Consider integer p which has 5 distinct prime factors and integer q which has 2 distinct prime factors. If the greatest common factor of p and q is 21, how many distinct prime factors does the product pq have?

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Integer p has 5 distinct prime factors and integer q has 2 distinct prime factors. Given that the GCD(p, q) is 21, we can identify the prime factors of p as x, y, 3, 7, and another prime, while the prime factors of q are 3…

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Comments

SongApr 10, 2024

Tricky wording but good practice

01.Mar 30, 2024

thanks a lot

What this question tests

What it tests

Your command of divisibility, primes, factors, parity, and how the GMAT tests properties of integers.

Common trap

Forgetting that 1 is not prime, that 0 is divisible by every integer, or that negative numbers flip your assumptions.