CT 6: Multiple & Factor – II

1.The total number of factors of 540 is-

2. If 504 = 2^p × 3^q × 7^r, then what is the value of (2p + q - r)?

3. Sum of the factors of 8p²q² - [(√2p)²+ q² - r²]².

4. 504 = 2^p × 3^q × 7^r, then what is the value of 2p + q - r?

5. From given options the number that will completely divide (3⁶¹ + 3⁶² + 3⁶³ + 3⁶⁴) is:

6. What are distinct prime factors of the number 26381 ?

7. Find the number of zeroes in the product of 4 × 8 × 12 × 16 × ….. × 1600.

8. The sum of factors of 1520 except the unity is

9. If (x - 4) is a factor of x³ + 3x² - 6x - p, then find the value of p.

10. The number of prime factors in 6¹⁸ × 7¹¹ × 9¹³ is