the set of whole numbers less than 0
A prime number has only 2 factors which are 1 and itself. Composite numbers are everything else except 1 and 0. 1 and 0 are neither prime, nor composite.
There is only one prime number which is even and that is 2 and prime number rule applies for only positive numbers. so we have 2000 and u can arrange 2000 in 4! ways but digit there are 3 '0's so the answer is 4!/3! and there 4 such numbers less than 10000 which ad upto 2.
As N approaches infinity the ratio of squares less than N to numbers with 4 factors less than N approaches 0. This means that in the customary way of defining it, the ratio you're interested in is 0 (although that should be taken with a grain of salt - it certainly doesn't mean that there are 0 square numbers). The number of squares less than N is approximately √N. Rather than calculating the ratio we're interested in, we're going to calculate a calculate a ratio guaranteed to be greater: the ratio of squares to numbers that are twice a prime number (which are some, but not all, of the numbers with 4 factors). There are approximately N/ln N prime numbers less than N, by the prime number theorem. So there are N/(2 ln N/2) prime numbers less than N/2, which can be doubled to get a number less than N that's twice a prime number. The ratio is therefore √N(2 ln N/2)/N, which is O(ln N/√N). √N grows much faster than ln N, and in the limit this ratio will get close to zero. So the ratio we're actually interested in, which is even less than this ratio, will also approach zero.
88 is a composite number because it is an even number. All numbers greater than 8 and less than 100 are composites if they are even numbers, if they are multiples of 3 or 7, or if they end in 5 or 0.
The ones digit in the product from multiplying the 305 prime numbers less than 2012 is 0 because the ones digit becomes 0 after 2 and 5 have been multiplied and remains unchanged after more prime numbers are multiplied.
Any number squared except 0 is a perfect square so it follows that prime numbers are less common than perfect squares.
All of the numbers less than 100 (except for -1, 0 and 1) have prime factors. I suspect you left some qualifying information out of your question.
the set of whole numbers less than 0
No. The whole numbers are {0, 1, 2, 3, ...}. There are none less than 0.
A prime number has only 2 factors which are 1 and itself. Composite numbers are everything else except 1 and 0. 1 and 0 are neither prime, nor composite.
There is no formula that will generate all the prime numbers less than or equal to 500. Perhaps the "next best thing" is that there are some formulas that will generate prime numbers for certain values that are plugged in to the formula, but not necessarily all the prime numbers. For example, the formula n2 - n + 41 will generate prime numbers for all values of n from 0 to 40, but not for all values greater than or equal to 41. But even for values of n that are less than or equal to 40, while the formula will result in a prime number, it doesn't generate all the prime numbers. The first few prime numbers generated by this formula (for n = 0, 1, 2, 3, 4, and 5) are 41, 41, 43, 47, 53, and 61. But many prime numbers get "skipped over" by using this, or any other, formula.
1. 0 because it has to be a divisible by 5 also it has to be divisible by 2.
There is only one prime number which is even and that is 2 and prime number rule applies for only positive numbers. so we have 2000 and u can arrange 2000 in 4! ways but digit there are 3 '0's so the answer is 4!/3! and there 4 such numbers less than 10000 which ad upto 2.
Prime numbers have two factors, composite numbers have more than two.
Prime numbers have two factors, composite numbers have more than two.
4 numbers less than 0