The black background table shows nonzero exponents in powers of primes.

In the first row no exponents are shown because it corresponds to 1 as the result of multiplying primes raised to 0.

The second row corresponds to 2 as the result of 2^1 multiplied by other primes raised to 0.

The third row corresponds to 3 as the result of 3^1 multiplied by other primes raised to 0.

There are 200 rows corresponding to all the numbers from 1 to 200.

In the first column are shown the sequence of exponents to which raise 2 to get a factor suitable for the meaning of each row.

The second column shows the sequence of exponents to which raise 3 to get a factor suitable for the meaning of each row.

The third column shows the sequence of exponents to which raise 5 to get a factor suitable for the meaning of each row.

There are as many columns as distinct primes needed to get the factors of numbers from 1 to 200.

The table is not created by factoring numbers; instead it is created by an algorithm capable to generate the sequence of exponents in each column following a rule. (That implies "discovering on the fly" the primes needed to get bigger results gradually.)

The biggest exponent value represented is 7, in the first column at the row corresponding to 128 (2^7). So 7 colours are used to represent all the nonzero exponents...

To inspect a row use the cross hairs on the table and click.

In the first row no exponents are shown because it corresponds to 1 as the result of multiplying primes raised to 0.

The second row corresponds to 2 as the result of 2^1 multiplied by other primes raised to 0.

The third row corresponds to 3 as the result of 3^1 multiplied by other primes raised to 0.

There are 200 rows corresponding to all the numbers from 1 to 200.

In the first column are shown the sequence of exponents to which raise 2 to get a factor suitable for the meaning of each row.

The second column shows the sequence of exponents to which raise 3 to get a factor suitable for the meaning of each row.

The third column shows the sequence of exponents to which raise 5 to get a factor suitable for the meaning of each row.

There are as many columns as distinct primes needed to get the factors of numbers from 1 to 200.

The table is not created by factoring numbers; instead it is created by an algorithm capable to generate the sequence of exponents in each column following a rule. (That implies "discovering on the fly" the primes needed to get bigger results gradually.)

The biggest exponent value represented is 7, in the first column at the row corresponding to 128 (2^7). So 7 colours are used to represent all the nonzero exponents...

Colour | |||||||
---|---|---|---|---|---|---|---|

Value | 1 | 2 | 3 | 4 | 5 | 6 | 7 |

To inspect a row use the cross hairs on the table and click.

The numerical version of the table follows.