Question

8. Find the prime factors of 1729. Arrange the factors in ascending order and find the relation between two consecutive prime factors.
9. In which of the following expressions, prime factorisation has been done?
(a) 84 = 2 x 6 x 7
(b) 150 = 2 x 3 x 5 x 5
(c) 108 = 2 x 2 x 3 x 3 x 3
(d) 1260 = 2 x 2 x 5 x 7 x 9​

Answer 1

Answer:

9. In which of the following expressions, prime factorisation has been done?

(c) 108 = 2 x 2 x 3 x 3 x 3

this is the ans

Answer 2

Step by step explanation:

8.To find the factors,

Here, 1729

We do prime factorisation of 1729

7/1729

13/247

19/19

1

9. (a) 84 is a composite number. 84 = 1 x 84, 2 x 42, 3 x 28, 4 x 21, 6 x 14, or 7 x 12. Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84. Prime factorisation: 84 = 2 x 2 x 3 x 7 which can also be written 2² x 3 x 7.

(b) Here, 150= 2×3×5 (square)

2×3×5 (square)

2×3×25

6×25

150.

Here, we ended were we started. Therefore, our prime factorisation of 150 is correct.

(c) prime factorisation calculator of 108

ation calculator of 108Positive Integer factors of 108 = 2, 4, 3, 12, 36, 108 divided by 2, 2, 3, 3, 3, gives no remainder. They are integers and prime numbers of 108, they are also called composite number.

(d) 1260 = 2×2×3×3×5×7

36=2×2×3×3

Thus, 1260/ 36 = 5 × 7 (after removing common prime factors)