Factors of 3240 are the list of integers that we can split evenly into 3240. There are total 40 factors of 3240, of which 2, 3, 5 are its prime factors. The sum of all factors of 3240 is 10890.

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All Factors of 3240: 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 Prime Factors of 3240: 2, 3, 5 Prime Factorization of 3240: 23 × 34 × 51 Sum of Factors of 3240: 10890
1.What Are the Factors of 3240?
2.Factors of 3240 by Prime Factorization
3.Factors of 3240 in Pairs
4.FAQs on Factors of 3240
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Factors of 3240 are pairs of those numbers whose products result in 3240. These factors are either prime numbers or composite numbers.

How to Find the Factors of 3240?

To find the factors of 3240, we will have to find the list of numbers that would divide 3240 without leaving any remainder.

3240/5 = 648; therefore, 5 is a factor of 3240 and 648 is also a factor of 3240.3240/810 = 4; therefore, 810 is a factor of 3240 and 4 is also a factor of 3240. Similarly we can find other factors. Hence, the 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.

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The number 3240 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 3240. The first step is to divide the number 3240 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder. 3240 ÷ 2 = 1620 1620 ÷ 2 = 810 810 ÷ 2 = 405

Further dividing 405 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 405 by the next smallest prime factor. We stop ultimately if the next prime factor doesn"t exist or when we can"t divide any further.

So, the prime factorization of 3240 can be written as 23 × 34 × 51 where 2, 3, 5 are prime.


Pair factors of 3240 are the pairs of numbers that when multiplied give the product 3240. The factors of 3240 in pairs are:

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

Negative pair factors of 3240 are:

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

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.


Example 1: How many factors are there for 3240?

Solution:

The factors of 3240 are too many, therefore if we can find the prime factorization of 3240, then the total number of factors can be calculated using the formula shown below. If the prime factorization of the number is ax × by × cz where a, b, c are prime, then the total number of factors can be given by (x + 1)(y + 1)(z + 1). Prime Factorization of 3240 = 23 × 34 × 51 Therefore, the total number of factors are (3 + 1) × (4 + 1) × (1 + 1) = 4 × 5 × 2 = 40


Example 3: Find if 2, 4, 6, 10, 108, 162, 1620 and 2173 are factors of 3240.

Solution:

When we divide 3240 by 2173 it leaves a remainder. Therefore, the number 2173 is not a factor of 3240. All numbers except 2173 are factors of 3240.


Example 4: Find the product of all the prime factors of 3240.

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Solution:

Since, the prime factors of 3240 are 2, 3, 5. Therefore, the product of prime factors = 2 × 3 × 5 = 30.


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