Question

please help and solve it for me​

Answer 1

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You (try to) divide your number by successive primes #2,3,5,7,11...#

Example :

Say you want to factor #756#

Even number, divide by 2: #756=2*378#

Even, divide by 2: #756=2*2*189#

Odd, so try 3: #756=2*2*3*63#

And again: #756=2*2*3*3*21#

And again: #756=2*2*3*3*3*7#

7 is a prime, so you're finished.

You write the result as #756=2^2*3^3*7#

Remark :

You never have to try a prime that is larger than the square root of the number left, because if that would divide evenly, the result is a smaller number, and you would have already tried that.

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