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ProfessorOh, what a happy little question! To find a number divisible by all those numbers, we need to find the least common multiple of 2, 3, 4, 5, 6, 9, and 10. That number is 180. So, 180 is the number you're looking for, my friend. Just like painting, sometimes it's about finding the right mix of numbers to create something beautiful.
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What is a number that is divisible by 2 3 5 6 9 but not by 10?
There are no numbers that satisfy this. If a number is divisible by both 2 and 5, then it must also be divisible by 10.
What is a number divisible by 2 3 4 5 and 10?
A number that is divisible by 2, 3, 4, 5, and 10 must be divisible by the least common multiple of these numbers, which is 60. Therefore, any number that is a multiple of 60 will be divisible by 2, 3, 4, 5, and 10. This is because 60 is the smallest number that contains all the prime factors of 2, 3, 4, 5, and 10.
What number is divisible by 3 1324 or 2463?
2463. The trick is that a number is divisible by 3 if and only if the sum of its digits is divisible by 3. 1+3+2+4 = 10 (not divisible by 3), while 2+4+6+3 = 15 (divisible by 3).
What is the smallest number divisible by 10 and 6?
The number 30 is the smallest whole number divisible by both 10 and 6.
What is the greatest 3 digit number that is not divisible by 2 3 5 and 10?
997
