2500=2*2*5*5*5*5
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To find out if a number is a square number, find its prime factors and check if all prime factors duplicate. In this example, the prime factors are: 2,2,5,5,5,5 We can see that all numbers are duplicates, and can be paired up. So 2500 is a square number of 2x5x5 or 50.
As a product of its prime factors: 2*2*5*5*5*5 = 2500
Any of its factors
147 and 2500 have no common factors other than 1, so their common multiples are their product, 367,500, and all multiples of 367,500 (735,000, 1,102,500, 1,470,000, 1,837,500, etc.).
As a product of its prime factors: 2*2*5*5*5*5 = 2500 or 2^2 times 5^4 = 2500