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

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No. As long as there are more than two, the number's composite.

No. If it is divisible by any smaller integer, it is composite.

No. There are techniques to find if it is prime

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

No because, all you have to know is your multiplication to help you.

Yes, you do. And know them well, or else you'll get it wrong! Well, not exactly. To determine that a number is prime you need to know that the number has exactly two factors, which means that there are no other factors. You know that a number is composite by finding just one factor that is neither one nor the number itself.

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.

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A number which has more than two factors is called composite number. 98 is a composite number because it has more than two factors. Factors of 98: 1, 2, 7, 14, 49 and 98. In order to prove that a number is composite try to find a factor other than 1 and the number itself: Since 98 is an even number so it is divisible by 2, so 2 is one of the factors of 98. For now we know three factors of 98: 1, 2 and 98. So, 98 is a composite number since we have found more than two factors.

That '8' at the end reveals it to be an even number. Therefore, '2' is a factor, and the number is composite. There may be more factors, but all we need is one in order to say that it's not prime.

96 is a composite number because it has more than two factors. 96 is divisible by 2, 4, 1, 96 etc. which clearly shows that it has more than two factors.In order to show that a number is composite there is no need to find its all factors, we have to show only that it has more than two factors.

If it is prime, yes. If it is composite, no.

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