What can 27 be divided by?

Understand the Problem

The question is asking for the factors of the number 27, meaning what numbers can divide 27 without leaving a remainder.

Answer

The factors of 27 are $1, 3, 9, 27$.
Answer for screen readers

The factors of the number 27 are $1, 3, 9, 27$.

Steps to Solve

  1. Start with the number itself

To find the factors of 27, we start with the number 27 and check every integer up to 27 to see if it divides evenly.

  1. Check divisibility of integers

Begin checking for divisibility from 1 to 27. If the division results in a whole number (i.e., there is no remainder), that integer is a factor.

  1. List all the factors

The factors of 27 are:

  • 1 (since $27 \div 1 = 27$)
  • 3 (since $27 \div 3 = 9$)
  • 9 (since $27 \div 9 = 3$)
  • 27 (since $27 \div 27 = 1$)
  1. Compile the complete list of factors

Thus, the complete list of factors of 27 is {1, 3, 9, 27}.

The factors of the number 27 are $1, 3, 9, 27$.

More Information

Factors are the integers that can divide a number without leaving a remainder. In this case, the number 27 can be factored into smaller whole numbers, which helps in various mathematical contexts, such as simplifying fractions or solving equations.

Tips

  • Confusing factors with multiples. Factors are numbers that divide evenly into the given number, while multiples are the result of multiplying that number by integers.
  • Skipping numbers while checking for divisibility. It's important to check every integer up to 27.

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