Pre-Algebra Examples

$10000$

Step 1

Find the prime factorization of $10000$ .

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Step 1.1

$10000$ has factors of $2$ and $5000$ .

$2 \cdot 5000$

Step 1.2

$5000$ has factors of $2$ and $2500$ .

$2 \cdot 2 \cdot 2500$

Step 1.3

$2500$ has factors of $2$ and $1250$ .

$2 \cdot 2 \cdot 2 \cdot 1250$

Step 1.4

$1250$ has factors of $2$ and $625$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 625$

Step 1.5

$625$ has factors of $5$ and $125$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 125$

Step 1.6

$125$ has factors of $5$ and $25$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 25$

Step 1.7

$25$ has factors of $5$ and $5$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5 \cdot 5$

Step 2

Since $10000$ has factors other than $10000$ and $1$ , $10000$ is a composite number.

$10000$ is a composite number