Question

Kaia rewrote the sum 96+12 as 12 (8+1). She used the same method to rewrite the sum 95+15 as 5(19+3). Describe her method and tell whether she can use it to rewrite the sum 38+11. Explain.

Answer 1

When Kaira wrote 96 +12 as 12(8+1), she "factorized" 12, that is Karira found that 12 is a factor of both 96 and 12.


then she wrote 95+15=5(19+3), that is she factorized 5,

5 is a factor of both 95 and 15 because 95=5* 19 and 15=5*3



To use this method to calculate 38+11 we need 38 and 11 to have some common factor (different from 1),

but 11 is a prime number, that is, it has no factors except 1 and 11. We can only apply the method if 11 is a factor of 38, but it is not.


Answer: The method is called "factorization", and it cannot be applied to calculate 38+11