Question

A three-digit number has the same hundreds, tens, and units digit.  The sum of the prime factors of the number is 47.  What is the three-digit number?

Answer 1

All 3-digit numbers formed from the same digit are divisible by 3, so we know 3 is a factor. The remaining prime factors add up to 44. Also, since 37 goes into 111, it is also a factor of every 3-digit number made up of the same digit. We now have two factors 3 and 37, whose sum is 40. So the remaining factors must add up to 7. 1 is not considered to be a prime number. 2 and 5 together can be eliminated because 2*3*5*37=1110 which is too large. That leaves us with 3+4=3+2+2 (which gives a 4-digit number) and 7. So the answer is 3*7*37=777.

Answer 2

in the tens it is 7   and the 4 is the same one

Answer 3

Let three numbers are x x x
some digit * 111
111= 3*37

3 , 37 (47-40)
3 , 37 , 7
3*7*37 = 777
so
777