Math and Arithmetic

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

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Simple Method:

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

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.

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Related Questions

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

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.

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

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.

Converse:If a number is divisible by 3, then every number of a digit is divisible by three. Inverse: If every digit of a number is not divisible by 3 then the number is not divisible by 3? Contrapositive:If a number is not divisible by 3, then every number of a digit is not divisible by three.

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

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

There is no such number. Since 6 is divisible by 3, then any number that is divisible by 6 automatically has to be divisible by 3.

A number is divisible by 3 if the sum of its digits is divisible by 3.

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..

No, it is divisible by 3.No, it is divisible by 3.No, it is divisible by 3.No, it is divisible by 3.

If the sum of the digits of a number is divisible by 3 ,then the number is divisible by 3.. is 36 is right

Since the sum of the digits is divisible by 3, the original number is also divisible by 3.Since the sum of the digits is divisible by 3, the original number is also divisible by 3.Since the sum of the digits is divisible by 3, the original number is also divisible by 3.Since the sum of the digits is divisible by 3, the original number is also divisible by 3.

If a number is not divisible by 3 then it is not divisible by 9.

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If the sum of the individual digits in the number is divisible by 3, then the whole number is divisible by 3. Weird, but convenient.

A number that is divisible by 15 is divisible both by 5 and 3 A number is divisible by 5 if it ends with 0 or 5 A number is divisible by 3 if the sum of its digits is divisible by 3 e.g. 4035 is divisible by 15 as it ends with a 5 and 4+0+3+5=12 which is divisible by 3

Yes, every number that's divisible by 9 is divisible by 3

No divisible by 3 (3179) at least...could be others but as soon as it is found to be divisible by one numbers, all the rest is irrelevant, it is not a prime number.

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