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.
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
A number that is divisible by 2, 3, 4, 5, 6, 8, 9, and 10 must be divisible by the least common multiple (LCM) of these numbers. The LCM of 2, 3, 4, 5, 6, 8, 9, and 10 is 360. Therefore, any multiple of 360 will be divisible by all of these numbers.
90, 180, 270, 360
360
360
are 2 and 8 divisible by 4
3 is divisible by neither 2 nor 4. 3 divided by 2 is 11/2 = 1.5 3 divided by 4 is 3/4 = 0.75
No since only numbers in which its sum can be divisible by 3 is divisible by 3. 2 + 4 + 4 is 10, and 10 is not divisible by 3.
2, 3, 4, 5, 6, 8, 9, and 10 can all go into 360, 720, 1080 and more.
1, 2, 7, 3 and 6 are not divisible by 4 and/or 9. 12736 is divisible by 4 but not by 9.
650130 is not divisible by 4, but it is divisible by 2, 3, 5, 6, and 10
not divisible by 9.but it is divisible by 4.