22 Jan (01): Prime Factorisation (continues...)

Textbook p9 #25:

The Prime factorisation of a number is 2^4 X 3^5 X 7^2 X 11.

Write down 3 factors of the number that are greater than 100.

(Hint: 16 X 11 = 176, which is a factor.)

The number=2x2x2x2x3x3x3x3x3x7x7x11

=2095632

Factors greater than hundred:

2095632/2=1047816

2095632/3=698544

2095632/4=523908

Since all these factors are greater than 100, they are the answers.

Textbook p9 #26:

The Prime factorisation of two numbers are 2 X 3^2 X 7^3 X 13 and3 X 7^2 X 13^3 X 17 .

Write down 3 common factors of the numbers.

1st number=2x3x3x7x7x7x13

=80262

2nd number=3x7x7x13x13x13x7

=2260713

Common factors: 3,7,13