 1944 are 1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 18 , 24 , 27 , 36 , 54 , 72 , 81 , 108 , 162 , 216 , 243 , 324 , 486 , 648 , 972 , 1944. therefore mean of factors of 1944 is (1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 18 + 24 + 27 + 36 + 54 + 72 + 81 + 108 + 162 + 216 + 243 + 324 + 486 + 648 + 972 + 1944) / 24 = 227.50.

• 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 1944 but she is finding it difficult. Can you help her find out?

Factors of 1944 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 972, 1944. So, factors of 1944 in pair are (1,1944), (2,972), (3,648), (4,486), (6,324), (8,243), (9,216), (12,162), (18,108), (24,81), (27,72), (36,54).

Sammy wants to write all the negative factors of 1944 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 1944 are -1, -2, -3, -4, -6, -8, -9, -12, -18, -24, -27, -36, -54, -72, -81, -108, -162, -216, -243, -324, -486, -648, -972, -1944. Hence, factors of 1944 in pair are (-1,-1944), (-2,-972), (-3,-648), (-4,-486), (-6,-324), (-8,-243), (-9,-216), (-12,-162), (-18,-108), (-24,-81), (-27,-72), (-36,-54).

Help Deep in writing the positive factors of 1944 in pair and negative factor of 1944 in pair.

Factors of 1944 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 972, 1944. Positive factors of 1944 in pair are (1,1944), (2,972), (3,648), (4,486), (6,324), (8,243), (9,216), (12,162), (18,108), (24,81), (27,72), (36,54). Negative factors of 1944 in pair are (-1,-1944), (-2,-972), (-3,-648), (-4,-486), (-6,-324), (-8,-243), (-9,-216), (-12,-162), (-18,-108), (-24,-81), (-27,-72), (-36,-54).

Find the product of all factors of 1944.

Factors of 1944 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 972, 1944. So the product of all factors of 1944 would be 1 x 2 x 3 x 4 x 6 x 8 x 9 x 12 x 18 x 24 x 27 x 36 x 54 x 72 x 81 x 108 x 162 x 216 x 243 x 324 x 486 x 648 x 972 x 1944 = 2.913098214905814e+39.

Find the product of all prime factors of 1944.

Factors of 1944 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 972, 1944. Prime factors are 2, 2, 2, 3, 3, 3, 3, 3. So, the product of all prime factors of 1944 would be 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 = 1944.

Can you help Sammy list the factors of 1944 and also find the factor pairs?

Factors of 1944 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 972, 1944.
Factors of 1944 in pair are (1,1944), (2,972), (3,648), (4,486), (6,324), (8,243), (9,216), (12,162), (18,108), (24,81), (27,72), (36,54).

Sammy has 1944 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 1944 blocks in all possible ways to form a rectangle, we need to calculate factors of 1944 in pair. Therefore, factors of 1944 in pair are (1,1944), (2,972), (3,648), (4,486), (6,324), (8,243), (9,216), (12,162), (18,108), (24,81), (27,72), (36,54)

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