Question

how many 2 digit numbers have odd number of factors?

Answer 1

Answer:

There exist six numbers containing an odd number of factors.

Step-by-step explanation:

There exist six numbers containing an odd number of factors. The only numbers that contain an odd number of factors exist in perfect squares. so the only perfect squares that exist with two digits are 16, 25, 36, 49, 64, and 81.

A factor of a number exists as a number that divides the assigned number evenly without leaving any remainder. Most of the numbers contain an even number of factors but the square numbers which contain an odd number of factors.

For instance, 9 contains an odd number of factors, 1, 3, and 9. 16 even contains an odd number of factors, 1, 2, 4, 8, 16. The reason for this exists, for numbers different than perfect squares, all factors exist in the state of pairs, but for perfect squares, one factor exists single and makes the sum as odd.

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