Pre-Algebra Examples

$120000000$

Step 1

Find the prime factorization of $120000000$ .

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Step 1.1

$120000000$ has factors of $2$ and $60000000$ .

$2 \cdot 60000000$

Step 1.2

$60000000$ has factors of $2$ and $30000000$ .

$2 \cdot 2 \cdot 30000000$

Step 1.3

$30000000$ has factors of $2$ and $15000000$ .

$2 \cdot 2 \cdot 2 \cdot 15000000$

Step 1.4

$15000000$ has factors of $2$ and $7500000$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 7500000$

Step 1.5

$7500000$ has factors of $2$ and $3750000$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3750000$

Step 1.6

$3750000$ has factors of $2$ and $1875000$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 1875000$

Step 1.7

$1875000$ has factors of $2$ and $937500$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 937500$

Step 1.8

$937500$ has factors of $2$ and $468750$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 468750$

Step 1.9

$468750$ has factors of $2$ and $234375$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 234375$

Step 1.10

$234375$ has factors of $3$ and $78125$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 78125$

Step 1.11

$78125$ has factors of $5$ and $15625$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 5 \cdot 15625$

Step 1.12

$15625$ has factors of $5$ and $3125$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 5 \cdot 5 \cdot 3125$

Step 1.13

$3125$ has factors of $5$ and $625$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 5 \cdot 5 \cdot 5 \cdot 625$

Step 1.14

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

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 125$

Step 1.15

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

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 25$

Step 1.16

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

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5$

Step 2

Since $120000000$ has factors other than $120000000$ and $1$ , $120000000$ is a composite number.

$120000000$ is a composite number