Question

In the United States nearly 8 x 10^9 text messages are sent everymonth About how many text messages is this! Find the primefactorization of this number and write the result using exponents.

Answer 1

$8\times10^9=2^{12}\times5^9$

1) Since in the USA 8 x 10 ^9 messages are sent every month, that means that approximately 8 billion messages are sent.

2) We can Prime factorize it:

Note that on the right side we've picked only prime numbers. In this case, 2 and 5.

So we can rewrite 8 x 10^9 as prime factors.

$8\times10^9=2^{12}\times5^9$

3) Hence, the answer is:

$8\times10^9=2^{12}\times5^9$