Question

22. How many divisors (including 1 but excluding 1000) are there for the number 1000

Answer 1

Given Number is 1000
we have to find the total number of divisors
The number of divisors of a number including 1 and itself = (1+ exponesation power of prime factor 2)*(1+ exponesation power of prime factor 3)……
$(3 + 1) \times (3 + 1)$
The number of divisors of 1000 including 1 and excluding 1000 = 16-1=15
$= total \: number \: of \: divisors \: are \: 15 \:$

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