15. which of the following is divided by 3,5 and 7
Answers
Answer:
3 and 5
Step-by-step explanation:
3x5. 15
15/3 5
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1= (3 - 1)/2, 2 = (5 - 1)/2, and 3 = (7 - 1)/2. So we’re looking for a value which is (m - 1)/2 mod m, as m varies between 3, 5, and 7. This means the solution is (M - 1)/2 mod M where M is the least common multiple of 3, 5, and 7. Since those three values are all coprime, their least common multiple is their product, 3 * 5 * 7 = 105, and thus the solution is (105 - 1)/2 = 52 mod 105.
Any value which is 52 mod 105 is a solution, and every solution is 52 mod 105. Thus, the smallest positive solution is 52. But also there are solutions 105 + 52, 2 * 105 + 52, -105 + 52, etc.
Step-by-step explanation:
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