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Factors come in pairs. If you know one factor, divide it into the number. The answer will be another factor.
A square number has an odd number of factors, but a number with an odd number of factor pairs is nothing special.
False. Just because a number has 2 and 4 as factors does not necessarily mean it has 8 as a factor. For a number to have 8 as a factor, it must have both 2 and 4 as factors, but it could also have additional factors that are not necessarily present in numbers with only 2 and 4 as factors. In other words, having 2 and 4 as factors is a necessary but not sufficient condition for a number to have 8 as a factor.
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.
A way to show factor pairs in a list of all the factors of a number. A factor rainbow can be used to check whether a list of factors is correct.
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A factor is one of two or more numerical or algebraic components of a product. **Note : 1.To factor a counting number means to break it down into its prime number factors. 2.To factor a polynomial is to find its prime polynomial factors, a basic procedure for solving algebraic equations.
if a is number of tiles high and b is tiles wide then, (x+a) = height and (x+b) = width so the polynomial is (x+a)(x+b).
Anywhere. Provided it is not zero, and number p can be the leading coefficient of a polynomial. And any number q can be the constant term.
It is not possible to give a sensible answer to this question. The greatest common factor (GCF) refers to a factor that is COMMON to two or more numbers or polynomials. If you have only one number or polynomial there is nothing for it to have a factor in common with!
Because 3 is a factor of 9. Any number that has a composite number as a factor will also have that number's factors as factors.
No.A polynomial is not a number. Do you mean can every number be represented by a polynomial?If so, the answer is still no.
Because 4 is a factor of 8. Any number that has 8 as a factor will also have 8's factors as factors.
The number 1 or a factor.
In the context of primes and factoriation, every counting number is a factor.
Any number with 11 in it is a factor: it is a factor of double the number, for example.