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

Updated: 9/20/2023

Wiki User

13y ago

1

Viva Schroeder

Lvl 10
3y ago

Wiki User

13y ago

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.