Number of Factors

Consider the factors of 2^6. There are 7 factors: 1, 2, 2^2, 2^3, ……, 2^6.
Similarly, for 3 there are 2 factors: 1, 3; and
similarly, for 643, there are 2 factors: 1, 643
So the total number of factors will be 7 x 2 x 2 – 2 (1 x 1 x 1 = 1, and 2^6 x 3 x 643 = 123456 need to be minus off) = 26 positive factors

Describe a method of preparing silver chloride from the reaction of silver nitrate and dilute hydrochloric acid.

The silver chloride salt can be prepared using the precipitation method.

Add equal volumes of dilute hydrochloric acid to a beaker containing aqueous silver nitrate.

Stir the solution. A white precipitate of silver chloride is formed.

Filter the mixture to obtain silver chloride as the residue. Wash the residue with cold distilled water and dry between two pieces of filter paper.

Describe a method of preparing copper(II) sulfate from the reaction of copper(II) oxide and dilute sulfuric acid.

The copper(II) sulfate salt can be prepared using the filtration method.

Copper(II) oxide is added in excess to a fixed volume of dilute sulfuric acid.

Filter the mixture to remove the excess copper(II) oxide from the copper(II) sulfate solution.

The filtrate of copper(II) sulfate is then heated until saturated.

The saturated solution is allowed to cool so that crystals of copper(II) sulfate can be formed.

Filter the mixture to remove the excess water.

Wash the crystals with a little bit of cold distilled water and dry between two pieces of filter paper.