![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
The product of an integer a and 1080 is a complete square, and the minimum value of a is______ ．
Because 1080 × A is a complete square number, after factoring the prime factors by product, the exponents of all prime factors must be even; while the exponents of all prime factors in factoring 1080 = 23 × 33 × 5 are odd, so a must contain prime factors 2, 3 and 5, so the minimum value of a is 2 × 3 × 5 = 30
RELATED INFORMATIONS
- 1. The product of 2520 multiplied by a natural number x is a complete square. Find the minimum value of X and the square of the product Why is the minimum? If 2 * 5 * 7 column 420 is equal to 6 * 70, I'm stupid
- 2. The product of 1512 multiplied by a natural number is a complete square number. What is the minimum of the natural number? What is the square of the product?
- 3. If the product of an integer a and 1260 is a complete square number, then the minimum value of a is? What is the square number?
- 4. A non-zero integer a and 8569 take the opportunity to get a square, and find the minimum value of A Trouble Liu feng'er to see the title clearly
- 5. The product of a and 45 is a complete square, the minimum value of a?
- 6. The product of a number a and 60 is a complete square number. Find the minimum value of a and the complete square number
- 7. The product of 1016 times a (a is a positive integer) is a complete square. What is the minimum value of a?
- 8. The product of an integer a and 120 is a square number. When a is the smallest, what is the square number
- 9. If the product of an integer a and 150 is a square number, then a is the minimum
- 10. The product of an integer a and 180 is a square number. When a is the smallest, what is the square number
- 11. More than 2000 years ago, Plato, the ancient Greek philosopher, called a man of extraordinary intelligence what?
- 12. What did Plato, the ancient Greek philosopher, regard as madness
- 13. Seeking the views of ancient Greek philosophers such as Plato, Socrates and Aristotle on truth, goodness and beauty No article, just a few sentences
- 14. Plato, the ancient Greek philosopher, once pointed out that if M is an integer greater than 1, a = 2m, B = 2m '2-1, C = m' 2 + 1, then a, B, C are Pythagorean numbers. Do you think that's right? If yes, can you use this conclusion to draw some Pythagorean numbers? Requirements: List grid!
- 15. Plato, the ancient Greek philosopher, once pointed out that if M is an integer greater than 1, a = 2m, B = M2-1, C = M2 + 1, then a, B and C are Pythagorean numbers. Do you think it is correct? If correct, please explain the reason and use this conclusion to draw some Pythagorean numbers
- 16. M is any positive integer greater than 2. Try to prove that M2-1, 2m, M2 + 1 are Pythagorean numbers. Note: "M2" is the second power of M
- 17. 2205 times a natural number a, the product is the square of a non-zero integer, then what is the minimum of a?
- 18. The product of 2205 times a natural number a is the square of an integer to find the smallest a and the integer
- 19. 46305 times a natural number a, the product is the square of an integer, then what is the minimum value of a?
- 20. 2205 times a natural number a, the product is a complete square number, then a is the minimum______ ．