Only 66.
The factor that has both 1234 and 5 in it is their least common multiple (LCM). To calculate the LCM of 1234 and 5, we can find the prime factorization of each number and then combine the highest powers of each prime. Since 1234 is even and divisible by 2, the LCM is 1234 multiplied by 5, which equals 6170. Thus, 6170 is a common factor of both numbers.
The are six such numbers: 18,36,54,72, 90 and 108 .
6 12 18
972 is one of the numbers that is divisible by both.
To find how many numbers between 1 and 300 are divisible by 3 or 4, we can use the principle of inclusion-exclusion. The count of numbers divisible by 3 is ( \lfloor 300/3 \rfloor = 100 ), and those divisible by 4 is ( \lfloor 300/4 \rfloor = 75 ). The numbers divisible by both (i.e., by 12) are ( \lfloor 300/12 \rfloor = 25 ). Thus, the total count is ( 100 + 75 - 25 = 150 ). Therefore, there are 150 numbers between 1 and 300 that are divisible by either 3 or 4.
between 1 and 600 inclusive there are:300 numbers divisible by 2200 numbers divisible by 3100 numbers divisible by both 2 and 3400 numbers divisible by 2 or 3.
The factor that has both 1234 and 5 in it is their least common multiple (LCM). To calculate the LCM of 1234 and 5, we can find the prime factorization of each number and then combine the highest powers of each prime. Since 1234 is even and divisible by 2, the LCM is 1234 multiplied by 5, which equals 6170. Thus, 6170 is a common factor of both numbers.
0,12,24,36,48,60,72,84, and 96 are the numbers between 0 and 100 that are divisible by both 3 and 4.
The numbers divisible by both 3 and 4 are multiples of 12, thus between 10 and 99: 12, 24, 36, 48, 60, 72, 84, 96 are the numbers divisible by both 3 and 4.
Two numbers: 126 and 147
Four. 24 and its multiples.
670
Oh, what a lovely question! Let's see, we can find the numbers divisible by 3 first, which are 33 numbers, and the numbers divisible by 7, which are 14 numbers. But wait, some numbers are divisible by both 3 and 7, so we must be careful not to count them twice. In the end, there are 47 numbers between 1 and 100 that are divisible by 3 or 7. Happy counting!
To find numbers between 30 and 40 that are divisible by both 4 and 9, we need to find the least common multiple of 4 and 9, which is 36. The numbers between 30 and 40 that are divisible by 4 and 9 are 36.
The are six such numbers: 18,36,54,72, 90 and 108 .
The lists of numbers divisible by and not divisible by 600 are both infinite.
To find the numbers between 1 and 100 inclusive that are divisible by either 9 or 4, we first determine how many numbers are divisible by 9 and how many are divisible by 4. There are 11 numbers divisible by 9 (9, 18, 27, ..., 99) and 25 numbers divisible by 4 (4, 8, 12, ..., 100). However, we must be careful not to double-count numbers divisible by both 9 and 4 (36, 72). Therefore, the total number of numbers divisible by 9 or 4 between 1 and 100 inclusive is 11 + 25 - 2 = 34.