What are all of the factors of 8?

Understand the Problem

The question is asking for the factors of the number 8. To find the factors, we need to determine which whole numbers divide 8 without leaving a remainder.

Answer

The factors of 8 are $1, 2, 4,$ and $8$.

Steps to Solve

Identify the definition of factors

Factors of a number are the whole numbers that can divide the number evenly, without leaving a remainder.

List whole numbers to test

We need to consider the whole numbers from 1 up to the number itself (in this case, 8). So we will test the numbers: 1, 2, 3, 4, 5, 6, 7, and 8.

Test each number for factors

Now, we will divide 8 by each of these numbers to see if the result is a whole number (i.e., there is no remainder):

$8 \div 1 = 8$ (whole number, so 1 is a factor)
$8 \div 2 = 4$ (whole number, so 2 is a factor)
$8 \div 3 = \frac{8}{3} \approx 2.67$ (not a whole number, so 3 is not a factor)
$8 \div 4 = 2$ (whole number, so 4 is a factor)
$8 \div 5 = \frac{8}{5} = 1.6$ (not a whole number, so 5 is not a factor)
$8 \div 6 = \frac{8}{6} \approx 1.33$ (not a whole number, so 6 is not a factor)
$8 \div 7 = \frac{8}{7} \approx 1.14$ (not a whole number, so 7 is not a factor)
$8 \div 8 = 1$ (whole number, so 8 is a factor)

Compile list of factors

From the tests, we find that the factors of 8 are: 1, 2, 4, and 8.

The factors of 8 are $1, 2, 4,$ and $8$.

More Information

Finding factors is a foundational concept in mathematics that helps in understanding divisibility. Factors are essential for solving problems related to fractions, ratios, and number theory.

Tips

Confusing factors with multiples: Remember, factors divide a number evenly, while multiples are products of a number with whole numbers.
Skipping numbers: Sometimes, it's easy to overlook checking all integers up to the number itself.

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