Number- What are factors and products?

Topic: Factors and Products

What is a Factors?




Multiplying two whole numbers gives a product. The numbers that we multiply are the

 factors of the product.  






Example:  3 × 5 = 15 therefore, 3 and 5 are the factors of 15.

This also means:



A factor divides a number completely without leaving any remainder.






For example:  30 ÷ 6 = 5, and there is no remainder. So we can say that 5 and 6

 are the factors of 30.



In the given example, we can further break up or simplify the number 6 into its factors,

 that is, 2 and 3.



 In other words, when we multiply 5, 2 and 3, we still get 30.



 Therefore, the factors of 30 are 5, 2, and 3. Also, 5 × 2 = 10.



 So, 10 is also a factor of 30. Similarly, 5 × 3 = 15.



 So, 15 is also a factor of 30. 



Finally, the factors of 30 are 1, 2, 3, 5, 6, 10, 15 and 30

1.The number 1 is the smallest factor of every number.



2. Every number will have a minimum of two factors, 1 and the number itself.



3. A number that has only two factors, 1 and the number itself, is called a prime number.