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If told that 'q' 'p' and 'r' are distinct primes and that there exists 'n' such that 'n equals p x q x r' How many positive factors of 'n' are there and How do you determine what they are?
Wiki User
∙ 14y ago
If p, q and r are distinct primes and n=pxqxr then n will have 8 factors, all of which will be positive since prime numbers are all positive, which are: n(pqr), pq, pr, qr, p, q, r and 1. Here there were 3 distinct primes so the number of positive factors is 2^3. In general if you had p distinct primes then you would have 2^p positive factors.
Wiki User
∙ 14y ago
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Do perfect squares have an even or odd set of prime factors?
FactorsPerfect squares have an odd number of factors. If you think of factor pairs, the pair of factor that when multiplied together equals the given number, you realize that there are two factors for each pair until you come to the factor that when squared equals the number. For example, the factor pairs of 16 are 1 x 16, 2 x 8, and 4 x 4, giving us the factors of 1, 2, 4, 8, and 16 - an odd number of factors.Prime FactorsHowever, the situation is different with prime factors. It will depend on whether you list every prime factor or only the distinct prime factors. There will always be an even number of prime factors because when you square a number, you double the prime factors, which means you have an even number. That is not the case for distinct prime factors, because when you square a number, you are not adding any additional distinct factors. So, in some cases, there will be an even number of distinct prime factors and sometimes an odd number. Some examples follow.4 = 2 x 2. There are two prime factors, but one distinct prime factor.36 = 2 x 2 x 3 x 3. There are four prime factors and two distinct prime factors.900 = 2 x 2 x 3 x 3 x 5 x 5. There are six prime factors and three distinct prime factors.
What does a positive 3 minus a negative 4 equals?
It equals positive seven.
Is a negative divided by a negative the same as a positive times a positive?
Well a negative times a negative equals a positive while as a positive times a positive equals a positive.
Is a positive plus a positive equal a negative?
No, it equals a positive. (+)+(+)=(+)
What times what equals 319?
Other than itself and 1, the only pair of positive integer factors of 319 are 11 x 29.
When you are finding the product of multiple numbers how can determine if the product will be positive or negative?
A positive times a positive equals a positive, a negative times a negative equals a positive, a negative times a positive equals a negative(vice versa for the last one)
Determine the range of y equals tan 2 x?
-infinity to positive infinity
Negative times a positive equals?
positive times negative equals negative. positive times positive equals positive. negative times negative equals positive
What are the negative and positive rules in math?
A negative times a negative equals a positive A negative times a positive equals a negative A positive times a positive equals a positive
Positive plus a positive equals?
a positive
Do perfect squares have an even or odd set of prime factors?
FactorsPerfect squares have an odd number of factors. If you think of factor pairs, the pair of factor that when multiplied together equals the given number, you realize that there are two factors for each pair until you come to the factor that when squared equals the number. For example, the factor pairs of 16 are 1 x 16, 2 x 8, and 4 x 4, giving us the factors of 1, 2, 4, 8, and 16 - an odd number of factors.Prime FactorsHowever, the situation is different with prime factors. It will depend on whether you list every prime factor or only the distinct prime factors. There will always be an even number of prime factors because when you square a number, you double the prime factors, which means you have an even number. That is not the case for distinct prime factors, because when you square a number, you are not adding any additional distinct factors. So, in some cases, there will be an even number of distinct prime factors and sometimes an odd number. Some examples follow.4 = 2 x 2. There are two prime factors, but one distinct prime factor.36 = 2 x 2 x 3 x 3. There are four prime factors and two distinct prime factors.900 = 2 x 2 x 3 x 3 x 5 x 5. There are six prime factors and three distinct prime factors.
Explain in your own words how we add numbers with different signs?
Positive plus positive equals positive. Negative plus negative equals negative. Positive greater than negative equals positive. Negative greater than positive equals negative.
What does a positive 3 minus a negative 4 equals?
It equals positive seven.
Is a negative divided by a negative the same as a positive times a positive?
Well a negative times a negative equals a positive while as a positive times a positive equals a positive.
Positive times a negitive?
A negative times a negative equals a positive
What is tha sum of two positive numbersTwo negative?
positive plus positive equals positive negative plus negative equals negative
What are the positive integers for which a plus b plus c plus d equals 20 and abcd equals 81?
If a, b, c, and d are positive integers that add up to 20 they each must be less than 20. If abcd=81 then a, b, c, and d must be factors of 81. The factors of 81 are 1,3,9 then 27, so there is no solution to this problem.
