Question

Express 32000 as a product of powers of prime factors.

• A. $2^8\times 5^2$
• B. $2^8\times 5^3$
• C. $2^7\times 5^4$
• D. $2^8\times 5^4$

Answer 1

The correct option is B

$2^8\times 5^3$

32000 can be written as

$32000=(2\times 2\times 2\times 2\times 2)\times 1000=2^5\times {10}^3$
$(as32=2\times 2\times 2\times 2\times 2)$

= $2^5\times (2\times 5{)}^3$
= $2^5\times 2^3\times 5^3$
= $2^8\times 5^3$