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

How to find factors of a number in pair

Steps to find factors of 3240 in pair

Example: Find factors of 3240 in pair

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

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 3240. They are called negative pair factors.

Hence, the negative pairs of 3240 would be ( -1 , -3240 ) .

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

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

Steps to find Factors of 3240

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

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

Frequently Asked Questions

  • Is 3240 a composite number?

    Yes 3240 is a composite number.

  • Is 3240 a prime number?

    No 3240 is not a prime number.

  • What is the mean of factors of 3240?

    Factors of 3240 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 18 , 20 , 24 , 27 , 30 , 36 , 40 , 45 , 54 , 60 , 72 , 81 , 90 , 108 , 120 , 135 , 162 , 180 , 216 , 270 , 324 , 360 , 405 , 540 , 648 , 810 , 1080 , 1620 , 3240. therefore mean of factors of 3240 is (1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 18 + 20 + 24 + 27 + 30 + 36 + 40 + 45 + 54 + 60 + 72 + 81 + 90 + 108 + 120 + 135 + 162 + 180 + 216 + 270 + 324 + 360 + 405 + 540 + 648 + 810 + 1080 + 1620 + 3240) / 40 = 272.25.

  • 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 3240 but she is finding it difficult. Can you help her find out?

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

Sammy wants to write all the negative factors of 3240 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

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

Help Deep in writing the positive factors of 3240 in pair and negative factor of 3240 in pair.

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

Find the product of all factors of 3240.

Factors of 3240 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 270, 324, 360, 405, 540, 648, 810, 1080, 1620, 3240. So the product of all factors of 3240 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 27 x 30 x 36 x 40 x 45 x 54 x 60 x 72 x 81 x 90 x 108 x 120 x 135 x 162 x 180 x 216 x 270 x 324 x 360 x 405 x 540 x 648 x 810 x 1080 x 1620 x 3240 = 1.6251752662903263e+70.

Find the product of all prime factors of 3240.

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

Can you help Sammy list the factors of 3240 and also find the factor pairs?

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

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