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Prime Numbers
A prime number is a number that has exactly two factors: 1 and itself. All whole numbers greater than 1 are either prime numbers or can be written as the product of prime numbers. There are an infinite number of prime numbers, but they occur less frequently among larger numbers. Prime numbers are important in cryptography and number theory.
30,833 Questions
What is a prime factorization and how do you find it?
All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this.
Example: 210
210 Divide by two.
105,2 Divide by three.
35,3,2 Divide by five.
7,5,3,2 Stop. All the factors are prime.
2 x 3 x 5 x 7 = 210
That's the prime factorization of 210.
What number can be divided by 7 8 and 9 with fractional left 1 2 and 3?
498 + k*504 where k is an integer.
What is the answer to 8 page 57 on Prime Time Factors multiplies?
I'm missing page 57. Perhaps you could write out the problem for me.
What are the prime numbers less than 100 that can be written as a sum of two squars?
The primes less than 100 that can be represented as a sum of two squares are
2,5,13,17,29,37,41,53,61,73,89,97. And here is the actual sums I used to get those primes.
1+1 = 2
4+1 = 5
4+9 = 13
16+1 = 17
4+25 = 29
36+1 = 37
16+25 = 41
49+4 = 53
36+25 = 61
64 +9 = 73
64+25 = 89
81+16 = 97
Which no between 29 and 30has three different prime factor what is prime factorization?
Not a lot of room between 29 and 30.
Prime factorization is the expression of a positive composite integer as the product of its prime factors.
30 has three prime factors.
2 x 3 x 5 is the prime factorization of 30.
A prime number (or a prime) is a natural number that has exactly two distinct natural number divisors: 1 and itself.
How do you calculate an average-of-all-even-numbers-between-1-and-100?
The average of the smallest and the largest even numbers (2 and 98) is 50
The average of the next smallest and the next largest (4 and 96) is 50
The average of the next smallest and the next largest (6 and 94) is 50
and so on.
So, the overall average is 50.
What is the number that will get the same number as the triple number of 24 if you doub le it?
It is 36 because 3*24 = 36*2 which is 72 = 72
What are the numbers that two numbers have a product that is more than 25?
There are infinitely many such numbers.
Select any positive number, N.
Let M > 25/N.
Then N*M > N*(25/N) = 25.
If N is negative then M < -25/abs(N) gives the same result.
Thus for each and every N (other than N = 0) there are infinitely many values of M that will meet the requirements.
How do you determine if 1041 is a prime number?
Since its digits add up to a multiple of three, it's divisible by three. That means it's not prime.
Is 899 a prime or composite number?
899 is a composite number. 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.
Is it possible to find the prime factorization of a negative number?
No. Any factor string of a negative number would have to include at least one negative number and there aren't any negative prime numbers.
