Steps to find factors of 144 that add upto 14

Example: Find factors of 144 that add upto 14

  • Sum of 2 and 12 : 2 + 12 = 14

Hence, factors of 144 that add upto 14 are 2 and 12.

Steps to find Factors of 144

  • Step 1. Find all the numbers that would divide 144 without leaving any remainder. Starting with the number 1 upto 72 (half of 144). The number 1 and the number itself are always factors of the given number.
    144 ÷ 1 : Remainder = 0
    144 ÷ 2 : Remainder = 0
    144 ÷ 3 : Remainder = 0
    144 ÷ 4 : Remainder = 0
    144 ÷ 6 : Remainder = 0
    144 ÷ 8 : Remainder = 0
    144 ÷ 9 : Remainder = 0
    144 ÷ 12 : Remainder = 0
    144 ÷ 16 : Remainder = 0
    144 ÷ 18 : Remainder = 0
    144 ÷ 24 : Remainder = 0
    144 ÷ 36 : Remainder = 0
    144 ÷ 48 : Remainder = 0
    144 ÷ 72 : Remainder = 0
    144 ÷ 144 : Remainder = 0

Hence, Factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144

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 144 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, 36, 48, 72, 144 are exact divisors of 144.

Examples

Can you assist Aubrey in finding factors of 144 that add upto 14?

Factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144.
Factors of 144 that add upto 14 are 2, 12, as 2 + 12 = 14.

Can you help Diji in finding sum of all even factors of 144?

Factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144.
Even factors of 144 are 2, 4, 6, 8, 12, 16, 18, 24, 36, 48, 72, 144.
Hence, sum of even factors of 144 is; 2 + 4 + 6 + 8 + 12 + 16 + 18 + 24 + 36 + 48 + 72 + 144 = 390.

Rustom is wondering to find the factors of 144 that add upto 14, but is stuck. Assist Rustom in writing the same.

Factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144.
Factors of 144 that add upto 14 are 2, 12, as 2 + 12 = 14.

Help Andy in writing even prime factors of 144.

Factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144.
Even factors of 144 are 2, 4, 6, 8, 12, 16, 18, 24, 36, 48, 72, 144.

What is the largest factors of 144?

Factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144. Largest factor f 144 is 144.

Sammy is puzzled while calculating the prime factors of 144. Can you help him find them?

Factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144.
Prime factors of 144 are 2, 2, 2, 2, 3, 3

Help Ashi in writing the negative pair factors of 144?

Negative factors of 144 are -1, -2, -3, -4, -6, -8, -9, -12, -16, -18, -24, -36, -48, -72, -144. Hence, factors of 144 in pair are (-1,-144), (-2,-72), (-3,-48), (-4,-36), (-6,-24), (-8,-18), (-9,-16), (-12,-12).