Find factors of 216 that add upto 69

Steps to find factors of 216 that add upto 69

Find all factors.
Then we find the sum of combinations of factors.
Note down the combination of factors with sum as 69, and read off the answer!

Example: Find factors of 216 that add upto 69

Sum of 1, 2, 12, and 54 : 1 + 2 + 12 + 54 = 69

Hence, factors of 216 that add upto 69 are 1, 2, 12, and 54.

Steps to find Factors of 216

Step 1. Find all the numbers that would divide 216 without leaving any remainder. Starting with the number 1 upto 108 (half of 216). The number 1 and the number itself are always factors of the given number.

216 ÷ 1 : Remainder = 0

216 ÷ 2 : Remainder = 0

216 ÷ 3 : Remainder = 0

216 ÷ 4 : Remainder = 0

216 ÷ 6 : Remainder = 0

216 ÷ 8 : Remainder = 0

216 ÷ 9 : Remainder = 0

216 ÷ 12 : Remainder = 0

216 ÷ 18 : Remainder = 0

216 ÷ 24 : Remainder = 0

216 ÷ 27 : Remainder = 0

216 ÷ 36 : Remainder = 0

216 ÷ 54 : Remainder = 0

216 ÷ 72 : Remainder = 0

216 ÷ 108 : Remainder = 0

216 ÷ 216 : Remainder = 0

Hence, Factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, and 216

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 216 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, 18, 24, 27, 36, 54, 72, 108, 216 are exact divisors of 216.

Examples

How many factors are there for 216?

Factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216.
So there are in total 16 factors.

Raju wishes to write all the prime factors of 216. Can you assist him in doing the same?

Factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216.
Prime factors of 216 are 2, 2, 2, 3, 3, 3.

Can you assist Aubrey in finding factors of 216 that add upto 69?

Factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216.
Factors of 216 that add upto 69 are 1, 2, 12, 54, as 1 + 2 + 12 + 54 = 69.

Can you help Diji in finding sum of all even factors of 216?

Factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216.
Even factors of 216 are 2, 4, 6, 8, 12, 18, 24, 36, 54, 72, 108, 216.
Hence, sum of even factors of 216 is; 2 + 4 + 6 + 8 + 12 + 18 + 24 + 36 + 54 + 72 + 108 + 216 = 560.

Help Ashi in writing the negative pair factors of 216?

Negative factors of 216 are -1, -2, -3, -4, -6, -8, -9, -12, -18, -24, -27, -36, -54, -72, -108, -216. Hence, factors of 216 in pair are (-1,-216), (-2,-108), (-3,-72), (-4,-54), (-6,-36), (-8,-27), (-9,-24), (-12,-18).

Rubel's teacher has asked her to find the factors of 216 and to write the positive factors and negative factors of 216. But she doesn't know how to get started help Rubel in finding the same.

Positive factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216. Negative factors of 216 are -1, -2, -3, -4, -6, -8, -9, -12, -18, -24, -27, -36, -54, -72, -108, -216.

Write the correct prime factorization pattern of 216?

Correct prime factorization pattern of 216 is 2³ x 3³.

Factors of 216 that add upto 69

How to find factors of 216 that add upto 69