Grades 11-12 Video Solutions 2022-2022_11-12

Video Transcription

Video Summary

There is exactly one positive 3-digit integer that is equal to 5 times the product of its digits, which is 175. By analyzing the structure and properties of the number, it was determined that it must end in 5, making the other digit choices limited. The process involved recognizing that the number had to be odd, a multiple of 25, and no digit could be even, ultimately leading to the solution of 175 for fulfilling the given condition.

Keywords

3-digit integer

product of digits

multiple of 25

odd number

number 175