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If a and b are two distinct primes, the ab2 has ___ positive divisors.

Sagot :

The number ab², where a and b are prime numbers, has 6 divisors.

How many divisors are for the given expression?

Remember that any number can be written as a product of primes, for example, 15 can be written as:

15 = 3*5

Where 3 and 5 are primes.

Such that the divisors of 15 are the factors made with the primes on the right side.

So for the number:

N = a*b^2 = a*b*b

The divisors are:

a, b, a*b, b*b

And trivially, itself and 1, so there are a total of 6 divisors.

If you want to learn more about divisors.

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