Divisibility + prime numbers - practice problems
Number of problems found: 207
- Relay teams
There are 159 students to be grouped into relay teams. Each team should have the same number of students. Can each team have 3,5 or 6 students? Explain. - A number 8
A number K is such that when it is divided by 27, 30, or 45, the remainder is 3. Find the smallest possible value of K - Same remainder
Find the greatest number that will divide 43, 91, and 183 so as to leave the same the remainder in each case. - Composition 83241
You have to create as many identical candy boxes as possible from 280 orris, 252 nougat, and 420 marzipan candies. At the same time, you must not have any candy left or missing. What will be the composition of one box of chocolates, and how many candies w
- Performance_ 82318
The dance troupe has 24 members. How many equal-sized groups of dancers can he divide into during a performance_ - Probability 81964
Calculate the probability of the event that you sit in seats 1 to 30 in the cinema at: a) seat marked with a prime number b) seat marked with an even number c) a seat marked with a number divisible by 3 or 4 - Determines 80517
Determines all two-digit numbers that have a greatest common divisor of 19 with the number 76 - Number 80500
Which number does not belong in the number series and why? 11. . . 13 . . . 15 . . . 17 . . . 19 - Divisible 79464
The teacher wrote a number less than 50,000 on the board. The first student said: This number is divisible by 2 The second student said: This number is divisible by 3 And so on, down to the last one who claimed it was divisible by 13. Two in a row lied. W
- Three-step 78424
In the physical education lesson, students entered the two-step, three-step, four-step, six-step, and eight-step classes, but there was always one student left. How many students practiced if there were more than 40 and less than 50? - What is 20
What is the least number that should be added to 2497 so that the sum of the digits is divisible by 5, 6, and 10? - Is prime?
Which of the following numbers is prime? 21,11,18,25 - Divisible 72004
Find the natural number between the numbers 70 and 80 divisible without the remainder 5, 3, 15, and 25. - Divisible without remainder
Determine the number by which all these numbers, 22, 18, 25, 15, 35, and 10, are divisible without remainder. The number is greater than 1.
- Two-digit 68654
List all compound positive two-digit numbers whose greatest common divisor with the number 51 is the number 17. - Calculate 67294
Calculate the sum of all divisors of the number 70. - AND-NOT-AND
If P is the set of multiples of 2, Q is the set of multiples of 3, and R is the set of multiples of 7, the following integers will be in P and Q but not in R: A=−54 B=−50 C=42 D=100 E=252 - Check divisibility
Put a check under each column to identify whether each number is divisible by 2, 5, 10, 3, 6, or 9. 54180; 1 624 2700 5605 568 - Difference 56811
I think the number. The difference between nine times and four times the unknown number is 625. What number do I think?
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