What is the factor of 250?

Understand the Problem

The question is asking for the factors of 250, meaning we need to identify all integers that can divide 250 without leaving a remainder.

Answer

The factors of 250 are: $1, 2, 5, 10, 25, 50, 125, 250$.

Steps to Solve

Identify the number to factor The number we need to factor is 250.
Start with the smallest integer We will begin checking for factors starting with 1, as every number is divisible by 1.

Check if $250 \div 1 = 250$. Since this results in an integer, 1 is a factor.

Continue checking consecutive integers Next, we continue to check integers in ascending order up to 250:

Check if $250 \div 2$. Since $250 = 2 \times 125$, 2 is a factor.
Check if $250 \div 3$. It does not divide evenly, so 3 is not a factor.
Check if $250 \div 4$. It does not divide evenly, so 4 is not a factor.
Check if $250 \div 5$. Since $250 = 5 \times 50$, 5 is a factor.

Continue finding factors Continue this process until reaching 250:

$250 \div 10 = 25$, so 10 is a factor.
$250 \div 25 = 10$, so 25 is a factor.
$250 \div 50 = 5$, so 50 is a factor.
$250 \div 125 = 2$, so 125 is a factor.
Finally, $250 \div 250 = 1$, confirming 250 itself is also a factor.

List all found factors Collect all the factors found: The factors of 250 are: 1, 2, 5, 10, 25, 50, 125, and 250.

The factors of 250 are: $1, 2, 5, 10, 25, 50, 125, 250$.

More Information

The number 250 is a composite number and can be expressed as the product of its prime factors: $250 = 2 \times 5^3$. Knowing its factors helps in various mathematical applications, such as simplifying fractions or finding greatest common divisors.

Tips

Skipping numbers without checking them: Always check each integer in sequence to ensure no factors are overlooked.
Not recognizing that factors come in pairs: For example, if you find that 5 is a factor, don't forget its pair, which is 50 (since $5 \times 50 = 250$).

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