Introduction to Three-Digit Numbers Divisible by 3
Ah, the world of numbers can be quite fascinating, don’t you think? It’s like a giant playground where digits play hide and seek with divisibility rules! Imagine each number eagerly raising its hand saying, “Pick me! I’m divisible by 3!”
Let’s dive into the realm of three-digit numbers that are divisible by 3. As we journey through this numerical wonderland, let me guide you through the curious world of divisibility.
Do you know that among the three-digit natural numbers starting from 100 and ending at 999, there are some mathemagical gems that hold a secret affinity for the number 3? The first three-digit number friendly with 3 is 102. And guess what? The last one dancing to the tune of division by 3 is none other than our friend, 999!
Now, crunching some numbers here—out of this numerical bunch from 102 to 999 inclusive, how many do you think are divisible by our buddy ‘3’? Let’s see… it adds up to a grand total of… drumroll please… ‘300’ delightful numbers!
But hey, Divisibility isn’t just about threes having all the fun! If you want to explore how other numbers like two or even seven play this ‘divisibility game,’ keep on reading. Get ready for some more numerical adventures ahead! So hold onto your calculators and let’s unravel more about these intriguingly divisible digits. Who knows what mathematical marvels we might discover next!
How to Determine if a Three-Digit Number is Divisible by 3
To determine if a three-digit number is divisible by 3, you can use a simple trick involving the sum of its digits. For instance, let’s take the three-digit number 303. By adding up the digits (3 + 0 + 3), we get 6. If this sum is divisible by 3, then the entire number is also divisible by 3. In this case, since 6 is divisible by 3, we can conclude that 303 is indeed divisible by its numerical bestie – 3! Easy peasy lemon squeezy!
Now, let’s break it down step-by-step for you. When examining a three-digit number like our friend 303, remember that to be divisible by 3, the sum of its individual digits must also be divisible by our dear pal ‘three.’ So, in this case: (3 +0+3) =6. Since six can be evenly divided by our numerically charming friend ‘three,’ we can safely say that our number is indeed easily divisible.
It’s like giving each digit at this numerical party a ticket to enter into the club of divisibility! And if their total sum holds the magic key to entrance through ‘Divisibility Lane,’ well then welcome aboard 303 and party on with division joy!
Remember, divisibility rules are like secret codes in the world of numbers – once you crack them, you’ll breeze through determining if a number like your favorite trio-digited buddy here follows these cool math rules or not. So keep exploring these playful tricks and watch how numbers unveil their hidden dance moves when it comes to divisibility fun!
How many three digit numbers are there divisible by 3?
There are 300 three-digit numbers that are divisible by 3.
Is a number divisible by 3?
A number is divisible by 3 if the sum of its digits is divisible by 3.
What is the smallest 3 digit number that is divisible by 3?
The smallest three-digit number divisible by 3 is 102.
How many 3 digit numbers are there divisible by 7?
There are 128 three-digit numbers that are divisible by 7.