S K Gupta and Anubhuti Gangal Solutions for Exercise 4: Exercise

Complete the factor tree

Complete the factor tree

Write the prime factorisation of the largest $4$-digit number.

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

What least number should be subtracted from $26492518$ so that the resulting number is divisible by $3$,  but not by $9$?

Write all three digit numbers using $3, 4$ and $5$. (Do not repeat the digits)

How many are divisible by $3$? Why ?

Write all three-digits numbers using $3, 4$ and $5$. (Do not repeat the digits)

How many are divisible by $3$? Why ?

Find the prime factors of $1729$. Arrange the factors in ascending order. Find a relation between consecutive prime factors.