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anemone
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Prove that $\dfrac{378^3+392^3+1053^3}{2579}$ is an integer.
Integers are whole numbers, both positive and negative, including zero. They do not have any decimal or fractional parts.
A number is divisible by another number if the remainder is equal to zero when the first number is divided by the second number. For example, 12 is divisible by 4 because 12 ÷ 4 = 3 with no remainder.
The purpose of this challenge is to test and improve one's understanding of integers and divisibility rules through a series of mathematical problems and puzzles.
Practice is key in improving your skills with integers and divisibility. You can also review and learn different divisibility rules and strategies to solve problems more efficiently.
It is recommended to solve the challenge without a calculator as it will help improve your mental math skills. However, you can use a calculator if needed, but it may take away from the purpose of the challenge.