Factors of 5400 in pair are (1, 5400) , (2, 2700) , (3, 1800) , (4, 1350) , (5, 1080) , (6, 900) , (8, 675) , (9, 600) , (10, 540) , (12, 450) , (15, 360) , (18, 300) , (20, 270) , (24, 225) , (25, 216) , (27, 200) , (30, 180) , (36, 150) , (40, 135) , (45, 120) , (50, 108) , (54, 100) , (60, 90) and (72, 75)

How to find factors of a number in pair

Steps to find factors of 5400 in pair

Example: Find factors of 5400 in pair

Factor Pair Pair Factorization
1 and 5400 1 x 5400 = 5400
2 and 2700 2 x 2700 = 5400
3 and 1800 3 x 1800 = 5400
4 and 1350 4 x 1350 = 5400
5 and 1080 5 x 1080 = 5400
6 and 900 6 x 900 = 5400
8 and 675 8 x 675 = 5400
9 and 600 9 x 600 = 5400
10 and 540 10 x 540 = 5400
12 and 450 12 x 450 = 5400
15 and 360 15 x 360 = 5400
18 and 300 18 x 300 = 5400
20 and 270 20 x 270 = 5400
24 and 225 24 x 225 = 5400
25 and 216 25 x 216 = 5400
27 and 200 27 x 200 = 5400
30 and 180 30 x 180 = 5400
36 and 150 36 x 150 = 5400
40 and 135 40 x 135 = 5400
45 and 120 45 x 120 = 5400
50 and 108 50 x 108 = 5400
54 and 100 54 x 100 = 5400
60 and 90 60 x 90 = 5400
72 and 75 72 x 75 = 5400

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 5400. They are called negative pair factors.

Hence, the negative pairs of 5400 would be ( -1 , -5400 ) .

Definition of factor pairs?

In mathematics, factor pair are often given as pair of numbers which when multiplied together give the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 5400 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 18 , 20 , 24 , 25 , 27 , 30 , 36 , 40 , 45 , 50 , 54 , 60 , 72 , 75 , 90 , 100 , 108 , 120 , 135 , 150 , 180 , 200 , 216 , 225 , 270 , 300 , 360 , 450 , 540 , 600 , 675 , 900 , 1080 , 1350 , 1800 , 2700 , 5400. So, factors of 5400 in pair are (1,5400), (2,2700), (3,1800), (4,1350), (5,1080), (6,900), (8,675), (9,600), (10,540), (12,450), (15,360), (18,300), (20,270), (24,225), (25,216), (27,200), (30,180), (36,150), (40,135), (45,120), (50,108), (54,100), (60,90), (72,75).

What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

Properties of Factors

  • Each number is a factor of itself. Eg. 5400 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 5400.
  • Every number is a factor of zero (0), since 5400 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, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 90, 100, 108, 120, 135, 150, 180, 200, 216, 225, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 2700, 5400 are exact divisors of 5400.
  • Factors of 5400 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 90, 100, 108, 120, 135, 150, 180, 200, 216, 225, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 2700, 5400. Each factor divides 5400 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 90, 100, 108, 120, 135, 150, 180, 200, 216, 225, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 2700, 5400 are all less than or equal to 5400.

Steps to find Factors of 5400

  • Step 1. Find all the numbers that would divide 5400 without leaving any remainder. Starting with the number 1 upto 2700 (half of 5400). The number 1 and the number itself are always factors of the given number.
    5400 ÷ 1 : Remainder = 0
    5400 ÷ 2 : Remainder = 0
    5400 ÷ 3 : Remainder = 0
    5400 ÷ 4 : Remainder = 0
    5400 ÷ 5 : Remainder = 0
    5400 ÷ 6 : Remainder = 0
    5400 ÷ 8 : Remainder = 0
    5400 ÷ 9 : Remainder = 0
    5400 ÷ 10 : Remainder = 0
    5400 ÷ 12 : Remainder = 0
    5400 ÷ 15 : Remainder = 0
    5400 ÷ 18 : Remainder = 0
    5400 ÷ 20 : Remainder = 0
    5400 ÷ 24 : Remainder = 0
    5400 ÷ 25 : Remainder = 0
    5400 ÷ 27 : Remainder = 0
    5400 ÷ 30 : Remainder = 0
    5400 ÷ 36 : Remainder = 0
    5400 ÷ 40 : Remainder = 0
    5400 ÷ 45 : Remainder = 0
    5400 ÷ 50 : Remainder = 0
    5400 ÷ 54 : Remainder = 0
    5400 ÷ 60 : Remainder = 0
    5400 ÷ 72 : Remainder = 0
    5400 ÷ 75 : Remainder = 0
    5400 ÷ 90 : Remainder = 0
    5400 ÷ 100 : Remainder = 0
    5400 ÷ 108 : Remainder = 0
    5400 ÷ 120 : Remainder = 0
    5400 ÷ 135 : Remainder = 0
    5400 ÷ 150 : Remainder = 0
    5400 ÷ 180 : Remainder = 0
    5400 ÷ 200 : Remainder = 0
    5400 ÷ 216 : Remainder = 0
    5400 ÷ 225 : Remainder = 0
    5400 ÷ 270 : Remainder = 0
    5400 ÷ 300 : Remainder = 0
    5400 ÷ 360 : Remainder = 0
    5400 ÷ 450 : Remainder = 0
    5400 ÷ 540 : Remainder = 0
    5400 ÷ 600 : Remainder = 0
    5400 ÷ 675 : Remainder = 0
    5400 ÷ 900 : Remainder = 0
    5400 ÷ 1080 : Remainder = 0
    5400 ÷ 1350 : Remainder = 0
    5400 ÷ 1800 : Remainder = 0
    5400 ÷ 2700 : Remainder = 0
    5400 ÷ 5400 : Remainder = 0

Hence, Factors of 5400 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 90, 100, 108, 120, 135, 150, 180, 200, 216, 225, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 2700, and 5400

Frequently Asked Questions

  • Is 5400 a composite number?

    Yes 5400 is a composite number.

  • Is 5400 a prime number?

    No 5400 is not a prime number.

  • What is the mean of factors of 5400?

    Factors of 5400 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 18 , 20 , 24 , 25 , 27 , 30 , 36 , 40 , 45 , 50 , 54 , 60 , 72 , 75 , 90 , 100 , 108 , 120 , 135 , 150 , 180 , 200 , 216 , 225 , 270 , 300 , 360 , 450 , 540 , 600 , 675 , 900 , 1080 , 1350 , 1800 , 2700 , 5400. therefore mean of factors of 5400 is (1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 18 + 20 + 24 + 25 + 27 + 30 + 36 + 40 + 45 + 50 + 54 + 60 + 72 + 75 + 90 + 100 + 108 + 120 + 135 + 150 + 180 + 200 + 216 + 225 + 270 + 300 + 360 + 450 + 540 + 600 + 675 + 900 + 1080 + 1350 + 1800 + 2700 + 5400) / 48 = 387.50.

  • 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 5400 but she is finding it difficult. Can you help her find out?

Factors of 5400 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 90, 100, 108, 120, 135, 150, 180, 200, 216, 225, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 2700, 5400. So, factors of 5400 in pair are (1,5400), (2,2700), (3,1800), (4,1350), (5,1080), (6,900), (8,675), (9,600), (10,540), (12,450), (15,360), (18,300), (20,270), (24,225), (25,216), (27,200), (30,180), (36,150), (40,135), (45,120), (50,108), (54,100), (60,90), (72,75).

Sammy wants to write all the negative factors of 5400 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 5400 are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -18, -20, -24, -25, -27, -30, -36, -40, -45, -50, -54, -60, -72, -75, -90, -100, -108, -120, -135, -150, -180, -200, -216, -225, -270, -300, -360, -450, -540, -600, -675, -900, -1080, -1350, -1800, -2700, -5400. Hence, factors of 5400 in pair are (-1,-5400), (-2,-2700), (-3,-1800), (-4,-1350), (-5,-1080), (-6,-900), (-8,-675), (-9,-600), (-10,-540), (-12,-450), (-15,-360), (-18,-300), (-20,-270), (-24,-225), (-25,-216), (-27,-200), (-30,-180), (-36,-150), (-40,-135), (-45,-120), (-50,-108), (-54,-100), (-60,-90), (-72,-75).

Help Deep in writing the positive factors of 5400 in pair and negative factor of 5400 in pair.

Factors of 5400 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 90, 100, 108, 120, 135, 150, 180, 200, 216, 225, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 2700, 5400. Positive factors of 5400 in pair are (1,5400), (2,2700), (3,1800), (4,1350), (5,1080), (6,900), (8,675), (9,600), (10,540), (12,450), (15,360), (18,300), (20,270), (24,225), (25,216), (27,200), (30,180), (36,150), (40,135), (45,120), (50,108), (54,100), (60,90), (72,75). Negative factors of 5400 in pair are (-1,-5400), (-2,-2700), (-3,-1800), (-4,-1350), (-5,-1080), (-6,-900), (-8,-675), (-9,-600), (-10,-540), (-12,-450), (-15,-360), (-18,-300), (-20,-270), (-24,-225), (-25,-216), (-27,-200), (-30,-180), (-36,-150), (-40,-135), (-45,-120), (-50,-108), (-54,-100), (-60,-90), (-72,-75).

Find the product of all factors of 5400.

Factors of 5400 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 90, 100, 108, 120, 135, 150, 180, 200, 216, 225, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 2700, 5400. So the product of all factors of 5400 would be 1 x 2 x 3 x 4 x 5 x 6 x 8 x 9 x 10 x 12 x 15 x 18 x 20 x 24 x 25 x 27 x 30 x 36 x 40 x 45 x 50 x 54 x 60 x 72 x 75 x 90 x 100 x 108 x 120 x 135 x 150 x 180 x 200 x 216 x 225 x 270 x 300 x 360 x 450 x 540 x 600 x 675 x 900 x 1080 x 1350 x 1800 x 2700 x 5400 = 3.7796382529974633e+89.

Find the product of all prime factors of 5400.

Factors of 5400 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 90, 100, 108, 120, 135, 150, 180, 200, 216, 225, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 2700, 5400. Prime factors are 2, 2, 2, 3, 3, 3, 5, 5. So, the product of all prime factors of 5400 would be 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 = 5400.

Can you help Sammy list the factors of 5400 and also find the factor pairs?

Factors of 5400 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 90, 100, 108, 120, 135, 150, 180, 200, 216, 225, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 2700, 5400.
Factors of 5400 in pair are (1,5400), (2,2700), (3,1800), (4,1350), (5,1080), (6,900), (8,675), (9,600), (10,540), (12,450), (15,360), (18,300), (20,270), (24,225), (25,216), (27,200), (30,180), (36,150), (40,135), (45,120), (50,108), (54,100), (60,90), (72,75).

Sammy has 5400 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 5400 blocks in all possible ways to form a rectangle, we need to calculate factors of 5400 in pair. Therefore, factors of 5400 in pair are (1,5400), (2,2700), (3,1800), (4,1350), (5,1080), (6,900), (8,675), (9,600), (10,540), (12,450), (15,360), (18,300), (20,270), (24,225), (25,216), (27,200), (30,180), (36,150), (40,135), (45,120), (50,108), (54,100), (60,90), (72,75)