sakethram5261
sakethram5261 sakethram5261
  • 28-02-2021
  • Mathematics
contestada

Express 432 as a product of powers of its prime factors.

Respuesta :

jackiezhang2007
jackiezhang2007 jackiezhang2007
  • 28-02-2021

We can see easily this is an even number, so let's first divide by 2.

432=2*216

We can see the remaining 216 is still even so we continue.

432=2*2*108

And continue

432=2*2*2*54

and continue

432=2*2*2*2*27

Now we can see that 27 is a multiple of 3 in fact its 3^3.

So we can conclude that 432=[tex]2^4*3^3[/tex]

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