Steps to find factors of 168 that add upto 10

Example: Find factors of 168 that add upto 10

  • Sum of 2 and 8 : 2 + 8 = 10

Hence, factors of 168 that add upto 10 are 2 and 8.

Steps to find Factors of 168

  • Step 1. Find all the numbers that would divide 168 without leaving any remainder. Starting with the number 1 upto 84 (half of 168). The number 1 and the number itself are always factors of the given number.
    168 ÷ 1 : Remainder = 0
    168 ÷ 2 : Remainder = 0
    168 ÷ 3 : Remainder = 0
    168 ÷ 4 : Remainder = 0
    168 ÷ 6 : Remainder = 0
    168 ÷ 7 : Remainder = 0
    168 ÷ 8 : Remainder = 0
    168 ÷ 12 : Remainder = 0
    168 ÷ 14 : Remainder = 0
    168 ÷ 21 : Remainder = 0
    168 ÷ 24 : Remainder = 0
    168 ÷ 28 : Remainder = 0
    168 ÷ 42 : Remainder = 0
    168 ÷ 56 : Remainder = 0
    168 ÷ 84 : Remainder = 0
    168 ÷ 168 : Remainder = 0

Hence, Factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, and 168

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 168 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, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168 are exact divisors of 168.

Examples

How many factors are there for 168?

Factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168.
So there are in total 16 factors.

Raju wishes to write all the prime factors of 168. Can you assist him in doing the same?

Factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168.
Prime factors of 168 are 2, 2, 2, 3, 7.

Can you assist Aubrey in finding factors of 168 that add upto 10?

Factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168.
Factors of 168 that add upto 10 are 2, 8, as 2 + 8 = 10.

Can you help Diji in finding sum of all even factors of 168?

Factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168.
Even factors of 168 are 2, 4, 6, 8, 12, 14, 24, 28, 42, 56, 84, 168.
Hence, sum of even factors of 168 is; 2 + 4 + 6 + 8 + 12 + 14 + 24 + 28 + 42 + 56 + 84 + 168 = 448.

Rustom is wondering to find the factors of 168 that add upto 10, but is stuck. Assist Rustom in writing the same.

Factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168.
Factors of 168 that add upto 10 are 2, 8, as 2 + 8 = 10.

What are the negative pair factors of 168?

Negative factors of 168 are -1, -2, -3, -4, -6, -7, -8, -12, -14, -21, -24, -28, -42, -56, -84, -168. Hence, factors of 168 in pair are (-1,-168), (-2,-84), (-3,-56), (-4,-42), (-6,-28), (-7,-24), (-8,-21), (-12,-14).

Help Rudolph in finding the product of factors of 168?

Factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168.
Therefore, product of factors of 168 is; 1 x 2 x 3 x 4 x 6 x 7 x 8 x 12 x 14 x 21 x 24 x 28 x 42 x 56 x 84 x 168 = 634562281237119000.