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30, which is the smallest positive integer divisible by the first three primes: 2, 3 and 5.

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โˆ™ 2009-09-13 11:57:30
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Q: What is the least positive number that is divisible by three different primes?
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Is there a number from 1 to 100 that is divisible by four different primes?

no the smallest number that is divisible by four different primes would be 210


What is the least positive number divisible by two primes?

6 because it is divisible by 2 and 3.


Is 210 the lowest number divisible by 4 different primes?

Yes.


What number has exactly 3 prime different factors one which is 5 and is divisible by 11 the first digit is a square number the last two digits are different primes numbers?

935


Is 52563744 divisible by 24?

Sol: 24 = 3 x 8, where 3 and 8 are co-primes. The sum of the digits in the given number is 36, which is divisible by 3. So, the given number is divisible by 3. The number formed by the last 3 digits of the given number is 744, which is divisible by 8. So, the given number is divisible by 8. Thus, the given number is divisible by both 3 and 8, where 3 and 8 are co-primes. So, it is divisible by 3 x 8, i.e., 24.


How many positive integers less than 2101 are divisible by atleast one of the primes?

Except for 1, all of them.


Can you find a number less than 200 that is divisible by 4 primes?

No. The smallest 4 primes are 2, 3, 5 and 7 and their product is 210.


What is the least number that has three different prime factors?

If by "least number" you mean "smallest positive integer", then the answer is the product of the three smallest primes: 2x3x5 = 30


Is 1250 a prime number?

No, it is not a prime number, it is divisible by 2, 625, 5, 250, 10, 125, and probabaly more than that. Primes are only divisible by 1 and itself.


How many primes less than 1000 are divisible by 7?

Just 7. Any other number divisible by 7 isn't prime.


Is there a number less than 200 that is divisible by four different prime numbers?

No. The 4 smallest primes are 2 3 5 7. Multiplying these gives 210. Note that 1 is not regarded as a prime no. If it were to be then no other number could be prime for all of them are divisible by 1.


Is 43.2 a prime number?

Only integers (whole numbers) can be primes. A prime is a number that is only divisible by 1 and itself. 43.2 and all other decimal numbers are not divisible by 1.


Find smallest positive divisor of an integers other then 1?

There is no such number. If you restrict yourself to integers, there are numbers - such as primes, that are not divisible by an integer other than one. And if you do not restrict yourself to intgers, then there is no smallest number sincce given any number, half that number will be smaller and will be a divisor.


Why the even numbers between 20 and 30 cant be primes?

Every even number is evenly divisible by 2.


What is the smallest composite number that is divisible by none of the primes 2 3 5 and 7?

It is 11*13 = 143


The largest integer that is not the product of two or more different primes?

The largest integer that is not the product of two or more different primes would be the largest prime number. Because there are an infinite number of prime numbers, there is no largest integer that is not the product of two or more different primes.


What numbers are divisible by four prime numbers?

2 * 3 * 5 * 7 = 210 is the smallest one divisible by four unique prime numbers. However, there are an infinite number of them, since there are an infinite number of primes.


What is the greatest 8 digit even prime number?

There is none. The only even prime number (even meaning divisible by two, and primes being numbers divisible only by the integers 1 and themselves) is 2.


Is 51 and 53 twin primes?

No - 51 is divisible by 3.


What is the smallest number of the product of 2 different primes that are squared?

36.


What is the least number that is the product of two different primes that are cubed?

216


Are there more primes or composites?

In any large range of numbers, more so the higher and larger the range is, there will be more composites than primes. It is far more likely that a given number will be divisible by some number less than the number itself, the higher you go.


What is the smallest three digit number that is divisible by three primes?

100 is divisible by 1, 2, and 5. 1 is not itself a prime number; 101 is a prime; 102/2 =51 102/3 =34 102/17=6


What is the smallest natural number that has three prime numbers in its factorization?

8 has three primes (2x2x2) in its factorization, and 30 is the smallest number having three different primes (2x3x5) in its factorization.


Is there an infinite number of prime number?

Yes. To prove this, we must first assume the answer to be no. If there are a finite number of primes, there must be a largest prime. We'll call this prime number n. n! is n*(n-1)*(n-2)*...*3*2*1. n!, therefore, is divisible by all numbers smaller than or equal to n. It follows, then that n!+1 is divisible by none of them, except for 1. There are two possibilities: n!+1 is divisible by prime numbers between n and n!, or it is itself prime. Either way, we have proved that there are prime numbers greater than n, contradicting our initial assumption that primes are finite, proving that the number of primes is infinite.