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But if a number is divisible only by itself and by 1, then it is prime. So, because all the other even numbers are divisible by themselves, by 1, and by 2, they are all composite (just as all the positive multiples of 3, except 3, itself, are composite).

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Q: Are there any prime number divisible by 3?
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What number is both a prime number and a multiple of 3?

No number that is a multiple of 3, can be a prime number. A prime number must only be divisible by itself and 1. It cannot be divisible by any other number. Therefore if it is a multiple of 3, then it must be divisible by 3 and hence, not a prime number.


Is the number 33333 a prime number?

No, the number 33333 is not a prime number. It is divisible by 3 and 11111.


What is the number that is divisible by 10 and 3 but not 5?

Three is a prime number and isn't divisible by any whole number * * * * * True, but irrelevant to the question. Any number that is divisible by 10 MUST be divisible by 5. Therefore there are no such numbers.


Is 45 a prime or compostie number?

The number 45 is not a prime. It can be divided by 3 and 5. The number 5 is prime, and any number ending in 5 is divisible by 5 and will not be prime for that reason.


Are all numbers divisible by 3 and 4 divisible by 6?

Yes. If a number is evenly divisible by both 3 and 4, it will also be divisible by 6.This is because the prime factor of 3 is [3] -- in other words, 3 is a prime number -- and the prime factors of 4 are [2, 2].Thus, any number that is divisible by 3 and 4 will have as part of its prime factors the set [2, 2, 3]. (The smallest such number is 12, which is 2 x 2 x 3.) Since the prime factors of 6 are [2, 3] -- and [2, 3] is a subset of [2, 2, 3] -- then any such number must also be divisible by 6.Another way to look at it is to note that all numbers which are divisible by both 3 and 4 are also divisible by 12 (which is 3 x 4). Since 12 is divisible by 6, then all multiples of 12 will also be divisible by 6.

Related questions

What number is both a prime number and a multiple of 3?

No number that is a multiple of 3, can be a prime number. A prime number must only be divisible by itself and 1. It cannot be divisible by any other number. Therefore if it is a multiple of 3, then it must be divisible by 3 and hence, not a prime number.


Is 21 a prime number?

A prime number is any integer evenly divisible by only itself, and the number 1. Since 21 is divisible by 3 and 7, it is a composite number, not a prime number.No, 21 is not a prime number.21 is divisible by 1, 3, 7, & 21No. 21=3*7


Is the number 33333 a prime number?

No, the number 33333 is not a prime number. It is divisible by 3 and 11111.


Which is a prime number 10 3 4?

3 <><><> 3 is only divisible by 1 and itself. whereas 4 and 10 are divisible by other numbers. 4 is divisible by 1,2,4. 10 is divisible by 1,2,5,10 <><><> A prime number is a number that is evenly divisible only by itself and one. Therefore, 3 is the prime number. 4 is divisible by 1, 2, and 4. 10 is divisible by 1, 2, 5, and 10. Three cannot be divided evenly by any other whole number. So, 3 is the prime number.


How do you know that there are not more than two consecutive prime numbers?

Because any number divisible by 2 is not a prime number, so any even no. is divisible by 2. Thus any number higher than 3 will be divisible by 2. Therefore the only consecutive prime nos. are 1, 2 and 3


Is 5193 a prime number?

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


What is 12570 divisible by?

It is divisible by any real number. It is divisible evenly by 2, 3, 5 and 419, all prime.


Set all Prime numbers divisible by 3?

There is only one prime number divisible by 3 and it is 3 itself which is a prime number.


What is the number that is divisible by 10 and 3 but not 5?

Three is a prime number and isn't divisible by any whole number * * * * * True, but irrelevant to the question. Any number that is divisible by 10 MUST be divisible by 5. Therefore there are no such numbers.


Is 345456543 a prime number?

No, this number is divisible by 3 and hence is not a prime number. You can tell that fast by adding the individual digits. If that sum is itself divisible by 3, as this one is, then the number itself is divisible by 3.


Is 1851 a prime number?

No, 1851 is not a prime number as it is divisible by 3.


Is 45 a prime or compostie number?

The number 45 is not a prime. It can be divided by 3 and 5. The number 5 is prime, and any number ending in 5 is divisible by 5 and will not be prime for that reason.