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It's easy to work out. Take the lowest 3-digit multiple of 6, which is 102. Then add 6. Then add 6. And so on. (Or you could cheat, and look up a list of multiples like I did.)

102 108 114 120 126 132 138 144 150 156 162 168 174 180 186 192 198 204 210 216 222 228 234 240 246 252 258 264 270 276 282 288 294 300 306 312 318 324 330 336 342 348 354 360 366 372 378 384 390 396 402 408 414 420 426 432 438 444 450 456 462 468 474 480 486 492 498 504 510 516 522 528 534 540 546 552 558 564 570 576 582 588 594 600 606 612 618 624 630 636 642 648 654 660 666 672 678 684 690 696 702 708 714 720 726 732 738 744 750 756 762 768 774 780 786 792 798 804 810 816 822 828 834 840 846 852 858 864 870 876 882 888 894 900 906 912 918 924 930 936 942 948 954 960 966 972 978 984 990 996

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Q: What three digit numbers are divisible by six?
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The highest six-digit number divisible by 3, 4, and 5 is 999960.


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If the last digit of a number is 6 then is 6 a factor?

Not necessarily. For example, the number 56 ends in a 6 but is not divisible by six. To check if a number is divisible by six, the number must be divisible by both 2 and 3. To check this, the last digit must be even and the sum of the digits must be divisible by three. If the number meets these conditions, it is in fact divisible by six.


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The lowest 4-digit number that is divisible by 6 is 1002


Is every two digit multiple of six next to a prime number?

No, not every two-digit multiple of six is next to a prime number. A multiple of six will always be an even number, divisible by both 2 and 3. Prime numbers, on the other hand, are only divisible by 1 and themselves. Therefore, there will be even numbers that are multiples of six that are not next to prime numbers.


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