What is the Number?

This classic number riddle is a great way to sharpen your problem-solving skills and practice basic arithmetic operations in a fun way. To solve it, start by considering the properties given: the digits of the number multiply to 24, and their sum is 10. First, think about the possible sets of digits whose multiplication equals 24. Because 24 factors into 1, 2, 3, 4, 6, and 8 among others, combinations like (4 and 6), (3, 2, and 4), or (8 and 3) might be worth testing. However, the sum condition narrows down the options. For example, if the number’s digits are 4 and 6, their product is 24 and sum is 10, which fits perfectly. So, the two-digit number 46 or 64 could be considered. Indeed, 4 + 6 = 10 and 4 × 6 = 24. Thus, 46 and 64 both satisfy the riddle if the number consists of two digits. Riddles like this strengthen mental math, encourage logical thinking, and can be used as educational tools in classrooms. Sharing and solving such brainteasers can make learning math enjoyable and interactive for students and educators alike. I found that working through these puzzles regularly significantly improves my numerical intuition and keeps my mind sharp.