Prime numbers have one factor pair. Composite numbers have two or more pairs.
(6,8) and (4,12) are two different factor pairs for 48.
An infinite number. You can vary the distance between each of the two pairs, and you can rotate one of the pairs relative to the other.
Find the factor pairs of each number. The greatest factor in common is the GCF. A hint, the definition of a prime number is a number with only two factors: 1 and itself.
First player can be any one of 6. For each of them . . .Second player can be any one of 9.Total number of possible different pairs = 6 x 9 = 54 pairs.
12, 14, and 20 have an even number of factors. 4, 9, and 16 also have an even number of factors, but since they're perfect squares, two of the factors are the same number in each case, so each appears to have an odd number of factors.
Producing a list of factor pairs is the easiest way. 1 x 100 2 x 50 4 x 25 5 x 20 10 x 10 As 10 is duplicated then there are 9 different numbers that are factors of 100. If if it just a total number of factors that is required (rather than the values) then this can be obtained by stating the original number in terms of its prime factors. 100 = 22 x 52. Add 1 to each exponent and obtain the product : (2 + 1)(2 + 1) = 3 x 3 = 9 ......which confirms the answer given above.
The Number of factors, (That is the number of pairs, such as 2= 1x2, 2x1), is equal to the number of rectangular arrays which can be made for each composite number. As such, the number of factors in the number 9 is 3, (1,3,9), and the number of rectangular arrays is also three (1x9, 9x1,3x3). Hope this helps!
An infinite number. You can vary the distance between each of the two pairs, and you can rotate one of the pairs relative to the other.
It is common to group factors in pairs with parentheses surrounding each pair.
Each factor pair is an array.
Find the factor pairs of each number. The greatest factor in common is the GCF. A hint, the definition of a prime number is a number with only two factors: 1 and itself.
i am aquadrilateral with 2 pairs of parallel sides. each pair of parallel sides is a different lenght. what am I ?
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.
First player can be any one of 6. For each of them . . .Second player can be any one of 9.Total number of possible different pairs = 6 x 9 = 54 pairs.
To find factor pairs of a number, you divide that number by each integer in turn. If the number divides evenly, you take that divisor, and its answer, as a factor pair. 36 can divide by 1, 2, 3, 4, 6, 9, 12, 18 and 36. Thus the factor pairs are 1 and 36, 2 and 18, 3 and 12, 4 and 9, and 6 and 6.
Distinct prime factors are the prime factors that are distinct (or different) from each other. A list of distinct prime factors is a list of one of each different prime number that is a factor. For example, the prime factors of 8 are 2, 2, and 2. The only distinct prime factor is 2, which occurs multiple times.
12, 14, and 20 have an even number of factors. 4, 9, and 16 also have an even number of factors, but since they're perfect squares, two of the factors are the same number in each case, so each appears to have an odd number of factors.
Its factors are: 1 2 3 4 6 8 12 and 24