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Write 2457 as a product of prime facto form.

Ask by Newton Schmidt. in South Africa
Mar 08,2025

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\(2457 = 3^3 \times 7 \times 13\)

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To express 2457 as a product of prime factors, we can start by dividing the number by the smallest prime numbers. When we divide 2457 by 3, we get 819. Next, we can further factor 819 by dividing it by 3 again to get 273, and then 273 can be divided by 3 to yield 91. Finally, 91 can be factored into 7 (a prime number) and 13 (another prime number). So, putting it all together, 2457 can be expressed as: 2457 = 3 × 3 × 3 × 7 × 13 or 3^3 × 7 × 13. It's like peeling an onion; you keep revealing more layers until you reach the core of prime numbers!

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