Prime factorisation(continues...)Textbook p9 #25 and #26

Qns 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.)

2^4 X 3^5 X 7^2 X 11= 2 095 632

The number is 2 095 632. The factor of the number: 2 095 632 divided by 2=1 047 816 (a factor)

2 095 632 divided by 3=698 544 (a factor)

2 095 632 divided by 4=523 908 (a factor)

So after we divide the number(2 095 632) by 2,3 and 4 we have three factors, which are 1 047 816, 698 544 and 523 908. They are all greater than 100.

Ans:1 047 816, 698 544 and 523 908

Qns 26:The Prime factorisation of two numbers are 2 X 3^2 X 7^3 X 13 and 3 X 7^2 X 13^3 X 17.

Write down 3 common factors of the numbers.

2 X 3^2 X 7^3 X 13= 80 262

3 X 7^2 X 13^3 X 17= 5 490 303

The two number can be divided by 3,7 and 13, so these are the three common factors of the two numbers.

Ans:3,7 and 13