A number is divisible by 2,3, and 8. what is the smallest three digit number that is divisible by this number?
is it 144?
the LCM of 2,3, and 8 is 3*8 = 24
now we go higher until we reach a 3 digit number
24*2 = 48
24*4 = 96
24*5 = 120 ----- ahh, reached 3 digits
check:
is 120 divisible by your 3 choices ?
Yeah thanks
Benjamin/Daisy/Ave/Leo/Emma --
Whoever you are, you've been put on the banned list for spamming this website overnight. Those overnight posts have been removed.
To find the smallest three-digit number that is divisible by 2, 3, and 8, we need to find the least common multiple (LCM) of these three numbers: 2, 3, and 8.
To find the LCM, we can use the prime factorization method. First, we factorize each number:
- 2 is a prime number, so its prime factorization is 2.
- 3 is also a prime number, so its prime factorization is 3.
- 8 can be factored into 2 x 2 x 2 or 2^3.
Next, we look for the highest power of each prime factor. In this case, the highest power of 2 is 2^3, and the highest power of 3 is 3^1.
Now, we multiply these highest powers of the prime factors to find the LCM:
LCM = 2^3 x 3^1 = 8 x 3 = 24.
Therefore, the smallest three-digit number that is divisible by 2, 3, and 8 is 24. So, no, it is not 144.