I teach this after they have learned how to count prime factors in general. Not all the students make that step on their own, but they all recognize it as logical as soon as one of them says it.

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## CAT Practice : Number System: Factors

This question appears to be off-topic. Put a 2 in each parenthesis: Give the numerator and denominator their own radical signs. Since square root of 83 is a little more than 9, we should check for all prime numbers less than 9. Sign In Join now. Also I don't think we can use summation for number of ways here.

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Make sure you see why this is true. ONLY perfect squares will have odd number of total factors and ALL perfect squares will have an odd number of total factors. General Discussion.

## Perfect Square Factors

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Test's Subscription Expires: Their sum is 39, an odd number but 18 is not a perfect square. Let us know! How to get 6.