how many positive integral factors does the number 36 have? I don't understand what that means or how to find the answer.
To understand the concept of integral factors, let's start by defining what factors are. In mathematics, a factor of a number is an integer that evenly divides that number without leaving a remainder.
For example, let's take the number 36. The factors of 36 are the integers that can divide 36 without leaving a remainder. In this case, the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
To find the number of positive integral factors of 36, you can count the number of factors that divide 36 without leaving a remainder. In this case, there are 9 factors that evenly divide 36, namely 1, 2, 3, 4, 6, 9, 12, 18, and 36.
To summarize, the number 36 has 9 positive integral factors.
If you want to find the factors of any given number, here's a step-by-step process to follow:
1. Start by writing down the number for which you want to find the factors.
2. Begin with the smallest possible factor, which is 1.
3. Divide the number by the factor and see if it evenly divides without leaving a remainder. If it does, then it is a factor.
4. Repeat the process for the next integer, checking if it is a factor by dividing the number in question.
5. Continue this process until you reach the number itself.
6. The factors will be all the integers that divide the number without leaving a remainder.
By following these steps, you can find the factors of any given number.