Specific mathematical number theory Chapter-----salute Kunth

Divisible:

　　introduced the \ Representative division of. M\n indicates that M is divisible by N. Pay attention to the divide here. Represents n = km (k is an integer).

In the divisible sex here. M must be a positive number. Perhaps you can describe N as the K-fold of M. In this description, M can exactly be any number. And in the division of the expression m divisible by N, which specifies that M must be a positive number. There is no limit of 0.

Then answer the following questions:

1: What is a multiple of 0?

2: What can be divisible by 0?

3: What can be divisible by-1?

4: What can be divisible by 1?

Can 5:2pi be divisible by pi?

Can 6:2pi be divisible by 2?

The answers were:

1:0

2: No number can be divisible by 0. (m=0 here because of m>0)

3: Ibid. No number can be divisible by-1. That is, 1 is not divisible by any number (strictly speaking).

4: Any integer.

5: Yes. M>0 n/m is an integer, according to the definition of divisible nature. N m is any real number (m>0)

6: not possible. Pi is 3.14 ... is an infinitely repeating decimal non-integer.

Max male factor (greatest common divisor):

denoted by the symbol gcd (n,m). This is the so-called greatest common divisor.

The question of finding the most common factor is the first to be explored.

Specific mathematical number theory Chapter-----salute Kunth