Steps to find factors of 68 that add upto 21

Example: Find factors of 68 that add upto 21

  • Sum of 4 and 17 : 4 + 17 = 21

Hence, factors of 68 that add upto 21 are 4 and 17.

Steps to find Factors of 68

  • Step 1. Find all the numbers that would divide 68 without leaving any remainder. Starting with the number 1 upto 34 (half of 68). The number 1 and the number itself are always factors of the given number.
    68 ÷ 1 : Remainder = 0
    68 ÷ 2 : Remainder = 0
    68 ÷ 4 : Remainder = 0
    68 ÷ 17 : Remainder = 0
    68 ÷ 34 : Remainder = 0
    68 ÷ 68 : Remainder = 0

Hence, Factors of 68 are 1, 2, 4, 17, 34, and 68

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 68 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, 17, 34, 68 are exact divisors of 68.

Examples

How many factors are there for 68?

Factors of 68 are 1, 2, 4, 17, 34, 68.
So there are in total 6 factors.

Raju wishes to write all the prime factors of 68. Can you assist him in doing the same?

Factors of 68 are 1, 2, 4, 17, 34, 68.
Prime factors of 68 are 2, 2, 17.

Rustom is wondering to find the factors of 68 that add upto 21, but is stuck. Assist Rustom in writing the same.

Factors of 68 are 1, 2, 4, 17, 34, 68.
Factors of 68 that add upto 21 are 4, 17, as 4 + 17 = 21.

Help Rudolph in finding the product of factors of 68?

Factors of 68 are 1, 2, 4, 17, 34, 68.
Therefore, product of factors of 68 is; 1 x 2 x 4 x 17 x 34 x 68 = 314432.

What is the largest factors of 68?

Factors of 68 are 1, 2, 4, 17, 34, 68. Largest factor f 68 is 68.

Help Ashi in writing the negative pair factors of 68?

Negative factors of 68 are -1, -2, -4, -17, -34, -68. Hence, factors of 68 in pair are (-1,-68), (-2,-34), (-4,-17).

Write the correct prime factorization pattern of 68?

Correct prime factorization pattern of 68 is 22 x 17.