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Q: What is a 3 digit number that is divisible by 6 and by 9?

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The number 100,002 is divisible by 3. The largest 5 digit number is 99996 (6 less).

180

108 is the smallest 3-digit number divisible by 2,3,4 & 6

270

Every sixth number from 1,002 to 9,996 is divisible by 3 and 6. There are 1,500 of them.

261, 264, or 267

yes 552 is divisible by 6 and the result is 92... to find out if a number is divisible by 6 then that number must be divisible by 2 and 3.. 1.If a number is divisble by three then the last digit must be divisible by 2 (so that the last digit must be 0,2,4,6,8) in this number the last digit is 2 so that it is divisible by 2 2.If a number is divisble by 3 then the sum of its digit must be divisible by 3. In this case the sum of the digits of 552 is 5+5+2= 12 and 12 is divisible by 3.... If this two rules fit in then that number is divisible by 6

60 is divisible by 3, 4, 5, and 6.

The first 3 digit number divisible by 19 is 114 (= 19 x 6) The last 3 digit number divisible by 19 is 988 (= 19 x 52) That means that there are 52 - 6 + 1 = 47 three digit numbers that are divisible by 19.

-3

100,002

180

120

60

100,002

180

-3

6000

300

600

How about: 108

The way to know if a number is divisible by 3 is if its digit sum adds up to a number that is divisible by 3 (3, 6 or 9). The way to know if a number is divisible by 2 is if that number is even. That is, a number is divisible by two if the units are 0, 2, 4, 6 or 8. A number is divisible by 6 if it meets both these rules. In this case, 402 has the digit sum 6, and the units value is 2. Therefore, we can say that 402 is divisible by 6.

There are 151 3-digit numbers that are divisible by 6.

To be divisible by 2 the number must be even, that is its last digit must be 2, 4, 6, 8, or 0; the last digit of 26 is 6 which is one of {2, 4, 6, 8, 0} so 26 is even and divisible by 2. To be divisible by 3 sum the digits of the number; if this sum is divisible by 3 then the original number is divisible by 3. The test can be repeated on the sum until a single digit remains, in which case if this single digit is 3, 6, or 9 then the original number is divisible by 3; For 26: 2 + 6 = 8 which is not one of {3, 6, 9} so 26 is not divisible by 3. To be divisible by 5 the last digit must be a 0 or 5; the last digit of 26 is a 6 which is not 0 nor 5, so 26 is not divisible by 5. To be divisible by 9 sum the digits of the number; if this sum is divisible by 9 then the original number is divisible by 9. The test can be repeated on the sum until a single digit remains, in which case if this single digit is 9 then the original number is divisible by 9; For 26: 2 + 6 = 8 which is not 9 so 26 is not divisible by 9. 26 is divisible by 2 but not divisible by 3, 5 nor 9.

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