Pre-Algebra Examples

$400000000000000$

Step 1

Find the prime factorization of $400000000000000$ .

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Step 1.1

$400000000000000$ has factors of $2$ and $200000000000000$ .

$2 \cdot 200000000000000$

Step 1.2

$200000000000000$ has factors of $2$ and $100000000000000$ .

$2 \cdot 2 \cdot 100000000000000$

Step 1.3

$100000000000000$ has factors of $2$ and $50000000000000$ .

$2 \cdot 2 \cdot 2 \cdot 50000000000000$

Step 1.4

$50000000000000$ has factors of $2$ and $25000000000000$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 25000000000000$

Step 1.5

$25000000000000$ has factors of $2$ and $12500000000000$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 12500000000000$

Step 1.6

$12500000000000$ has factors of $2$ and $6250000000000$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 6250000000000$

Step 1.7

$6250000000000$ has factors of $2$ and $3125000000000$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3125000000000$

Step 1.8

$3125000000000$ has factors of $2$ and $1562500000000$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 1562500000000$

Step 1.9

$1562500000000$ has factors of $2$ and $781250000000$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 781250000000$

Step 1.10

$781250000000$ has factors of $2$ and $390625000000$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 390625000000$

Step 1.11

$390625000000$ has factors of $2$ and $195312500000$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 195312500000$

Step 1.12

$195312500000$ has factors of $2$ and $97656250000$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 97656250000$

Step 1.13

$97656250000$ has factors of $2$ and $48828125000$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 48828125000$

Step 1.14

$48828125000$ has factors of $2$ and $24414062500$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 24414062500$

Step 1.15

$24414062500$ has factors of $2$ and $12207031250$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 12207031250$

Step 1.16

$12207031250$ has factors of $2$ and $6103515625$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 6103515625$

Step 1.17

$6103515625$ has factors of $5$ and $1220703125$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 1220703125$

Step 1.18

$1220703125$ has factors of $5$ and $244140625$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 244140625$

Step 1.19

$244140625$ has factors of $5$ and $48828125$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5 \cdot 48828125$

Step 1.20

$48828125$ has factors of $5$ and $9765625$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 9765625$

Step 1.21

$9765625$ has factors of $5$ and $1953125$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 1953125$

Step 1.22

$1953125$ has factors of $5$ and $390625$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 390625$

Step 1.23

$390625$ has factors of $5$ and $78125$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 78125$

Step 1.24

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

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

Step 1.25

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

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

Step 1.26

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

Step 1.27

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

Step 1.28

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

Step 1.29

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

Step 2

Since $400000000000000$ has factors other than $400000000000000$ and $1$ , $400000000000000$ is a composite number.

$400000000000000$ is a composite number