Factor Fun
What is the smallest positive composite number that does not have any prime factors less than 20?
What is 529?
What is the GCF (greatest common factor) of F and G if F x G = 210? F and G are positive integers.
What is 1?
A two-digit whole number is divisible by E and its units digit (the number in the ones place) is also E. The two digits are different. What is the largest possible value of E ?
What is 48?
What is the prime factorization of 24?
Juan sees Thieu every 12 days and he sees Thrye every 28 days. Juan, Thieu, and Thrye are having lunch today. In how many days will they next see each other ?
What is 84?
One prime factor of 272 is 2. What is the only other prime factor of 272 ?
What is the Greatest Common Factor of 216 and 504?
What is 72?
What is the only whole number between 280 and 290 that is divisible by both 4 and 9?
What is 288?
Give the prime factorization of 1080 in exponential form with the primes ordered from least to greatest.
What is 23x33x5
A floor measures 240 inches by 400 inches. You were asked to tile it with rectangular tiles so that a whole number of them would cover the floor (without a need to break any). You were also asked to use tiles which are twice as long as they are wide. You realize there are many different sizes you can use, but you want to minimize the number of tiles used. What’s the least number of identical tiles you can use?
What is 30?
How many of the following eleven numbers are factors of every positive whole number that is divisible by both 9 and 12?
3 4 6 8 18 24 27 36 45 72 108
What is 5?
The GCF (greatest common factor) of A and B is the largest whole number that is a factor of both A and B. X = the GCF of 12 and 20. Y = the GCF of 15 and 35. Z = the GCF of 8 and 21. What is the sum of X + Y + Z?
What is 10?
Ernie was counting the jellybeans in his bag. He noticed that when he arranged them in rows of either 6 or 8 beans, he was always left with 3 ‘extras’, but when he arranged them in rows of 5, there were none left over. What’s the least possible number of jellybeans that he has?
What is 75?
The prime factorization of 11,220 is 5 x A x B x C x 3 x 11. What is the sum of A + B + C ?
What is 21?
Jacqueline watches the TV sitcom "Big Bang Theory" every 12 days. She watches "Cosmos" every 18 days and "Scorpion" every 28 days. If she watched all three shows on a Tuesday, on what day of the week will she next watch all three shows ? Assume that all of the shows are aired every day of the week.
What is Tuesday?
What is the sum of all factors of the number 1,000 ?
What is 2340?
The GCF of F and G is 6. The LCM (lowest common multiple) of F and G is 72. F = 18. What is the value of G ?
What is 24?
What is the smallest natural number which is divisible by 3, 4, 5, 6, and 7?
What is 420?
A and B are prime numbers that make this equation true: 492 ∙ 35 ∙ 8 = 5 ∙ 143 ∙
What is 9?
Radio station WAVE plays my favorite song every 12 hours. Station WIFE plays it every 18 hours while station WEEK plays it every 30 hours. My favorite song is playing at 4:00 P.M. on a Thursday on all three stations. At what time and on what day of the week will my favorite song play next on all three stations? You must include A.M or P.M. in your answer.
What is 4:00 AM Friday?
1, 2, 3, 4, 6, 7, 12 are the smallest seven factors of a natural number. What is the least number of factors can have?
What is 12?
Find the smallest whole number that is a common multiple of 18 and 40 and is also a perfect square.
What is 3600?
What is the smallest -digit number that is a multiple of 18?
What is 10008?
The prime factorization of 405,000 is 23x3Nx5P. Find the value of 7N + P.
What is 32?
At the manufacturing plant of Gadgets & Gizmos, Inc., it takes 1 hour and 24 minutes to assemble a gadget and 1 hour and 52 minutes to assemble a gizmo. At 9:12 AM one morning, a new gadget and a new gizmo roll off the assembly lines simultaneously. Give the time of day, using AM or PM, for the next time that a new gadget and a new gizmo will roll off the assembly line simultaneously.
2:48 PM