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If you know a number is composite, then you also know that it can be factored into more factors than just 1 and itself. 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.

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Q: Why do you need to know about prime and composite numbers?
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What numbers need to be checked to see if 127 is prime or composite?

Check as many as you want, you won't find any divisors. 127 is prime.


How can you work out prime numbers and composite numbers easily?

AnswerTo test if a number is prime or composite by hand, the easiest thing to do is test if it's divisible by numbers you know to be prime (start with 2, 3, 5, 7, and so on). If none of them divide it, once the numbers you're dividing by get bigger than the square root of the number you're testing (roughly - you don't need to waste time actually calculating the square root), you're done and know it's prime. For example, here's how you'd test if 107 is prime: It's odd, so it's not divisible by 2; It's not divisible by 3 (use the divisibility rule: 1+0+7=8, not 3 or 6 or 9) It's not divisible by 5 (doesn't end in 5 or 0) It's not divisible by 7 (if it were, 107-7=100 would be divisible by 7, which we know isn't true) At this point, we know it's prime, since we'd need to check 11 next. But 11*11=121, bigger than 107, so 11 is greater than the square root of 107. For large numbers, the best thing to do is to use a computer.


What is the largest composite number but less than 200?

Testing the largest whole number less than 200, 199, we find that it is not evenly divisible by 2, 3, 5, 7, 11 or 13. Since the square root of 199 is between 14 and 15, there's no need to test any prime numbers higher than 14. Therefore, the answer is 198, since it is an even number, and all even numbers are composite numbers because they are divisible by 2. A composite number is the opposite of a prime number.


What is prime factor tree for 13?

Prime numbers don't need trees.


How do you determine whether a number is prime or composite?

Negative numbers, zero, and one are neither prime nor composite. See the related questions as to an explanation why. See whether the number is divisible by 2, and by all odd numbers up to the square root of the number. For numbers up to 100, it is enough to check the factors 2, 3, 5, and 7. For higher numbers you need to check more factors. For very large numbers (for example, hundreds of digits), more efficient methods are known, but those methods are also more complicated. Check the related link for a number factoring calculator.

Related questions

Why do you need to know all of the factors of a number in order to determine if its a prime or composite?

Prime numbers have just two factors, 1 and itself. Composite numbers have more than two factors.


Do you need to know all of the factors of a number in order to determine if it prime or composite?

All natural numbers (counting numbers) greater than one are either prime or composite. If divisible by only one and the number itself, it is prime; if divisible by other natural numbers, then is composite. One is the only natural number that is neither prime nor composite.


Do prime numbers have to be odd and composite numbers have to be even?

No. All prime numbers except for the number 2 are odd. However, most odd numbers are composite numbers. All even numbers greater than 2 are composite numbers. So, prime numbers do not need to be odd, since one prime number is even. Also, composite numbers do not need to be even.Here are some composite odd numbers:9 = 3 x 333 = 3 x 1175 = 5 x 15


Is 2 composite numbers are always relatively prime?

No, they need not be.


Why do you need composite numbers?

So the prime numbers don't bump into each other.


Which is true about 143 It is a prime number It is a composite number It is a whole number that is neither prime nor composite or It is not a whole number?

We know that 143 is a whole number and that it has to be either prime or composite because all whole numbers other than 0 and 1 are one or the other. So, in order to determine if it is prime or composite, we need to know if any numbers besides 1 and 143 are factors. 1, 11, 13, and 143 are factors so 143 is a composite number.


What is the gcf of 52 and is it prime or composite?

52 is composite. You need at least two numbers to find a GCF.


Why do you only need the common prime factors when finding the greatest common factor?

All numbers (except 0 and 1) are either prime or composite. All composite numbers can be expressed as the product of prime factors. So the GCF will either be a single prime number or a combination of prime numbers. Of course, if there are no common prime numbers, the GCF is 1.


How do you find the LCM of a composite number?

You need at least two numbers to find an LCM. It doesn't matter whether they are prime or composite.


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.


How do you do prime and composite numbers?

to find a prime number, you need to find the factors for the numbers. once you have found the factors, you can determine which are prime. if the number only has 2 factors,1 and itself, it is prime. all other numbers are composite, except for 1. 1 is special. 1 only has one factor, 1.


Do you need to know all the factors of a number in order to determine if it is a prime or composite?

No. There are techniques to find if it is prime