Factors and Multiples

What is the smallest three-digit number that is divisible by $5$?

If the sum of the digits of a number is $12$, is that number divisible by $9$?

If the last two digits of a number are $16$, the number is divisible by:

Which digit at the ones place makes any number divisible by $10$?

What is the smallest number that should be subtracted from $1,000$ so that the result is exactly divisible by both $5$ and $9$?

What is the largest $3$-digit number that is divisible by $6$ and has $4$ in its ones place?

If the $5$-digit number $72,x05$ is divisible by $11$, what is the value of the digit $x$?

If $7A3B$ is divisible by both $3$ and $5$, what is the maximum possible value of the sum $A + B$?

If the number $4x7y$ is divisible by $9$ and the difference $x - y = 3$, find the value of $x$.

The expression $10^n - 1$ (where $n$ is a positive whole number) results in a number that is always divisible by which digit?

The number $1$ is not prime because it has ________.

Which prime number is found between $25$ and $30$?

What is the smallest number that has exactly three factors?

Identify the composite number from this list: $11, 13, 21, 23$.

A certain number has exactly three factors and is located between $20$ and $30$. What is the number?

What is the product of the largest $1$-digit prime number and the smallest $2$-digit composite number?

Which of these numbers is a factor of $100$?

Find a set of co-prime numbers among the following.

What is the prime factorization of $256$?

If $p$ is a prime number greater than $3$, what is the remainder when $p^2$ is divided by $3$?

What is the prime factorization of $100$?

The prime factorization of $92$ is:

Write the prime factorization of $91$.

Express $90$ as a product of its prime factors.

What is the prime factorization of $216$?

Which of these represents the prime factorization of $160$?

Identify the prime factorization of $114$.

Find the sum of the prime factors (counting repetitions) of the largest $3$-digit number that has $2$ and $5$ as its only prime factors.

When a number $X$ is divided by its smallest prime factor, the quotient is $165$. If $X$ is an even number, what is the prime factorization of $X$?

What is the prime factorization of $1089$?

Calculate the HCF of $15$ and $21$.

What is the HCF of $4$ and $10$?

Find the HCF of $6, 12,$ and $24$.

The HCF of $10, 20,$ and $30$ is:

Find the largest number that divides $96$, $144$, and $160$ exactly without leaving any remainder.

A milkman has two large cans containing $72$ liters and $108$ liters of milk. What is the maximum capacity of a container that can measure the milk in both cans an exact number of times?

What is the HCF of $36, 54,$ and $72$?

Which of the following numbers is the HCF of $45, 75$ and $120$?

What is the HCF of $162, 270$ and $432$?

A rectangular field is $200$ m long and $160$ m wide. It is to be divided into square plots of equal area. Find the maximum possible side of such a square plot.

What is the smallest number exactly divisible by $12$ and $16$?

Find the LCM of $1, 2,$ and $3$.

What is the smallest common multiple of $18$ and $27$?

The LCM of $14$ and $28$ is:

What is the LCM of $9, 18,$ and $27$?

Find the LCM of $6, 8,$ and $10$.

Find the LCM of $35$ and $45$.

Find the smallest number which is a multiple of $14, 21,$ and $42$.

Find the least number which when increased by $3$ is divisible by $21, 28,$ and $36$.

What is the largest $3$-digit number that is exactly divisible by $12, 18,$ and $24$?