divisibility rules #maths
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Solution: Run divisibility tests on each number.
The divisibility tests are the following:
2: When units digit is 0, 2, 4, 6, or 8.
3: When digit sum is a multiple of 3.
5: When units digit is 0 or 5.
6: When it passes the test of 2 and 3.
9: When digit sum is a multiple of 9.
10: When units digit is 0.
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3450 passes 2, 3, 5, 6, 10
282 passes 2, 3, 6
8199 passes 3, 9
123456 passes 2, 3, 6
112 passes 2
5374 passes 2
367290 passes 2, 3, 5, 6, 9, 10
From the following, only 367290 is divisible by all numbers.
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