Question

The number 900 has an interesting property in that the only primes that divide into it evenly are 2, 3, and 5. What are the next two numbers after 900 that also have this property?

Answer 1

900 = 2 · 2 · 3 · 3 · 5 · 5

Next numbers:

2 · 2 · 2 · 3 · 3 · 3 · 5 · 5 · 5 = 900 · 15 = 13,500

2 · 2 · 2 · 2 · 3 · 3 · 3 · 3 · 5 · 5 · 5 · 5 = 13,500 · 15 = 202,500

202,500 · 15 = 3,037,500

3,037,500 · 15 = 45,562,500

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