Factors of 1872 in pair

Go back to 'All factors of a number in pair pages' >

Factors of 1872 in pair are (1, 1872) , (2, 936) , (3, 624) , (4, 468) , (6, 312) , (8, 234) , (9, 208) , (12, 156) , (13, 144) , (16, 117) , (18, 104) , (24, 78) , (26, 72) , (36, 52) and (39, 48)

How to find factors of a number in pair

Steps to find factors of 1872 in pair

Find all the numbers that would divide 1872 without leaving any remainder. Starting with the number 1 upto 936 (half of 1872). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 1872, and read off the answer!

Example: Find factors of 1872 in pair

Factor Pair	Pair Factorization
1 and 1872	1 x 1872 = 1872
2 and 936	2 x 936 = 1872
3 and 624	3 x 624 = 1872
4 and 468	4 x 468 = 1872
6 and 312	6 x 312 = 1872
8 and 234	8 x 234 = 1872
9 and 208	9 x 208 = 1872
12 and 156	12 x 156 = 1872
13 and 144	13 x 144 = 1872
16 and 117	16 x 117 = 1872
18 and 104	18 x 104 = 1872
24 and 78	24 x 78 = 1872
26 and 72	26 x 72 = 1872
36 and 52	36 x 52 = 1872
39 and 48	39 x 48 = 1872

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 1872. They are called negative pair factors.

Hence, the negative pairs of 1872 would be ( -1 , -1872 ) .

How do you define factor pairs of a number?

A factor pair of a number can be defined as the combination of two factors in such a way that when multiplied together produce the number itself. Every natural number is a product of atleast one factor pair. Eg- Factors of 1872 are 1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 13 , 16 , 18 , 24 , 26 , 36 , 39 , 48 , 52 , 72 , 78 , 104 , 117 , 144 , 156 , 208 , 234 , 312 , 468 , 624 , 936 , 1872. So, factors of 1872 in pair are (1,1872), (2,936), (3,624), (4,468), (6,312), (8,234), (9,208), (12,156), (13,144), (16,117), (18,104), (24,78), (26,72), (36,52), (39,48).

How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

Properties of Factors

Each number is a factor of itself. Eg. 1872 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 1872.
Every number is a factor of zero (0), since 1872 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, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 208, 234, 312, 468, 624, 936, 1872 are exact divisors of 1872.
Factors of 1872 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 208, 234, 312, 468, 624, 936, 1872. Each factor divides 1872 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, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 208, 234, 312, 468, 624, 936, 1872 are all less than or equal to 1872.

Steps to find Factors of 1872

Step 1. Find all the numbers that would divide 1872 without leaving any remainder. Starting with the number 1 upto 936 (half of 1872). The number 1 and the number itself are always factors of the given number.

1872 ÷ 1 : Remainder = 0

1872 ÷ 2 : Remainder = 0

1872 ÷ 3 : Remainder = 0

1872 ÷ 4 : Remainder = 0

1872 ÷ 6 : Remainder = 0

1872 ÷ 8 : Remainder = 0

1872 ÷ 9 : Remainder = 0

1872 ÷ 12 : Remainder = 0

1872 ÷ 13 : Remainder = 0

1872 ÷ 16 : Remainder = 0

1872 ÷ 18 : Remainder = 0

1872 ÷ 24 : Remainder = 0

1872 ÷ 26 : Remainder = 0

1872 ÷ 36 : Remainder = 0

1872 ÷ 39 : Remainder = 0

1872 ÷ 48 : Remainder = 0

1872 ÷ 52 : Remainder = 0

1872 ÷ 72 : Remainder = 0

1872 ÷ 78 : Remainder = 0

1872 ÷ 104 : Remainder = 0

1872 ÷ 117 : Remainder = 0

1872 ÷ 144 : Remainder = 0

1872 ÷ 156 : Remainder = 0

1872 ÷ 208 : Remainder = 0

1872 ÷ 234 : Remainder = 0

1872 ÷ 312 : Remainder = 0

1872 ÷ 468 : Remainder = 0

1872 ÷ 624 : Remainder = 0

1872 ÷ 936 : Remainder = 0

1872 ÷ 1872 : Remainder = 0

Hence, Factors of 1872 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 208, 234, 312, 468, 624, 936, and 1872

Frequently Asked Questions

Is 1872 a composite number?
Yes 1872 is a composite number.
Is 1872 a prime number?
No 1872 is not a prime number.
What is the mean of factors of 1872?
Factors of 1872 are 1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 13 , 16 , 18 , 24 , 26 , 36 , 39 , 48 , 52 , 72 , 78 , 104 , 117 , 144 , 156 , 208 , 234 , 312 , 468 , 624 , 936 , 1872. therefore mean of factors of 1872 is (1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 13 + 16 + 18 + 24 + 26 + 36 + 39 + 48 + 52 + 72 + 78 + 104 + 117 + 144 + 156 + 208 + 234 + 312 + 468 + 624 + 936 + 1872) / 30 = 188.07.
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 1872 but she is finding it difficult. Can you help her find out?

Factors of 1872 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 208, 234, 312, 468, 624, 936, 1872. So, factors of 1872 in pair are (1,1872), (2,936), (3,624), (4,468), (6,312), (8,234), (9,208), (12,156), (13,144), (16,117), (18,104), (24,78), (26,72), (36,52), (39,48).

Sammy wants to write all the negative factors of 1872 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 1872 are -1, -2, -3, -4, -6, -8, -9, -12, -13, -16, -18, -24, -26, -36, -39, -48, -52, -72, -78, -104, -117, -144, -156, -208, -234, -312, -468, -624, -936, -1872. Hence, factors of 1872 in pair are (-1,-1872), (-2,-936), (-3,-624), (-4,-468), (-6,-312), (-8,-234), (-9,-208), (-12,-156), (-13,-144), (-16,-117), (-18,-104), (-24,-78), (-26,-72), (-36,-52), (-39,-48).

Help Deep in writing the positive factors of 1872 in pair and negative factor of 1872 in pair.

Factors of 1872 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 208, 234, 312, 468, 624, 936, 1872. Positive factors of 1872 in pair are (1,1872), (2,936), (3,624), (4,468), (6,312), (8,234), (9,208), (12,156), (13,144), (16,117), (18,104), (24,78), (26,72), (36,52), (39,48). Negative factors of 1872 in pair are (-1,-1872), (-2,-936), (-3,-624), (-4,-468), (-6,-312), (-8,-234), (-9,-208), (-12,-156), (-13,-144), (-16,-117), (-18,-104), (-24,-78), (-26,-72), (-36,-52), (-39,-48).

Find the product of all factors of 1872.

Factors of 1872 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 208, 234, 312, 468, 624, 936, 1872. So the product of all factors of 1872 would be 1 x 2 x 3 x 4 x 6 x 8 x 9 x 12 x 13 x 16 x 18 x 24 x 26 x 36 x 39 x 48 x 52 x 72 x 78 x 104 x 117 x 144 x 156 x 208 x 234 x 312 x 468 x 624 x 936 x 1872 = 1.215031860223425e+49.

Find the product of all prime factors of 1872.

Factors of 1872 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 208, 234, 312, 468, 624, 936, 1872. Prime factors are 2, 2, 2, 2, 3, 3, 13. So, the product of all prime factors of 1872 would be 2 x 2 x 2 x 2 x 3 x 3 x 13 = 1872.

Can you help Sammy list the factors of 1872 and also find the factor pairs?

Factors of 1872 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 208, 234, 312, 468, 624, 936, 1872.
Factors of 1872 in pair are (1,1872), (2,936), (3,624), (4,468), (6,312), (8,234), (9,208), (12,156), (13,144), (16,117), (18,104), (24,78), (26,72), (36,52), (39,48).

Sammy has 1872 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 1872 blocks in all possible ways to form a rectangle, we need to calculate factors of 1872 in pair. Therefore, factors of 1872 in pair are (1,1872), (2,936), (3,624), (4,468), (6,312), (8,234), (9,208), (12,156), (13,144), (16,117), (18,104), (24,78), (26,72), (36,52), (39,48)