Answer:
[tex]160 = 2^5*5[/tex]
Step-by-step explanation:
Prime factors
The first primes are:
2, 3, 5, 7, 11, 13...
Factoring a number in prime factors implies dividing it by the numbers above and listing those factors whose division is a whole number, i.e. no remainder is left.
The number 160 can be divided by 2:
160 / 2 =80
Let's try dividing by 2 until possible:
80 / 2 = 40
40 / 2 = 20
20 / 2 = 10
10 / 2 = 5
The last factor can only be divided by 5. The list of factors is:
160 = 2*2*2*2*2*5
Expressing in index form:
[tex]160 = 2^5*5[/tex]
