Factors of 6480 in pair are (1, 6480) , (2, 3240) , (3, 2160) , (4, 1620) , (5, 1296) , (6, 1080) , (8, 810) , (9, 720) , (10, 648) , (12, 540) , (15, 432) , (16, 405) , (18, 360) , (20, 324) , (24, 270) , (27, 240) , (30, 216) , (36, 180) , (40, 162) , (45, 144) , (48, 135) , (54, 120) , (60, 108) , (72, 90) and (80, 81)

How to find factors of a number in pair

Steps to find factors of 6480 in pair

Example: Find factors of 6480 in pair

Factor Pair Pair Factorization
1 and 6480 1 x 6480 = 6480
2 and 3240 2 x 3240 = 6480
3 and 2160 3 x 2160 = 6480
4 and 1620 4 x 1620 = 6480
5 and 1296 5 x 1296 = 6480
6 and 1080 6 x 1080 = 6480
8 and 810 8 x 810 = 6480
9 and 720 9 x 720 = 6480
10 and 648 10 x 648 = 6480
12 and 540 12 x 540 = 6480
15 and 432 15 x 432 = 6480
16 and 405 16 x 405 = 6480
18 and 360 18 x 360 = 6480
20 and 324 20 x 324 = 6480
24 and 270 24 x 270 = 6480
27 and 240 27 x 240 = 6480
30 and 216 30 x 216 = 6480
36 and 180 36 x 180 = 6480
40 and 162 40 x 162 = 6480
45 and 144 45 x 144 = 6480
48 and 135 48 x 135 = 6480
54 and 120 54 x 120 = 6480
60 and 108 60 x 108 = 6480
72 and 90 72 x 90 = 6480
80 and 81 80 x 81 = 6480

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 6480. They are called negative pair factors.

Hence, the negative pairs of 6480 would be ( -1 , -6480 ) .

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 6480 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 27 , 30 , 36 , 40 , 45 , 48 , 54 , 60 , 72 , 80 , 81 , 90 , 108 , 120 , 135 , 144 , 162 , 180 , 216 , 240 , 270 , 324 , 360 , 405 , 432 , 540 , 648 , 720 , 810 , 1080 , 1296 , 1620 , 2160 , 3240 , 6480. So, factors of 6480 in pair are (1,6480), (2,3240), (3,2160), (4,1620), (5,1296), (6,1080), (8,810), (9,720), (10,648), (12,540), (15,432), (16,405), (18,360), (20,324), (24,270), (27,240), (30,216), (36,180), (40,162), (45,144), (48,135), (54,120), (60,108), (72,90), (80,81).

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. 6480 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 6480.
  • Every number is a factor of zero (0), since 6480 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, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 81, 90, 108, 120, 135, 144, 162, 180, 216, 240, 270, 324, 360, 405, 432, 540, 648, 720, 810, 1080, 1296, 1620, 2160, 3240, 6480 are exact divisors of 6480.
  • Factors of 6480 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 81, 90, 108, 120, 135, 144, 162, 180, 216, 240, 270, 324, 360, 405, 432, 540, 648, 720, 810, 1080, 1296, 1620, 2160, 3240, 6480. Each factor divides 6480 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, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 81, 90, 108, 120, 135, 144, 162, 180, 216, 240, 270, 324, 360, 405, 432, 540, 648, 720, 810, 1080, 1296, 1620, 2160, 3240, 6480 are all less than or equal to 6480.

Steps to find Factors of 6480

  • Step 1. Find all the numbers that would divide 6480 without leaving any remainder. Starting with the number 1 upto 3240 (half of 6480). The number 1 and the number itself are always factors of the given number.
    6480 ÷ 1 : Remainder = 0
    6480 ÷ 2 : Remainder = 0
    6480 ÷ 3 : Remainder = 0
    6480 ÷ 4 : Remainder = 0
    6480 ÷ 5 : Remainder = 0
    6480 ÷ 6 : Remainder = 0
    6480 ÷ 8 : Remainder = 0
    6480 ÷ 9 : Remainder = 0
    6480 ÷ 10 : Remainder = 0
    6480 ÷ 12 : Remainder = 0
    6480 ÷ 15 : Remainder = 0
    6480 ÷ 16 : Remainder = 0
    6480 ÷ 18 : Remainder = 0
    6480 ÷ 20 : Remainder = 0
    6480 ÷ 24 : Remainder = 0
    6480 ÷ 27 : Remainder = 0
    6480 ÷ 30 : Remainder = 0
    6480 ÷ 36 : Remainder = 0
    6480 ÷ 40 : Remainder = 0
    6480 ÷ 45 : Remainder = 0
    6480 ÷ 48 : Remainder = 0
    6480 ÷ 54 : Remainder = 0
    6480 ÷ 60 : Remainder = 0
    6480 ÷ 72 : Remainder = 0
    6480 ÷ 80 : Remainder = 0
    6480 ÷ 81 : Remainder = 0
    6480 ÷ 90 : Remainder = 0
    6480 ÷ 108 : Remainder = 0
    6480 ÷ 120 : Remainder = 0
    6480 ÷ 135 : Remainder = 0
    6480 ÷ 144 : Remainder = 0
    6480 ÷ 162 : Remainder = 0
    6480 ÷ 180 : Remainder = 0
    6480 ÷ 216 : Remainder = 0
    6480 ÷ 240 : Remainder = 0
    6480 ÷ 270 : Remainder = 0
    6480 ÷ 324 : Remainder = 0
    6480 ÷ 360 : Remainder = 0
    6480 ÷ 405 : Remainder = 0
    6480 ÷ 432 : Remainder = 0
    6480 ÷ 540 : Remainder = 0
    6480 ÷ 648 : Remainder = 0
    6480 ÷ 720 : Remainder = 0
    6480 ÷ 810 : Remainder = 0
    6480 ÷ 1080 : Remainder = 0
    6480 ÷ 1296 : Remainder = 0
    6480 ÷ 1620 : Remainder = 0
    6480 ÷ 2160 : Remainder = 0
    6480 ÷ 3240 : Remainder = 0
    6480 ÷ 6480 : Remainder = 0

Hence, Factors of 6480 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 81, 90, 108, 120, 135, 144, 162, 180, 216, 240, 270, 324, 360, 405, 432, 540, 648, 720, 810, 1080, 1296, 1620, 2160, 3240, and 6480

Frequently Asked Questions

  • Is 6480 a composite number?

    Yes 6480 is a composite number.

  • Is 6480 a prime number?

    No 6480 is not a prime number.

  • What is the mean of factors of 6480?

    Factors of 6480 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 27 , 30 , 36 , 40 , 45 , 48 , 54 , 60 , 72 , 80 , 81 , 90 , 108 , 120 , 135 , 144 , 162 , 180 , 216 , 240 , 270 , 324 , 360 , 405 , 432 , 540 , 648 , 720 , 810 , 1080 , 1296 , 1620 , 2160 , 3240 , 6480. therefore mean of factors of 6480 is (1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 24 + 27 + 30 + 36 + 40 + 45 + 48 + 54 + 60 + 72 + 80 + 81 + 90 + 108 + 120 + 135 + 144 + 162 + 180 + 216 + 240 + 270 + 324 + 360 + 405 + 432 + 540 + 648 + 720 + 810 + 1080 + 1296 + 1620 + 2160 + 3240 + 6480) / 50 = 450.12.

  • 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 6480 but she is finding it difficult. Can you help her find out?

Factors of 6480 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 81, 90, 108, 120, 135, 144, 162, 180, 216, 240, 270, 324, 360, 405, 432, 540, 648, 720, 810, 1080, 1296, 1620, 2160, 3240, 6480. So, factors of 6480 in pair are (1,6480), (2,3240), (3,2160), (4,1620), (5,1296), (6,1080), (8,810), (9,720), (10,648), (12,540), (15,432), (16,405), (18,360), (20,324), (24,270), (27,240), (30,216), (36,180), (40,162), (45,144), (48,135), (54,120), (60,108), (72,90), (80,81).

Sammy wants to write all the negative factors of 6480 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 6480 are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -16, -18, -20, -24, -27, -30, -36, -40, -45, -48, -54, -60, -72, -80, -81, -90, -108, -120, -135, -144, -162, -180, -216, -240, -270, -324, -360, -405, -432, -540, -648, -720, -810, -1080, -1296, -1620, -2160, -3240, -6480. Hence, factors of 6480 in pair are (-1,-6480), (-2,-3240), (-3,-2160), (-4,-1620), (-5,-1296), (-6,-1080), (-8,-810), (-9,-720), (-10,-648), (-12,-540), (-15,-432), (-16,-405), (-18,-360), (-20,-324), (-24,-270), (-27,-240), (-30,-216), (-36,-180), (-40,-162), (-45,-144), (-48,-135), (-54,-120), (-60,-108), (-72,-90), (-80,-81).

Help Deep in writing the positive factors of 6480 in pair and negative factor of 6480 in pair.

Factors of 6480 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 81, 90, 108, 120, 135, 144, 162, 180, 216, 240, 270, 324, 360, 405, 432, 540, 648, 720, 810, 1080, 1296, 1620, 2160, 3240, 6480. Positive factors of 6480 in pair are (1,6480), (2,3240), (3,2160), (4,1620), (5,1296), (6,1080), (8,810), (9,720), (10,648), (12,540), (15,432), (16,405), (18,360), (20,324), (24,270), (27,240), (30,216), (36,180), (40,162), (45,144), (48,135), (54,120), (60,108), (72,90), (80,81). Negative factors of 6480 in pair are (-1,-6480), (-2,-3240), (-3,-2160), (-4,-1620), (-5,-1296), (-6,-1080), (-8,-810), (-9,-720), (-10,-648), (-12,-540), (-15,-432), (-16,-405), (-18,-360), (-20,-324), (-24,-270), (-27,-240), (-30,-216), (-36,-180), (-40,-162), (-45,-144), (-48,-135), (-54,-120), (-60,-108), (-72,-90), (-80,-81).

Find the product of all factors of 6480.

Factors of 6480 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 81, 90, 108, 120, 135, 144, 162, 180, 216, 240, 270, 324, 360, 405, 432, 540, 648, 720, 810, 1080, 1296, 1620, 2160, 3240, 6480. So the product of all factors of 6480 would be 1 x 2 x 3 x 4 x 5 x 6 x 8 x 9 x 10 x 12 x 15 x 16 x 18 x 20 x 24 x 27 x 30 x 36 x 40 x 45 x 48 x 54 x 60 x 72 x 80 x 81 x 90 x 108 x 120 x 135 x 144 x 162 x 180 x 216 x 240 x 270 x 324 x 360 x 405 x 432 x 540 x 648 x 720 x 810 x 1080 x 1296 x 1620 x 2160 x 3240 x 6480 = 1.9470412239434446e+95.

Find the product of all prime factors of 6480.

Factors of 6480 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 81, 90, 108, 120, 135, 144, 162, 180, 216, 240, 270, 324, 360, 405, 432, 540, 648, 720, 810, 1080, 1296, 1620, 2160, 3240, 6480. Prime factors are 2, 2, 2, 2, 3, 3, 3, 3, 5. So, the product of all prime factors of 6480 would be 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 = 6480.

Can you help Sammy list the factors of 6480 and also find the factor pairs?

Factors of 6480 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 81, 90, 108, 120, 135, 144, 162, 180, 216, 240, 270, 324, 360, 405, 432, 540, 648, 720, 810, 1080, 1296, 1620, 2160, 3240, 6480.
Factors of 6480 in pair are (1,6480), (2,3240), (3,2160), (4,1620), (5,1296), (6,1080), (8,810), (9,720), (10,648), (12,540), (15,432), (16,405), (18,360), (20,324), (24,270), (27,240), (30,216), (36,180), (40,162), (45,144), (48,135), (54,120), (60,108), (72,90), (80,81).

Sammy has 6480 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 6480 blocks in all possible ways to form a rectangle, we need to calculate factors of 6480 in pair. Therefore, factors of 6480 in pair are (1,6480), (2,3240), (3,2160), (4,1620), (5,1296), (6,1080), (8,810), (9,720), (10,648), (12,540), (15,432), (16,405), (18,360), (20,324), (24,270), (27,240), (30,216), (36,180), (40,162), (45,144), (48,135), (54,120), (60,108), (72,90), (80,81)