Steps to find factors of 224 that add upto 36

Example: Find factors of 224 that add upto 36

  • Sum of 4 and 32 : 4 + 32 = 36

Hence, factors of 224 that add upto 36 are 4 and 32.

Steps to find Factors of 224

  • Step 1. Find all the numbers that would divide 224 without leaving any remainder. Starting with the number 1 upto 112 (half of 224). The number 1 and the number itself are always factors of the given number.
    224 ÷ 1 : Remainder = 0
    224 ÷ 2 : Remainder = 0
    224 ÷ 4 : Remainder = 0
    224 ÷ 7 : Remainder = 0
    224 ÷ 8 : Remainder = 0
    224 ÷ 14 : Remainder = 0
    224 ÷ 16 : Remainder = 0
    224 ÷ 28 : Remainder = 0
    224 ÷ 32 : Remainder = 0
    224 ÷ 56 : Remainder = 0
    224 ÷ 112 : Remainder = 0
    224 ÷ 224 : Remainder = 0

Hence, Factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, and 224

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 224 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, 32, 56, 112, 224 are exact divisors of 224.

Examples

How many factors are there for 224?

Factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224.
So there are in total 12 factors.

Raju wishes to write all the prime factors of 224. Can you assist him in doing the same?

Factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224.
Prime factors of 224 are 2, 2, 2, 2, 2, 7.

Can you assist Aubrey in finding factors of 224 that add upto 36?

Factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224.
Factors of 224 that add upto 36 are 4, 32, as 4 + 32 = 36.

Can you help Diji in finding sum of all even factors of 224?

Factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224.
Even factors of 224 are 2, 4, 8, 14, 16, 28, 32, 56, 112, 224.
Hence, sum of even factors of 224 is; 2 + 4 + 8 + 14 + 16 + 28 + 32 + 56 + 112 + 224 = 496.

Rustom is wondering to find the factors of 224 that add upto 36, but is stuck. Assist Rustom in writing the same.

Factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224.
Factors of 224 that add upto 36 are 4, 32, as 4 + 32 = 36.

What are the negative pair factors of 224?

Negative factors of 224 are -1, -2, -4, -7, -8, -14, -16, -28, -32, -56, -112, -224. Hence, factors of 224 in pair are (-1,-224), (-2,-112), (-4,-56), (-7,-32), (-8,-28), (-14,-16).

Help Rudolph in finding the product of factors of 224?

Factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224.
Therefore, product of factors of 224 is; 1 x 2 x 4 x 7 x 8 x 14 x 16 x 28 x 32 x 56 x 112 x 224 = 126324651851776.