SOLUTION: How many three digit numbers are such that the product of their digits is 120? (A) 2 (B) 3 (C) 6 (D) 12 (E) 24

Algebra.Com
Question 306210: How many three digit numbers are such that the product of their digits is 120?
(A) 2 (B) 3 (C) 6 (D) 12 (E) 24

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!

Two combinations of single digit numbers make a product of 24.


Look at all combinations of 3,5,8 and 4,5,6.
3 numbers taken 3 at a time makes for 6 combinations.
2 sets of 6 combinations makes 12 total.
D) is the correct answer.

RELATED QUESTIONS

How many three digit numbers are such that the product of their digits is... (answered by Fombitz,toidayma,MathTherapy)
How many different three digit numbers greater that 240 can be formed by using three... (answered by user_dude2008)
How many 3-digit numbers are there for which the sum of the digits of the number is 24? (answered by Edwin McCravy)
If repeated digits are not allowed, the number of four-digit even numbers that can be... (answered by Edwin McCravy)
Numbers are to be built using only the digits 1,2,3,4, and 5 in such a way that each... (answered by lotusjayden,greenestamps)
How many even numbers can be formed from the digits 1, 2, 3, 4 and 5 using each of the... (answered by stanbon)
What is the minimum number of consecutive even numbers that you must multiply together to (answered by checkley77,user_dude2008)
How many three digit numbers can be made using only the digits 1 to 9 so that at least... (answered by stanbon)
Different positive four-digit integers are to be formed by using each of the digits... (answered by Edwin McCravy,Theo)