SAT/CCSSM: How many 3-digit positive integers satisfy...

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An acronym I just thought of for improving your students' performance on SATs or other standardized tests:


S: SPEED
A:ACCURACY
T:TERMINOLOGY

(For training purposes only)
TIME LIMIT: 45 sec
NO CALCULATOR

HOW MANY 3-DIGIT POSITIVE INTEGERS SATISFY BOTH OF THE FOLLOWING CONDITIONS?

• THE PRODUCT OF THE DIGITS IS 72
• THE 3-DIGIT INTEGER IS A PALINDROME (an integer that is the same when its digits are reversed)

Let me know how many of your students can do this within the time limit and no calculator.  And for those who could not? Guess that means they need more of these to practice! Why not ask each student to write a similar problem for hw! They learn more from writing their own and we give up control --- perfect!!


Answer: Read below shameless ad for my book...


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Answer (send yours if you believe I erred!):
2 (namely 383,626)