Prime numbers don't factorize; they're already prime.
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what are the problems associated with the construction of index numbers
Ordinary notation is where the numbers are laid, or written out. Scientific notation is a short handed version with numbers that indicate the amount of zeroes behind the end of the numbers.
225 = 32*52
Index notation for 125 = 1.25 × 102
In mathematics and computer programming, Index notation is used to specify the elements of an array of numbers. The terms "index notation", or "indicial notation" are sometimes used to refer to Einstein notation. The formalism of how indices are used varies according to the subject. In particular, there are different methods for referring to the elements of a list, a vector, or a matrix, depending on whether one is writing a formal mathematical paper for publication, or when one is writing a computer program. This is not to be confused with "index form" which is the writing of prime factorizations using exponents.
In expanded index notation, 1344 can be expressed as (1.344 \times 10^3). This means that the number 1344 is equivalent to 1.344 multiplied by 10 raised to the power of 3. Expanded index notation is a way to represent numbers in scientific notation, making it easier to work with very large or very small numbers.
Prime numbers don't factorize; they're already prime.
In mathematics and computer programming, Index notation is used to specify the elements of an array of numbers. The terms "index notation", or "indicial notation" are sometimes used to refer to Einstein notation. The formalism of how indices are used varies according to the subject. In particular, there are different methods for referring to the elements of a list, a vector, or a matrix, depending on whether one is writing a formal mathematical paper for publication, or when one is writing a computer program. This is not to be confused with "index form" which is the writing of prime factorizations using exponents.
2 x 3 x 72 = 294 is the index form. Index notation refers to higher mathematics and computer programming.
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In index form, that would be 64
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Neither.
The answer depends on what the wave length is in ordinary numbers! For example, radio waves can have a wavelength of 1 metre: in scientific notation, that is 1!