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apologiabiology
one way is to factor
44*12=2*2*11*2*2*3
lucky us, ther is only a 11 as the biggest factor
we know that x*11=x*10+x*1 so multiply the non11 terms

2*2*2*2*3=4*4*3=12*4=48
now we have
48*11
48*11=48*10+48*1=480+48=528