is 1,2602 divisble by 5
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Yes, 1260 divided by 6 = 210
1258 isn't divisible by 9. 1251 and 1260 are. The digits of numbers that are divisible by 9 add up to a multiple of 9. If you were to stick a 2 in there somewhere, the result would be divisible by 9.
252
1260 / 1500 can be reduced. Both numbers end in a zero, so we can see that both are divisible by 10. This gives us 126 / 150. We know that both of these are also divisible by two because they end in even numbers; this gives us 63 / 75. 75 is divisible by 1, 3, 5, 15, 25 and itself; 63 is divisible by 1, 3, 7, 9, 21, and itself. Dividing by 3 gives us 21 / 25, which does not reduce any further.
It's false because we have numbers that is divisible by 10 but not divisible by 5 and vice versa, we have numbers that is divisible by 10 but not divisible by 5.