Show that `3^(2008)+4^(2009)` can be written as a product of two positive integers each of which is larger than `2009^(182)`.

If x^(2)+4xy+4y^(2)+4x+cy+3 can be written as the product of two linear factors, then c=

Calculate the LCM of two positive integers whose product is 108 and HCF is 3

Find all pairs of consecutive even positive integers both of which are larger than 8 such that their sum is less than 25.

Calculate the LCM of two positive. Integers whose product is 108 and HCF is 3.

Find all pairs of consecutive even positive integers both of which are larger than 5 such that their sum is less than 23.

A positive integer n is called bad if it cannot be expressed as the product of two distinct positive integers greater than 1. Find the number of bad positive integers less than 50.

The sum of two positive integers is 42 and their difference is 4 . Find their product.

Find the total number of ways in which 6, 30, 210 and 60 can be written as a product of two co-primes.

Which of the following can be expressed as the sum of square of two positive integers,as well as three positive integers?

Which of the following statements are true and which are false ? (i) The product of a positive integer and a negative integer is negative. (ii) The product of two negative integers is a negative integer. (iii) The product of three negative integers is a negative integer. (iv) Every integer when multiplied with - 1 gives its multiplicative inverse.