# A factorization question

**Number Theory**Level 2

Let \(N\) be a positive integer ending in 9 such that \(N < 50000\).

Let \(a\) and \( b\) be positive integers such that \(a \times b = N\) and a > b.

Let \(c\) and \(d\) be positive integers such that \(c \times d = 2N\) and \(c > d\).

Is it possible to find a value of \(N\) such that it meets the specifications of \( \dfrac ab < 1.25\) and \( \dfrac cd < 1.02\)?