Factors of 12

Understand the Problem

The question is asking for the factors of the number 12, which are the integers that can be multiplied together to produce 12.

Answer

1, 2, 3, 4, 6, 12
Answer for screen readers

The factors of 12 are: 1, 2, 3, 4, 6, and 12.

Steps to Solve

  1. Identify potential factors
    Begin by listing the integers that could be factors of 12. Factors must be whole numbers.

  2. Divide 12 by each integer
    Start dividing 12 by each integer from 1 up to 12 itself, checking if it divides evenly (no remainder).

  3. List the factors
    When dividing, if the result is a whole number, that integer is a factor. Write down the pairs of factors.

Example of division:

  • $12 \div 1 = 12$
  • $12 \div 2 = 6$
  • $12 \div 3 = 4$
  • $12 \div 4 = 3$
  • $12 \div 6 = 2$
  • $12 \div 12 = 1$
  1. Compile the factors
    After checking all integers, compile the list of factors.

The factors of 12 are: 1, 2, 3, 4, 6, and 12.

More Information

Factors are numbers that can be multiplied together to give the original number. For example, $3 \times 4 = 12$ and $2 \times 6 = 12$. Understanding factors is essential in various areas of mathematics, including simplifying fractions and finding greatest common divisors.

Tips

A common mistake is to miscount or include non-integer results or negative numbers. Remember, only the whole numbers that divide evenly into 12 should be included as factors.

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