Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
Write as a product of prime powers. What is the power of , and how many different primes divide ?
Every composite number is a product of primes in exactly one way, apart from the order (the Fundamental Theorem of Arithmetic). Find the primes with a factor tree or by repeated division, and write repeated primes as powers. A number ends in only if its primes include both and .
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Divide. , , , , .
Step 2. Collect. .
Step 3. Read off. The power of is . The different primes are : four of them.
Answer: ; the power of is , and different primes divide it.
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