Hey, could I have some help for this? Thanks!
Describe a rule for deciding if a number is divisible by three. Consider numbers above 1000 as well.
~Slappy~
you can add all the numbers together, all the digits, and if it is a multiple of three, it is divisible by three.
12336 - 1+2+3+3+6 = 15
yes, it's divisible.
Of course, I'm happy to help!
When determining if a number is divisible by three, you can use the rule of divisibility for three. Here's how you can apply this rule:
1. Start by adding up all the digits of the number.
2. If the sum of the digits is divisible by three, then the original number is also divisible by three.
To clarify, let me provide an example:
Let's say we have the number 123456. To determine if this number is divisible by three, we add up its digits:
1 + 2 + 3 + 4 + 5 + 6 = 21
Now, check if this sum, 21, is divisible by three. Indeed, it is divisible by 3 because 21 ÷ 3 = 7, which has no remainder. Therefore, the original number, 123456, is also divisible by three.
Now, let's consider numbers above 1000. If you have a number greater than 1000, you can apply the same rule of divisibility. Simply add up all the digits, including the thousands digit.
For example, if we have the number 2357, we add up its digits:
2 + 3 + 5 + 7 = 17
Now, check if this sum, 17, is divisible by three. In this case, 17 is not divisible by 3 since 17 ÷ 3 equals 5 with a remainder of 2. Therefore, the number 2357 is not divisible by three.
Remember, this rule of divisibility for three applies to all numbers, including those above 1000.