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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.
What else can I help you with?
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.
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.
Find 2 pairs of numbers with the given number as their LCM?
This will be difficult to answer accurately if we don't know the given number, so we'll make one up. 36. Two pairs of numbers with an LCM of 36 are 4,9 and 12,18.
How do you know your factor pairs are correct?
Multiply them together.
You are thinking of a number you know that to be sure you find all of the factor pairs of this number you have to check all the numbers 1 through 15?
You are thinking of 225.
How do you know a number if its factors are given?
There are two ways in which the factors can be given. You are given all the prime factors (and their multiplicity). In that case simply multiply them all together. Or You are given each factor. In this case, the biggest of these is the number.
What conversion factor would you use to convert between these pairs of units?
To answer that accurately, we will need to know the pairs of units.
What factor is missing for 45 if you already know 1and 45 are pairs and 5and 9 are pairs?
3 and 15
How can finding factor pairs help with finding all of the factors number?
If you know the prime factorization of a number, you can find out the total number of factors. Example: 210 2^1 x 3^1 x 5^1 x 7^1 = 210 Add one to the exponents and multiply them. 2 x 2 x 2 x 2 = 16, the total number of factors.
What number is always a factor of a given product?
PLS I DONT KNIW ONLY KNOW NOTHING /saysidontknowwhattodo***
What are all the factor pairs of 201?
Apart from [1,201], [3,67] is the only other factor pair. Since both 3 and 67 are prime numbers, you know you won't be able to find any more factor pairs.
How solve factorization?
All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this. Example: 210 210 Divide by two. 105,2 Divide by three. 35,3,2 Divide by five. 7,5,3,2 Stop. All the factors are prime. 2 x 3 x 5 x 7 = 210 That's the prime factorization of 210.
What does it means to use the divisibility rules to find factor pairs for eighty?
Factors are divisors. If you know the divisibility rules, you know that 80 is divisible by 1, 2, 4, 5 and 8. If you divide 80 by those numbers, you find the other half of the factor pairs.
