Factors of 112 that add upto 24 are 1, 7, and 16

How to find factors of 112 that add upto 24

Steps to find factors of 112 that add upto 24

Example: Find factors of 112 that add upto 24

  • Sum of 1, 7, and 16 : 1 + 7 + 16 = 24

Hence, factors of 112 that add upto 24 are 1, 7, and 16.

Steps to find Factors of 112

  • Step 1. Find all the numbers that would divide 112 without leaving any remainder. Starting with the number 1 upto 56 (half of 112). The number 1 and the number itself are always factors of the given number.
    112 ÷ 1 : Remainder = 0
    112 ÷ 2 : Remainder = 0
    112 ÷ 4 : Remainder = 0
    112 ÷ 7 : Remainder = 0
    112 ÷ 8 : Remainder = 0
    112 ÷ 14 : Remainder = 0
    112 ÷ 16 : Remainder = 0
    112 ÷ 28 : Remainder = 0
    112 ÷ 56 : Remainder = 0
    112 ÷ 112 : Remainder = 0

Hence, Factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, and 112

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 112 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, 4, 7, 8, 14, 16, 28, 56, 112 are exact divisors of 112.

Examples

How many factors are there for 112?

Factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112.
So there are in total 10 factors.

Raju wishes to write all the prime factors of 112. Can you assist him in doing the same?

Factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112.
Prime factors of 112 are 2, 2, 2, 2, 7.

Can you assist Aubrey in finding factors of 112 that add upto 24?

Factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112.
Factors of 112 that add upto 24 are 1, 7, 16, as 1 + 7 + 16 = 24.

Can you help Diji in finding sum of all even factors of 112?

Factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112.
Even factors of 112 are 2, 4, 8, 14, 16, 28, 56, 112.
Hence, sum of even factors of 112 is; 2 + 4 + 8 + 14 + 16 + 28 + 56 + 112 = 240.

Rustom is wondering to find the factors of 112 that add upto 24, but is stuck. Assist Rustom in writing the same.

Factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112.
Factors of 112 that add upto 24 are 1, 7, 16, as 1 + 7 + 16 = 24.

What are the negative pair factors of 112?

Negative factors of 112 are -1, -2, -4, -7, -8, -14, -16, -28, -56, -112. Hence, factors of 112 in pair are (-1,-112), (-2,-56), (-4,-28), (-7,-16), (-8,-14).

Help Rudolph in finding the product of factors of 112?

Factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112.
Therefore, product of factors of 112 is; 1 x 2 x 4 x 7 x 8 x 14 x 16 x 28 x 56 x 112 = 17623416832.