Dividing 360 by:
2=180
3=120
4=90
5=72
9=40
So the answer is yes.
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Being divisible by 2 and 3: 354 (and 360 if inclusive)Trick:Numbers divisible by 2 always ends with an even number (2,4,6,8,0)So: numbers divisible by 2 strictly between 350 and 360: 352, 354, 356, 358Numbers divisible by 3 have the sum of the digits add up to 3,6,9,12 and so onSince there are only 4 numbers there, just try them one by one352: 3+5+2=10 (not divisible by 3)354: 3+5+4=12 (divisible by 3)356: 3+5+6=14 (not divisible by 3)358: 3+5+8=16 (not divisible by 3)354/2=177354/3=118
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).
To determine if a number is divisible by 6, it must be divisible by both 2 and 3. To determine if a number is divisible by 2, it should be even - in other words, it should end with 0, 2, 4, 6, or 8. To determine if a number is divisible by 3, the sum of its digits should be divisible by 3. 54,132 is an even number, so it is divisible by 2. 5 + 4 + 1 + 3 + 2 = 15, which is divisible by 3, so 54,132 is divisible by 3. Since 54,132 is divisible by both 2 and 3, it is divisible by 6.
1000 is the smallest 4 digit number but of the two factors, it is only divisible by 2. As 999 is obviously divisible by 3 then 999 + 3 = 1002 is also divisible by 3 and, as an even number, is also divisible by 2. The answer is 1002
To determine if a number is divisible by both 2 and 3, we need to check if it is divisible by the least common multiple of 2 and 3, which is 6. 4671 is not divisible by 6 because the sum of its digits (4 + 6 + 7 + 1 = 18) is not divisible by 3, making 4671 not divisible by 3. 3858 is divisible by 6 because the sum of its digits (3 + 8 + 5 + 8 = 24) is divisible by 3, making 3858 divisible by 3 and 2. 6494 is not divisible by 6 because it is an odd number, making it not divisible by 2, and the sum of its digits (6 + 4 + 9 + 4 = 23) is not divisible by 3, making 6494 not divisible by 3.