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It is possible to predict the number of factors of a given number just from knowing the prime factorization. If you list the p.f. with exponents, add one to each exponent and multiply them, you will have the total number of factors. Sounds complicated. Let's look at some examples.
2 x 3 = 6
(2^1 x 3^1 = 6)
Any number without an exponent actually has the implied exponent 1. Adding one to each and multiplying gives us 2 x 2 = 4
Six has four factors. That's two factor pairs.
2^3 x 3^2 = 72
4 x 3 = 12
72 has 12 factors. 6 factor pairs.
Square numbers are tricky.
3^2 x 3^2 = 81
3 x 3 = 9
81 has 9 factors but 5 factor pairs, since one of the factors (the square root) will be listed twice in a factor pair.
Any time you have an even number of factors, cut it in half for the factor pairs. Any time you have an odd number of factors, add one and cut it in half.
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If you know a factor of a number can you find another factor explain?
Factors come in pairs. If you know one factor, divide it into the number. The answer will be another factor.
How do you know your factor pairs are correct?
Multiply them together.
When a number or expression that is multiplied by another number or expression to get a product?
Idont know factor
How can you write the equation for a linear function if you know only two ordered pairs for the functionDrag tiles to complete the explanation.?
the Equation of a Line Given That You Know Two Points it Passes Through.
How can you determine whether a counting number is a composite number?
Start looking for factors; you already know that 1 is a factor, and that the number itself is a second factor (unless the number is 1). As soon as you find a factor that is neither 1 nor the number itself, the number is composite. If you find exactly two factors, the number is prime. If the number has only one factor, the number is 1, which is neither prime nor composite.
