Factors of 100 are the numbers that divide 100 without leaving a remainder. The factors of 100 are:

1, 2, 4, 5, 10, 20, 25, 50, and 100.

These are the positive integers that can be multiplied together in pairs to obtain the product 100. For example, 2 and 50 are factors of 100 because 2 * 50 = 100. Similarly, 4 and 25 are factors of 100 because 4 * 25 = 100.

It’s worth noting that 1 and the number itself, in this case, 100, are always factors of any number. The remaining factors are obtained by finding pairs of numbers whose product equals 100.

## How many Factors of 100

The factors of 100 can be determined by listing all the positive integers that divide 100 without leaving a remainder. To find the factors, we can start with 1 and check if it divides 100 evenly. If it does, we include it as a factor. Then, we check if 2 divides 100 evenly, followed by 3, 4, and so on until we reach 100.

The factors of 100 are: 1, 2, 4, 5, 10, 20, 25, 50, and 100.

There are a total of 9 factors for the number 100.

#### Factor Pairs of 100

Factor pairs of 100 refer to the pairs of numbers that, when multiplied together, result in 100. The factor pairs of 100 are as follows:

1 * 100 = 100

2 * 50 = 100

4 * 25 = 100

5 * 20 = 100

10 * 10 = 100

So, the factor pairs of 100 are (1, 100), (2, 50), (4, 25), (5, 20), and (10, 10).

#### All Factors of 100 using Multiplication

To obtain all the factors of 100 using multiplication, you can start with the factor pairs mentioned earlier and also consider the products of those factors with other numbers. Here are all the factors of 100 obtained through multiplication:

1 * 100 = 100

2 * 50 = 100

4 * 25 = 100

5 * 20 = 100

10 * 10 = 100

In addition to these factor pairs, you can also consider the products obtained by multiplying these factors with other numbers:

1 * 1 = 1

1 * 2 = 2

1 * 4 = 4

1 * 5 = 5

1 * 10 = 10

1 * 20 = 20

1 * 25 = 25

1 * 50 = 50

1 * 100 = 100

So, the complete list of all factors of 100 obtained through multiplication is:

1, 2, 4, 5, 10, 20, 25, 50, 100