The Fundamental Theorem of Arithmetic

Find the numbers by which $7289$ will be divisible.

For _____ values of $x$, $2^x\times 5^x$ ends in $5$. 

Using the fundamental theorem of arithmetic to find the $\mathrm{HCF}$ of $72, 56$ and $420$.

Using the fundamental theorem of arithmetic to find the $\mathrm{HCF}$ of $26, 52$ and $104$.

The digit at the unit place in ${\left(3157\right)}^{2020}$ is

Mr. Anil lives in village and is engaged in agriculture occupation. He needs some money and takes loan of Rs. $1,00,000$ from co-operative bank situated in his village. He also borrows Rs. $50,000$ from money lender of the village and Rs. $25,000$ from his friend. In this situation, what is the ratio of his loan from formal and informal sector?

Cube root of $328509$ is

How many numbers lie between $100$ and $400$ which when divided by $9$ leave a remainder $6$, and when divided by $21$, leave a remainder $12$?

If $\frac{3}{6+3\sqrt{3}}=a+\sqrt{3}b$ , where $a$ and $b$ are integers, then the value of $\sqrt{5a+b}$  is:

If $a^2+b^2+c^2+d^2=25,$ out of the following statements the correct one is

Find the number of positive divisors of $1080$.

Write the sum of powers of prime factors of $196$