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Simple Method:

1) Ask yourself: What is the smallest four digit number? No prizes here.

2) Answer = 1000.

3) Now, count back one by one and evaluate whether the number is divisible by three. Four example, one less than 1000 is 999. If we divide 999 by 3, we get 333, which means that the next number divisible by three will be 1002.

Their is a method for evaluating items like this quickly, and its called "divisibility tests". Here are some of the more common ones for future use:

2 - If number is even it is divisible by two.

3 - If digits sum to or sum to a product of three, it is divisible by three.

4 - If the last two digits are divisible by four, then it is divisible by four.

5 - If the last number ends in five or zero, it is divisible by five.

6 - If the number is divisible by two and three, it is divisible by six.

8 - If the last three digits of the number are divisible by eight, then it is divisible by eight.

9 - If the sum of the number's digits sums to or sums to a product of nine, then it is divisible by 9.

10 - If a number ends in zero, it is divisible by 10.

Q: What is the least 4-digit number that is divisible by 3?

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the least number divisible by 1, 2, 3, 4 & 6 is 12.

30 is divisible by, and is the least common multiple of, 2, 3, and 5.

For a number to be divisible by another number it must be at least that number. As 3 is less than 837 it cannot be divisible by 837. However, 3 IS a FACTOR of 837, that is 3 divides into 837 without remainder.

For a number to be divisible by another number it must be at least that number. As 3 is less than 605 it cannot be divisible by 605. Also 3 is not a FACTOR of 605, that is 3 does not divide into 605 without remainder.

It is 315.

Related questions

the least number divisible by 1, 2, 3, 4 & 6 is 12.

30 is divisible by, and is the least common multiple of, 2, 3, and 5.

For a number to be divisible by another number it must be at least that number. As 3 is less than 837 it cannot be divisible by 837. However, 3 IS a FACTOR of 837, that is 3 divides into 837 without remainder.

45

The least number divisible by 2, 3, 4, 5, 6, 9, and 10 is 180.

For a number to be divisible by another number it must be at least that number. As 3 is less than 605 it cannot be divisible by 605. Also 3 is not a FACTOR of 605, that is 3 does not divide into 605 without remainder.

6 because it is divisible by 2 and 3.

no it is divisible by at least 11111111222223, 1, and 3

1

It is 315.

No. It is divisible by at least 3, giving the answer 801.

46 is not divisible by 3 - or at least, the quotient of the sum is not a whole number - it would equal 15.3 recurring, or 15.333..