Question

express each of following as product of powers of thier prime factors?

1]948

Answer 1

948 = 2 × 2 × 3 × 79
Expressing as power,
948 = 2² × 3¹ × 79¹

Answer 2

since 948 is even number,  units digit is 8 - divisible by 8 - it has a factor 2. The last two digits 48 - it is divisible by 4 => number is divisible by 4.  Sum of all digits is 21 So it is divisible by 3. 

948 = 2 * 2 * 3 * 79 
Now 79 seems to be prime... so stop.
2² * 3 * 79