Factors of 2160 that add upto 24

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Factors of 2160 that add upto 24 are 1, 3, and 20

How to find factors of 2160 that add upto 24

Steps to find factors of 2160 that add upto 24

Find all factors.
Then we find the sum of combinations of factors.
Note down the combination of factors with sum as 24, and read off the answer!

Example: Find factors of 2160 that add upto 24

Sum of 1, 3, and 20 : 1 + 3 + 20 = 24

Hence, factors of 2160 that add upto 24 are 1, 3, and 20.

Steps to find Factors of 2160

Step 1. Find all the numbers that would divide 2160 without leaving any remainder. Starting with the number 1 upto 1080 (half of 2160). The number 1 and the number itself are always factors of the given number.

2160 ÷ 1 : Remainder = 0

2160 ÷ 2 : Remainder = 0

2160 ÷ 3 : Remainder = 0

2160 ÷ 4 : Remainder = 0

2160 ÷ 5 : Remainder = 0

2160 ÷ 6 : Remainder = 0

2160 ÷ 8 : Remainder = 0

2160 ÷ 9 : Remainder = 0

2160 ÷ 10 : Remainder = 0

2160 ÷ 12 : Remainder = 0

2160 ÷ 15 : Remainder = 0

2160 ÷ 16 : Remainder = 0

2160 ÷ 18 : Remainder = 0

2160 ÷ 20 : Remainder = 0

2160 ÷ 24 : Remainder = 0

2160 ÷ 27 : Remainder = 0

2160 ÷ 30 : Remainder = 0

2160 ÷ 36 : Remainder = 0

2160 ÷ 40 : Remainder = 0

2160 ÷ 45 : Remainder = 0

2160 ÷ 48 : Remainder = 0

2160 ÷ 54 : Remainder = 0

2160 ÷ 60 : Remainder = 0

2160 ÷ 72 : Remainder = 0

2160 ÷ 80 : Remainder = 0

2160 ÷ 90 : Remainder = 0

2160 ÷ 108 : Remainder = 0

2160 ÷ 120 : Remainder = 0

2160 ÷ 135 : Remainder = 0

2160 ÷ 144 : Remainder = 0

2160 ÷ 180 : Remainder = 0

2160 ÷ 216 : Remainder = 0

2160 ÷ 240 : Remainder = 0

2160 ÷ 270 : Remainder = 0

2160 ÷ 360 : Remainder = 0

2160 ÷ 432 : Remainder = 0

2160 ÷ 540 : Remainder = 0

2160 ÷ 720 : Remainder = 0

2160 ÷ 1080 : Remainder = 0

2160 ÷ 2160 : Remainder = 0

Hence, Factors of 2160 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, 90, 108, 120, 135, 144, 180, 216, 240, 270, 360, 432, 540, 720, 1080, and 2160

What are factors?

In mathematics, the term factor is used for that number which divides the other number to leave 0 as a remainder. A factor of a number can be positive or negative.

Properties of Factors

Factors and multiples are two different terms. Factors are those number which when multiplied together give the number itself, on the other hand multiples are what we get after multiplying the same number with and other number.
Prime factors are those factors which are further divisible by only two numbers i.e. 1 ans the factor itself.
Every number is a factor of zero (0), since 2160 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, 90, 108, 120, 135, 144, 180, 216, 240, 270, 360, 432, 540, 720, 1080, 2160 are exact divisors of 2160.

Examples

Can you assist Aubrey in finding factors of 2160 that add upto 24?

Factors of 2160 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, 90, 108, 120, 135, 144, 180, 216, 240, 270, 360, 432, 540, 720, 1080, 2160.
Factors of 2160 that add upto 24 are 1, 3, 20, as 1 + 3 + 20 = 24.

Can you help Diji in finding sum of all even factors of 2160?

Factors of 2160 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, 90, 108, 120, 135, 144, 180, 216, 240, 270, 360, 432, 540, 720, 1080, 2160.
Even factors of 2160 are 2, 4, 6, 8, 10, 12, 16, 18, 20, 24, 30, 36, 40, 48, 54, 60, 72, 80, 90, 108, 120, 144, 180, 216, 240, 270, 360, 432, 540, 720, 1080, 2160.
Hence, sum of even factors of 2160 is; 2 + 4 + 6 + 8 + 10 + 12 + 16 + 18 + 20 + 24 + 30 + 36 + 40 + 48 + 54 + 60 + 72 + 80 + 90 + 108 + 120 + 144 + 180 + 216 + 240 + 270 + 360 + 432 + 540 + 720 + 1080 + 2160 = 7200.

Rustom is wondering to find the factors of 2160 that add upto 24, but is stuck. Assist Rustom in writing the same.

Help Andy in writing even prime factors of 2160.

What is the largest factors of 2160?

Factors of 2160 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, 90, 108, 120, 135, 144, 180, 216, 240, 270, 360, 432, 540, 720, 1080, 2160. Largest factor f 2160 is 2160.

Sammy is puzzled while calculating the prime factors of 2160. Can you help him find them?

Factors of 2160 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, 90, 108, 120, 135, 144, 180, 216, 240, 270, 360, 432, 540, 720, 1080, 2160.
Prime factors of 2160 are 2, 2, 2, 2, 3, 3, 3, 5

Help Ashi in writing the negative pair factors of 2160?

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