Statement 1: the number of ways of writing 1400 as a product of two positive integers is 12. Statement 2: 1400 is divisible by exactly three prime factors.

Prove that the product of two consecutive positive integers is divisible by 2.

Find the number of ways in which the number 94864 can be resolved as a product of two factors.

The product of n positive numbers is 1, then their sum is a positive integer, that is

The number of ways in which we can choose two positive integers from 1 to 100 such that their product is a multiple of 3 is

Number of four digit positive integers if the product of their digits is divisible by 3 is.

Statement 1: The number of positive integral solutions of a b c=30 is 27. Statement 2: Number of ways in which three prizes can be distributed among three persons is 3^3

A fair die is rolled once. Statement 1: the probability of getting a composite number is 1/3. Statement2: There are three possibilities for the obtained number (i) the number is a prime number, (ii) the number is a composite number, and (iii) the number is 1. Hence, probability of getting a prime number is 1/3.

In how many ways the number 7056 can be resolved as a product of 2 factors.

Statement 1: Number of ways in which 30 can be partitioned into three unequal parts, each part being a natural number is 61. Statement 2; Number of ways of distributing 30 identical objects in three different boxes is ^30 C_2dot