Express $7429$ as a product of its prime factors.

Show that any positive odd integer is of the form $4q+1$ or $4q+3,$ where $q$ is some integer.

Find the $LCM$ and $HCF$ of the following pairs of integers and verify that $LCM \times HCF =$ product of the two numbers $510$ and $92$.

Without actually performing the long division,state whether the following rational number will have a terminating decimal expansion or a non-terminating repeating decimal expansion: $\frac{6}{15}$

Express $140$ as a product of its prime factors.

Without actually performing the long division,state whether the following rational number will have a terminating decimal expansion or a non-terminating repeating decimal expansion: $\frac{29}{343}$.