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if you want different factors you would multiply primes together thus

2x3x5x7=210

but if you wanted 2 to be a repeated factor

2 a =500

take logs

aln2=ln500

a=ln500/ln2

a=6.2/0.7=8.8

2 9 = 512

2 8 = 256

256 has factor 2, 8 times

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