Subject Experts Solutions for Chapter: Factors and Multiples, Exercise 1: Exercise 1

A number $P$ is divisible by $5, 4, 8$ and $9$. If $P$ is a $3$-digit number, then find all the possible values for $P$.

Find the $\mathrm{HCF}$ of $84$ and $112$ by division method.

Find the least common multiple of $8, 15$ and $20$ by prime factorization method.

Find the $\mathrm{HCF}$ of $24, 60$ by prime factorisation method.

Find the $\mathrm{HCF}$ of $48, 64, 80$ by prime factorisation method.

Find the $\mathrm{HCF}$ of $72, 140, 256$ by division method.

Rishitha and Lohitha are twins. They play a game in which they open a page of a text book printed in English. From the first letter of the page, Rishitha strikes every ${12}^{\mathrm{th}}$ letter and Lohitha strikes every ${18}^{\mathrm{th}}$ letter. If they strike the same letter $17$ times in the page, then find the minimum number of letters in the page selected.

The $\mathrm{HCF}$ and the $\mathrm{LCM}$ of two numbers are $2$ and $12$. Find the possible pairs of numbers.