PRIME AND COMPOSITE NUMBERS for Kids ???? What are Prime Numbers? ???? MATH for Kids

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Hello friends! Today on my Space Math Channel, we’re going to learn about prime numbers and composite numbers.

Let’s start with prime numbers. Prime numbers are whole numbers that can only be divided by one and themselves. This means they have exactly two divisors. In other words, we get an exact division when we divide a prime number by itself or by the number one. Remember, a number is divisible by another only if we get an exact division, which means the remainder is zero.

Let’s try this with the number five. If we divide 5 by 1, we get 5. Now, if we divide 5 by 5, we get 1. But can we divide the number five by a different number and get an exact division? No! This is why the number five is a prime number; it only has two divisors: one and itself.

Now, let’s check if the number 11 is a prime number. First, let’s find the divisors of 11. If we divide 11 by 2, we get 5 with a remainder of 1. This is not an exact division, so the number 11 does not have 2 as a divisor. Now we need to check if we get an exact division when we divide 11 by all the possible numbers up to 10.

So, 11 is a prime number because its only divisors are one and itself. Here is a table with the first few prime numbers.

Now, let’s look at composite numbers. Unlike prime numbers, composite numbers have more than two divisors. Let’s check this definition using the number four as an example. If we divide the number four by one, we get four with a remainder of 0. Now let’s divide the number four by four; we get one with a remainder of zero. So we have two divisors, but does the number four have more divisors?

Let’s try dividing 4 by 2. Here we get two with a remainder of 0, which is an exact division. So the number two is also a divisor of four. We can see that the number four has one, two, and four as its divisors. For this reason, it is a composite number since it has more than two divisors.

We can determine if a number is prime by dividing it by smaller prime numbers. It’s prime if the result isn’t an exact division or if there is a remainder. We should check this by dividing the number by prime numbers smaller than it until we get a quotient that is less than the divisor.

When checking if a larger number is prime or not, it helps to know the divisibility criteria. Perhaps you can review them after watching this video.

Now it’s your turn! Let’s see if you have understood everything correctly. Is the number 17 a prime number or a composite number? Correct! It is a prime number. The number 17 has only two divisors: itself and one. When we divide it by smaller prime numbers, we do not get zero as a remainder in any of them.

Perfect! Let’s move on to the next task. Is the number nine a prime number or a composite number? Very good! The number nine is a composite number because it has more than two divisors. Let’s see what they are: the number one, the number three, and the number nine.

Before I go, I want to share two interesting facts, although some of you may already know them. First, the number one is not a prime number since it only has one divisor: itself. Second, the number two is the only even prime number. Interesting, right?

Finally, I want to remind you of one last rule. As we can see in these examples, every whole number has the number one and itself as divisors, although they can have more if they are composite numbers. It is important to remember this rule when looking for the divisors of a number because sometimes we forget about these two divisors.

That’s all for today! I hope you enjoyed this video. Don’t forget to like and subscribe to my channel. See you soon, friends!

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