No.
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No, because for a number to be divisisble by 9, it's digits (2,6 & 7) must add together to produce a number divisible by 9. 2+6+7=8+7=15. Is 15 divisible by 9? No, so we can conclude that 267 is not divisible by 9.
There are 267 such numbers.
No, 7 is a natural number divisible by 7 and not 14 for example. In fact every odd multiple of 7 (i.e. 7 times 1,3,5,7,...) is divisible by 7 and not 14.
No, 10032 is not evenly divisible by 7.
133 divided by 7 = 19 so 133 is divisible by 7