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How do you know when you have found all the possible factors for a number?
Wiki User
∙ 13y ago
Let's suppose you've already listed out all the factors you can find for a number, and want to know if that's all of them. To find this, find the prime factorization of the number (should be quite easy when you know all the factors). e.g. 540 = 2^2 * 3^3 * 5. Now you can find the number of factors by a simple formula: since the exponent on 2 is 2, the exponent on 3 is 3, and the exponent on 5 is 1, you calculate (2+1)*(3+1)*(1+1)=3*4*2=24. There are 24 factors, including 1 and 540. So count all the factors you have, and if you have 24, you've found all of them.
To remember that formula, notice that all factors of 540 are of the form 2^x*3^y*5^z with 0≤x≤2, 0≤y≤3, and 0≤z≤1. There are 3 different possible exponents for 2, 4 for 3, and 2 for 5, so the number of ways they can combine is 3*4*2.
Wiki User
∙ 13y ago
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How do you know when you have found the longest possible factor string of a number?
When all of the numbers are prime.
Do you need to know all of the factors of a number to know it is prime or composite?
To know that a number is prime you need to know that it has no factors other than 1 and the number itself.To know that a number is composite you only need to know one factor other than the number itself or 1.
Why do you need to know all of the factors to a number to know if it is a prime or composite number?
You don't.If you know just one factor, other than 1 and the number itself, you will know that the number is composite.A prime has only two factors: 1 and itself. So all the factors is no big deal.
How do you know a number is a composite number?
It has more than two factors.
How do you figure out prime numbers not knowing there factors?
But you do know the factors of prime numbers. Every prime number has two factors: one and the number itself.
How do you know when you have found the longest possible sting factors of a number?
All of the factors are prime.
How do you know when you found the longest possible string of factors for a number?
When each one of them is a prime.
How do you know you found all factors to a number?
How to know that you found all the factors for example my teacher taught me that when u reach a double diget number that is all the factors. ( 6x6)-~ double diget number
How do you know when you've found all the factors of a number?
If you multiply all the prime factors you've found together and the result is the number, you have found all of them.
How do you know when you have found the longest string of factors for a number?
When all the factors are prime.
How do you know when you have found the longest factor string for a number?
All of the factors are prime.
How do you know if a number is abundant or deficiant?
First to be able to find an abundant number you have find all the factors of any number. Then add them all up. If the total is bigger than the number you found out the factors of then it is an abundant number and if the total is less than the number you found out the factors for it is a deficiant number and finally if the total is the same number as the one you found out the factors for it is called a perfect number. Thanks for learning from me. I hope you have understood what i have typed. Bye!
When looking for a factors of a composite number how do you know you have found the right answer?
List them all, and multiply to see if you get the original number.
How do you know when you have found the longest possible factor string of a number?
When all of the numbers are prime.
Do you need to know all of the factors of a number to know it is prime or composite?
To know that a number is prime you need to know that it has no factors other than 1 and the number itself.To know that a number is composite you only need to know one factor other than the number itself or 1.
Why do you need to know all of the factors to a number to know if it is a prime or composite number?
You don't.If you know just one factor, other than 1 and the number itself, you will know that the number is composite.A prime has only two factors: 1 and itself. So all the factors is no big deal.
Do numbers always have more than two factors?
No, an odd number can have any number of factors. There is no limit but you do know that the number 2 is not one of those factors.
