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Express 900 as a product of prime factors

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AAAaannndd the bot gets it wrong yet again!

900 = 9 * 100 = 2² 3² 5²

900 = 2 x 2 x 2 x 3 x 3 x 5

900 = 2³ x 3² x 5

Did you know?

Did you know that expressing a number as a product of its prime factors is a fundamental concept in mathematics and plays a crucial role in various applications? Let's take the number 900 as an example. To express it as a product of prime factors, we start by finding the smallest prime number that divides it evenly, which is 2. Dividing 900 by 2 gives us 450. We continue this process by dividing 450 by the smallest prime number, which is 2 again, resulting in 225. Repeating this process, we divide 225 by the smallest prime number, which is 3, to get 75. Continuing further, dividing 75 by 3 gives us 25. Finally, dividing 25 by the smallest prime number, 5, we obtain 5. Combining all the prime factors, we have 2 × 2 × 3 × 3 × 5 × 5, which is equivalent to 2² × 3² × 5². Therefore, we can express 900 as a product of its prime factors as 2² × 3² × 5². This process of breaking down a number into its prime factors is important for simplifying fractions, identifying common factors, finding the greatest common divisor, and solving various mathematical problems.