Question

What is the common name used for numbers that have an odd number of factors? What is the least positive integer that has exactly 13 factors?

Answer 1

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Answer 2

Answer:

Properties of numbers: Even – Odd

Even Numbers

Any integer that is a multiple of 2 is an even number.

So, any integer which is in the form of 2k, where k is an integer, is an even number

So, all integers that end with 0, 2, 4, 6 or 8 are even numbers

E×ample: 4, 56, 98, 200 are all even numbers

Odd Numbers

Properties of numbers - even and odd numbers

Any integer which is not an even number is an odd number

Or, in other words, an integer that is not a multiple of 2 is an odd number

So, any integer which is in the form of 2k ± 1, where k is an integer, is an odd number

So, all integers that end with 1, 3, 5, 7 or 9 are odd numbers

Example: 7, 31, 75, 499 are all odd numbers

Note: There is an odd number between every two consecutive even numbers.

According to the definitions given above is 0 an even or an odd number?

Properties of numbers: Even and Odd number properties

Now that we know what are even and odd numbers, let’s see their properties