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There are an infinite number of positive integers divisible by 3, 5, and 7. This is because there is no limit to numbers and they go on indefinitely in both a positive and a negative direction.
No, positive integers ending with the digit 5 are divisible by 5.
There are 130 positive integers less than 1,000 that are divisible by seven but not divisible by 11
6
105, 210, 315 and so on.
533
All positive integers are divisible by one.
yes. Negative integers could divisible by 5.
All negative integers ending in 5 and 0 are divisible by 5.
To find the number of positive integers less than 1001 that are divisible by either 2 or 5, we use the principle of inclusion-exclusion. First, the count of integers divisible by 2 is ( \left\lfloor \frac{1000}{2} \right\rfloor = 500 ), and those divisible by 5 is ( \left\lfloor \frac{1000}{5} \right\rfloor = 200 ). The count of integers divisible by both 2 and 5 (i.e., by 10) is ( \left\lfloor \frac{1000}{10} \right\rfloor = 100 ). Thus, the total is ( 500 + 200 - 100 = 600 ). Therefore, there are 600 positive integers less than 1001 that are divisible by either 2 or 5.
Of the 729 numbers that satisfy the requirement of positive integers, 104 are divisible by 7.
There are 1,000 positive integers between 1,000 and 9,999, inclusive, that are divisible by nine.