Factors
What are all the factors of 63?
1, 3, 7, 9, 21, 63
What are the first five multiples of 42? (include 42 x 1)
42, 84, 126, 168, 210
What is the prime factorization of 96 expressed in exponential notation?
96 = 25 x 3
Solve for the square root of 100 using prime factorization.
sqrt(2^2 * 5^2) = 2 * 5 = 10
What is the greatest common factor for 98 and 112?
GCF = 2 x 7 = 14
What is the least common multiple for 105 and 150?
LCM = 5 x 3 x 7 x 2 x 5 = 1,050
Find the prime factorization of the following expressed in exponential notation:
12 x 14 x 21
23 x 32 x 72
Solve for the square root of 324 using prime factorization.
sqrt(2^2 * 3^2 * 3^2) = 2 * 3 * 3 = 18
What is the greatest common factor for 245 and 392?
GCF = 7 x 7 = 49
Find the LCM for the following group of numbers:
225, 245, 280
LCM = 23 x 32 x 52 x 72 = 88,200
What is the prime factorization of 675 expressed in exponential notation?
675 = 33 x 52
Solve for the cube root of 4,096 using prime factorization.
cubert(2^3 * 2^3 * 2^3 * 2^3) = 2 * 2 * 2 * 2 = 16
The length, width, and height of an open rectangular container are 90cm, 45cm, and 30cm respectively. Suppose identical cubes are placed within the container such that they fill up the container completely. Calculate, in cm, the greatest possible length of each cube.
greatest possible length = 15cm
What is the LCM of 27, 99, and 135 in prime factorization form also in exponential notation?
33 x 5 x 11
What is the prime factorization of 324 not in exponential notation?
2 x 2 x 3 x 3 x 3 x 3
What number am I? Take away a letter and I become even.
seven
A company planned to donate 640 packs of cookies, 320 bottles of mineral water, and 800 granola bars to a senior center. Suppose that the maximum number of packs of cookies, bottles of mineral water, and cash are to be placed equally in gift bags before donation, find the amount of gift bags needed.
160 gift bags are needed
Suppose trains on each of three separate lines (North-South, East-West, and North-East) leave together at 2:30pm, which falls between the non-peak period from 2pm to 5pm. Suppose also that the trains on the North-South, East-West, and North-East leave regularly at 5-minute, 6-minute, and 8-minute intervals respectively during the non-peak period. How long, in hours, will it take for the trains on all three lines to leave together again?
2 hours (120 minutes)
What is the prime factorization of 12,600 in exponential notation?
23 x 33 x 52 x 7
Which actor plays Dallas in the 1983 live version of "The Outsiders"?
Matt Dillon