Question
If total number of factors of 2,520 is 'y', then find
the value of (y - 4)(y + 6).Solution
Factors of 2,520 = 2³ × 3² × 5¹ × 7¹ So, total number of factors = (3 + 1)(2 + 1)(1 + 1)(1 + 1) = 4 × 3 × 2 × 2 = 48 y = 48 Required value = (y - 4)(y + 6) = (48 - 4)(48 + 6) = 44 × 54 = 2376.
What is the value of (2² + 3²) × (4³ + 5³) ÷ (6⁴)?
If 45780x52 is divisible by 72, then find the sum of all possible values of 'x'.
A six-digit number 27p5q8 is divisible by 36. What is the greatest possible value for (p×q)?
What is the largest common divisor of the numbers 1026, 2268 and 2430?
On dividing a certain number by 304, we get 43 as the remainder. If the same number is divided by 16, what will be the remainder?
What is the remainder of function 5a³–15a² +14a–3 when divided by (2a-2)?
A six-digit number 11p9q4 is divisible by 24. Then the greatest possible value for (p + q) is
Which of the following numbers is divisible by 22?
Find the smallest number divisible by 12, 18, and 24 that is greater than 1000.
If 65x is a three-digit number and it is divisible by 6, what can be the value of the digit x?
