Factors of 6552 in pair are (1, 6552) , (2, 3276) , (3, 2184) , (4, 1638) , (6, 1092) , (7, 936) , (8, 819) , (9, 728) , (12, 546) , (13, 504) , (14, 468) , (18, 364) , (21, 312) , (24, 273) , (26, 252) , (28, 234) , (36, 182) , (39, 168) , (42, 156) , (52, 126) , (56, 117) , (63, 104) , (72, 91) and (78, 84)

How to find factors of a number in pair

Steps to find factors of 6552 in pair

Example: Find factors of 6552 in pair

Factor Pair Pair Factorization
1 and 6552 1 x 6552 = 6552
2 and 3276 2 x 3276 = 6552
3 and 2184 3 x 2184 = 6552
4 and 1638 4 x 1638 = 6552
6 and 1092 6 x 1092 = 6552
7 and 936 7 x 936 = 6552
8 and 819 8 x 819 = 6552
9 and 728 9 x 728 = 6552
12 and 546 12 x 546 = 6552
13 and 504 13 x 504 = 6552
14 and 468 14 x 468 = 6552
18 and 364 18 x 364 = 6552
21 and 312 21 x 312 = 6552
24 and 273 24 x 273 = 6552
26 and 252 26 x 252 = 6552
28 and 234 28 x 234 = 6552
36 and 182 36 x 182 = 6552
39 and 168 39 x 168 = 6552
42 and 156 42 x 156 = 6552
52 and 126 52 x 126 = 6552
56 and 117 56 x 117 = 6552
63 and 104 63 x 104 = 6552
72 and 91 72 x 91 = 6552
78 and 84 78 x 84 = 6552

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 6552. They are called negative pair factors.

Hence, the negative pairs of 6552 would be ( -1 , -6552 ) .

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 6552 are 1 , 2 , 3 , 4 , 6 , 7 , 8 , 9 , 12 , 13 , 14 , 18 , 21 , 24 , 26 , 28 , 36 , 39 , 42 , 52 , 56 , 63 , 72 , 78 , 84 , 91 , 104 , 117 , 126 , 156 , 168 , 182 , 234 , 252 , 273 , 312 , 364 , 468 , 504 , 546 , 728 , 819 , 936 , 1092 , 1638 , 2184 , 3276 , 6552. So, factors of 6552 in pair are (1,6552), (2,3276), (3,2184), (4,1638), (6,1092), (7,936), (8,819), (9,728), (12,546), (13,504), (14,468), (18,364), (21,312), (24,273), (26,252), (28,234), (36,182), (39,168), (42,156), (52,126), (56,117), (63,104), (72,91), (78,84).

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. 6552 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 6552.
  • Every number is a factor of zero (0), since 6552 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, 13, 14, 18, 21, 24, 26, 28, 36, 39, 42, 52, 56, 63, 72, 78, 84, 91, 104, 117, 126, 156, 168, 182, 234, 252, 273, 312, 364, 468, 504, 546, 728, 819, 936, 1092, 1638, 2184, 3276, 6552 are exact divisors of 6552.
  • Factors of 6552 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 18, 21, 24, 26, 28, 36, 39, 42, 52, 56, 63, 72, 78, 84, 91, 104, 117, 126, 156, 168, 182, 234, 252, 273, 312, 364, 468, 504, 546, 728, 819, 936, 1092, 1638, 2184, 3276, 6552. Each factor divides 6552 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, 13, 14, 18, 21, 24, 26, 28, 36, 39, 42, 52, 56, 63, 72, 78, 84, 91, 104, 117, 126, 156, 168, 182, 234, 252, 273, 312, 364, 468, 504, 546, 728, 819, 936, 1092, 1638, 2184, 3276, 6552 are all less than or equal to 6552.

Steps to find Factors of 6552

  • Step 1. Find all the numbers that would divide 6552 without leaving any remainder. Starting with the number 1 upto 3276 (half of 6552). The number 1 and the number itself are always factors of the given number.
    6552 ÷ 1 : Remainder = 0
    6552 ÷ 2 : Remainder = 0
    6552 ÷ 3 : Remainder = 0
    6552 ÷ 4 : Remainder = 0
    6552 ÷ 6 : Remainder = 0
    6552 ÷ 7 : Remainder = 0
    6552 ÷ 8 : Remainder = 0
    6552 ÷ 9 : Remainder = 0
    6552 ÷ 12 : Remainder = 0
    6552 ÷ 13 : Remainder = 0
    6552 ÷ 14 : Remainder = 0
    6552 ÷ 18 : Remainder = 0
    6552 ÷ 21 : Remainder = 0
    6552 ÷ 24 : Remainder = 0
    6552 ÷ 26 : Remainder = 0
    6552 ÷ 28 : Remainder = 0
    6552 ÷ 36 : Remainder = 0
    6552 ÷ 39 : Remainder = 0
    6552 ÷ 42 : Remainder = 0
    6552 ÷ 52 : Remainder = 0
    6552 ÷ 56 : Remainder = 0
    6552 ÷ 63 : Remainder = 0
    6552 ÷ 72 : Remainder = 0
    6552 ÷ 78 : Remainder = 0
    6552 ÷ 84 : Remainder = 0
    6552 ÷ 91 : Remainder = 0
    6552 ÷ 104 : Remainder = 0
    6552 ÷ 117 : Remainder = 0
    6552 ÷ 126 : Remainder = 0
    6552 ÷ 156 : Remainder = 0
    6552 ÷ 168 : Remainder = 0
    6552 ÷ 182 : Remainder = 0
    6552 ÷ 234 : Remainder = 0
    6552 ÷ 252 : Remainder = 0
    6552 ÷ 273 : Remainder = 0
    6552 ÷ 312 : Remainder = 0
    6552 ÷ 364 : Remainder = 0
    6552 ÷ 468 : Remainder = 0
    6552 ÷ 504 : Remainder = 0
    6552 ÷ 546 : Remainder = 0
    6552 ÷ 728 : Remainder = 0
    6552 ÷ 819 : Remainder = 0
    6552 ÷ 936 : Remainder = 0
    6552 ÷ 1092 : Remainder = 0
    6552 ÷ 1638 : Remainder = 0
    6552 ÷ 2184 : Remainder = 0
    6552 ÷ 3276 : Remainder = 0
    6552 ÷ 6552 : Remainder = 0

Hence, Factors of 6552 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 18, 21, 24, 26, 28, 36, 39, 42, 52, 56, 63, 72, 78, 84, 91, 104, 117, 126, 156, 168, 182, 234, 252, 273, 312, 364, 468, 504, 546, 728, 819, 936, 1092, 1638, 2184, 3276, and 6552

Frequently Asked Questions

  • Is 6552 a composite number?

    Yes 6552 is a composite number.

  • Is 6552 a prime number?

    No 6552 is not a prime number.

  • What is the mean of factors of 6552?

    Factors of 6552 are 1 , 2 , 3 , 4 , 6 , 7 , 8 , 9 , 12 , 13 , 14 , 18 , 21 , 24 , 26 , 28 , 36 , 39 , 42 , 52 , 56 , 63 , 72 , 78 , 84 , 91 , 104 , 117 , 126 , 156 , 168 , 182 , 234 , 252 , 273 , 312 , 364 , 468 , 504 , 546 , 728 , 819 , 936 , 1092 , 1638 , 2184 , 3276 , 6552. therefore mean of factors of 6552 is (1 + 2 + 3 + 4 + 6 + 7 + 8 + 9 + 12 + 13 + 14 + 18 + 21 + 24 + 26 + 28 + 36 + 39 + 42 + 52 + 56 + 63 + 72 + 78 + 84 + 91 + 104 + 117 + 126 + 156 + 168 + 182 + 234 + 252 + 273 + 312 + 364 + 468 + 504 + 546 + 728 + 819 + 936 + 1092 + 1638 + 2184 + 3276 + 6552) / 48 = 455.00.

  • 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 6552 but she is finding it difficult. Can you help her find out?

Factors of 6552 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 18, 21, 24, 26, 28, 36, 39, 42, 52, 56, 63, 72, 78, 84, 91, 104, 117, 126, 156, 168, 182, 234, 252, 273, 312, 364, 468, 504, 546, 728, 819, 936, 1092, 1638, 2184, 3276, 6552. So, factors of 6552 in pair are (1,6552), (2,3276), (3,2184), (4,1638), (6,1092), (7,936), (8,819), (9,728), (12,546), (13,504), (14,468), (18,364), (21,312), (24,273), (26,252), (28,234), (36,182), (39,168), (42,156), (52,126), (56,117), (63,104), (72,91), (78,84).

Sammy wants to write all the negative factors of 6552 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 6552 are -1, -2, -3, -4, -6, -7, -8, -9, -12, -13, -14, -18, -21, -24, -26, -28, -36, -39, -42, -52, -56, -63, -72, -78, -84, -91, -104, -117, -126, -156, -168, -182, -234, -252, -273, -312, -364, -468, -504, -546, -728, -819, -936, -1092, -1638, -2184, -3276, -6552. Hence, factors of 6552 in pair are (-1,-6552), (-2,-3276), (-3,-2184), (-4,-1638), (-6,-1092), (-7,-936), (-8,-819), (-9,-728), (-12,-546), (-13,-504), (-14,-468), (-18,-364), (-21,-312), (-24,-273), (-26,-252), (-28,-234), (-36,-182), (-39,-168), (-42,-156), (-52,-126), (-56,-117), (-63,-104), (-72,-91), (-78,-84).

Help Deep in writing the positive factors of 6552 in pair and negative factor of 6552 in pair.

Factors of 6552 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 18, 21, 24, 26, 28, 36, 39, 42, 52, 56, 63, 72, 78, 84, 91, 104, 117, 126, 156, 168, 182, 234, 252, 273, 312, 364, 468, 504, 546, 728, 819, 936, 1092, 1638, 2184, 3276, 6552. Positive factors of 6552 in pair are (1,6552), (2,3276), (3,2184), (4,1638), (6,1092), (7,936), (8,819), (9,728), (12,546), (13,504), (14,468), (18,364), (21,312), (24,273), (26,252), (28,234), (36,182), (39,168), (42,156), (52,126), (56,117), (63,104), (72,91), (78,84). Negative factors of 6552 in pair are (-1,-6552), (-2,-3276), (-3,-2184), (-4,-1638), (-6,-1092), (-7,-936), (-8,-819), (-9,-728), (-12,-546), (-13,-504), (-14,-468), (-18,-364), (-21,-312), (-24,-273), (-26,-252), (-28,-234), (-36,-182), (-39,-168), (-42,-156), (-52,-126), (-56,-117), (-63,-104), (-72,-91), (-78,-84).

Find the product of all factors of 6552.

Factors of 6552 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 18, 21, 24, 26, 28, 36, 39, 42, 52, 56, 63, 72, 78, 84, 91, 104, 117, 126, 156, 168, 182, 234, 252, 273, 312, 364, 468, 504, 546, 728, 819, 936, 1092, 1638, 2184, 3276, 6552. So the product of all factors of 6552 would be 1 x 2 x 3 x 4 x 6 x 7 x 8 x 9 x 12 x 13 x 14 x 18 x 21 x 24 x 26 x 28 x 36 x 39 x 42 x 52 x 56 x 63 x 72 x 78 x 84 x 91 x 104 x 117 x 126 x 156 x 168 x 182 x 234 x 252 x 273 x 312 x 364 x 468 x 504 x 546 x 728 x 819 x 936 x 1092 x 1638 x 2184 x 3276 x 6552 = 3.917178210506604e+91.

Find the product of all prime factors of 6552.

Factors of 6552 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 18, 21, 24, 26, 28, 36, 39, 42, 52, 56, 63, 72, 78, 84, 91, 104, 117, 126, 156, 168, 182, 234, 252, 273, 312, 364, 468, 504, 546, 728, 819, 936, 1092, 1638, 2184, 3276, 6552. Prime factors are 2, 2, 2, 3, 3, 7, 13. So, the product of all prime factors of 6552 would be 2 x 2 x 2 x 3 x 3 x 7 x 13 = 6552.

Can you help Sammy list the factors of 6552 and also find the factor pairs?

Factors of 6552 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 18, 21, 24, 26, 28, 36, 39, 42, 52, 56, 63, 72, 78, 84, 91, 104, 117, 126, 156, 168, 182, 234, 252, 273, 312, 364, 468, 504, 546, 728, 819, 936, 1092, 1638, 2184, 3276, 6552.
Factors of 6552 in pair are (1,6552), (2,3276), (3,2184), (4,1638), (6,1092), (7,936), (8,819), (9,728), (12,546), (13,504), (14,468), (18,364), (21,312), (24,273), (26,252), (28,234), (36,182), (39,168), (42,156), (52,126), (56,117), (63,104), (72,91), (78,84).

Sammy has 6552 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 6552 blocks in all possible ways to form a rectangle, we need to calculate factors of 6552 in pair. Therefore, factors of 6552 in pair are (1,6552), (2,3276), (3,2184), (4,1638), (6,1092), (7,936), (8,819), (9,728), (12,546), (13,504), (14,468), (18,364), (21,312), (24,273), (26,252), (28,234), (36,182), (39,168), (42,156), (52,126), (56,117), (63,104), (72,91), (78,84)