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How many different quadrilaterals can you make with 2 pairs of parallel sides?
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.
How do you find the gcf of 73 and 127?
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.
How many different pairs of players can be made with one player from each team when there are two teams first team with 6 players second team with 9 players?
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.
What do you notice about the number of factors each of 12 14 20 4 9 and 16?
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.
How many different whole numbers are factors of 100?
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.
