Factors of 1728 that add upto 48

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Factors of 1728 that add upto 48 are 1, 2, 9, and 36

How to find factors of 1728 that add upto 48

Steps to find factors of 1728 that add upto 48

Find all factors.
Then we find the sum of combinations of factors.
Note down the combination of factors with sum as 48, and read off the answer!

Example: Find factors of 1728 that add upto 48

Sum of 1, 2, 9, and 36 : 1 + 2 + 9 + 36 = 48

Hence, factors of 1728 that add upto 48 are 1, 2, 9, and 36.

Steps to find Factors of 1728

Step 1. Find all the numbers that would divide 1728 without leaving any remainder. Starting with the number 1 upto 864 (half of 1728). The number 1 and the number itself are always factors of the given number.

1728 ÷ 1 : Remainder = 0

1728 ÷ 2 : Remainder = 0

1728 ÷ 3 : Remainder = 0

1728 ÷ 4 : Remainder = 0

1728 ÷ 6 : Remainder = 0

1728 ÷ 8 : Remainder = 0

1728 ÷ 9 : Remainder = 0

1728 ÷ 12 : Remainder = 0

1728 ÷ 16 : Remainder = 0

1728 ÷ 18 : Remainder = 0

1728 ÷ 24 : Remainder = 0

1728 ÷ 27 : Remainder = 0

1728 ÷ 32 : Remainder = 0

1728 ÷ 36 : Remainder = 0

1728 ÷ 48 : Remainder = 0

1728 ÷ 54 : Remainder = 0

1728 ÷ 64 : Remainder = 0

1728 ÷ 72 : Remainder = 0

1728 ÷ 96 : Remainder = 0

1728 ÷ 108 : Remainder = 0

1728 ÷ 144 : Remainder = 0

1728 ÷ 192 : Remainder = 0

1728 ÷ 216 : Remainder = 0

1728 ÷ 288 : Remainder = 0

1728 ÷ 432 : Remainder = 0

1728 ÷ 576 : Remainder = 0

1728 ÷ 864 : Remainder = 0

1728 ÷ 1728 : Remainder = 0

Hence, Factors of 1728 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 144, 192, 216, 288, 432, 576, 864, and 1728

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 1728 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, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 144, 192, 216, 288, 432, 576, 864, 1728 are exact divisors of 1728.

Examples

How many factors are there for 1728?

Factors of 1728 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 144, 192, 216, 288, 432, 576, 864, 1728.
So there are in total 28 factors.

Raju wishes to write all the prime factors of 1728. Can you assist him in doing the same?

Factors of 1728 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 144, 192, 216, 288, 432, 576, 864, 1728.
Prime factors of 1728 are 2, 2, 2, 2, 2, 2, 3, 3, 3.

Can you assist Aubrey in finding factors of 1728 that add upto 48?

Factors of 1728 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 144, 192, 216, 288, 432, 576, 864, 1728.
Factors of 1728 that add upto 48 are 1, 2, 9, 36, as 1 + 2 + 9 + 36 = 48.

Can you help Diji in finding sum of all even factors of 1728?

Factors of 1728 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 144, 192, 216, 288, 432, 576, 864, 1728.
Even factors of 1728 are 2, 4, 6, 8, 12, 16, 18, 24, 32, 36, 48, 54, 64, 72, 96, 108, 144, 192, 216, 288, 432, 576, 864, 1728.
Hence, sum of even factors of 1728 is; 2 + 4 + 6 + 8 + 12 + 16 + 18 + 24 + 32 + 36 + 48 + 54 + 64 + 72 + 96 + 108 + 144 + 192 + 216 + 288 + 432 + 576 + 864 + 1728 = 5040.

Help Ashi in writing the negative pair factors of 1728?

Negative factors of 1728 are -1, -2, -3, -4, -6, -8, -9, -12, -16, -18, -24, -27, -32, -36, -48, -54, -64, -72, -96, -108, -144, -192, -216, -288, -432, -576, -864, -1728. Hence, factors of 1728 in pair are (-1,-1728), (-2,-864), (-3,-576), (-4,-432), (-6,-288), (-8,-216), (-9,-192), (-12,-144), (-16,-108), (-18,-96), (-24,-72), (-27,-64), (-32,-54), (-36,-48).

Rubel's teacher has asked her to find the factors of 1728 and to write the positive factors and negative factors of 1728. But she doesn't know how to get started help Rubel in finding the same.

Positive factors of 1728 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 144, 192, 216, 288, 432, 576, 864, 1728. Negative factors of 1728 are -1, -2, -3, -4, -6, -8, -9, -12, -16, -18, -24, -27, -32, -36, -48, -54, -64, -72, -96, -108, -144, -192, -216, -288, -432, -576, -864, -1728.

Write the correct prime factorization pattern of 1728?

Correct prime factorization pattern of 1728 is 2⁶ x 3³.