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This is similiar to another answer i gave, in this case i will use the example of the number 999.
A good way to find the prime factors of a number are to divide it by consecutively bigger prime numbers until the number left is one or a Prime number.
I will demonstrate how to do that:
999 cannot be divided by two, so i will move on two the next biggest prime number, 3.
999/3=333
still can be divided by three, repeat until you get the number 1 or a prime number
333/3=111
111/3=37
37 is a prime number
Therefore, 999=(3^3)*37
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How do you find the number of its given factors?
You multiply the factors together. if the factors are 6 and 7 or 2,3 and 7, then the number is 6x7=2x3x7=42
How do you find the primeFactors of a given number?
By dividing it by the prime factors that have no remainders
One of two factors of a given number?
If the given number has two factors, one of them is 1.
How can divisibility rules help you find the prime factorization of a number?
they can help you by finding the two factors of the number given
To find weather the given no is prime or not?
Prime numbers have two and only two factors. If the number has more than two factors, it is not prime.
How do you know a number if its factors are given?
There are two ways in which the factors can be given. You are given all the prime factors (and their multiplicity). In that case simply multiply them all together. Or You are given each factor. In this case, the biggest of these is the number.
Is the number of factors of a given number is limited?
Yes.
How many distinct strings of factors are there for a given number?
It varies with each given number.
How is prime factorization different from finding factors of a number?
All numbers have factors. Some factors are prime numbers, some are composite numbers, one is neither. When finding the factors of a number, you find all the factors. The prime factorization is a multiplication string of just prime factors that will total the given number.
Why is 836475 not a prime number?
A number which is divisible by itself and 1 is called prime number. A prime number has only two factors.But, 836475 is also divisible by5, i.e. 836475 has more than two factors.Therefore, the given number is not prime.In order to show that given number is not prime there is no need to find all the factors, we should show that given number has more than two factors.
What is factors that appear in a complete list of factors for a given number only once?
distinct factors
Why is 87 not a prime number?
Sum of the digits of 87 = 8+7 =15(a multiple of 3) which means that 87 is divisible by 3. Therefore, 87 is not a prime number as it has more than two factors which are 1, 87, 3 etc. In order to prove that a given number is prime we shall show that the given number has more than two factors. There is no need to find all the factors.
