Primes and prime factors

Prime numbers have no factors other than themselves and 1. e.g. 7 = 1 x 7
Other numbers can be reduced in only one way to their prime factors. e.g. 6 = 2 x 3, 8 = 2 x 2 x 2
These pictures show the numbers from 2 up, arranged into their prime factors, using various sized rows to bring out different features. The logarithm of the heights is used, otherwise the later rows would be vastly taller than the earlier ones.

Primes and prime factors up to 431, 72 = 3 x 3 x 2 x 2 x 2 to a row.

prime factors to 431

prime factors to 431 pic

Up to 319

prime factors to 319 pic

Up to 839
prime facs to 839 - labelled from 11 up
Up to 839
prime facs to 839 - II
Up to 839, 60 per row
prime facs to 839 - 60 per row
Up to 719
prime facs to 719
Up to 719
prime facs to 719 - part lab
Up to 503
prime facs to 503
Up to 503
prime facs to 503 unlabelled
Rows of 70 = 2 x 5 x 7
pf - rows of 70 - 2x5x7
Up to 2519, 210 to a row. This and the next have primes in white, everything else grayed out.
pf - rows of 210 - to 2519
Up to 1889, rows of 210 = 2 x 3 x 5 x 7. This uses a log log for height, so the primes appear shorter than composite numbers.
pf - rows of 210 - to 1889

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