Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

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.

https://brainly.com/question/629998

#SPJ1