Question

Prime factorization of 572

Answer 1

First notice that 572 is an even number, then:

`(572)/(2)=286`

286 is an even number too, then:

`(286)/(2)=143`

now, a number is divisible by 11 if the digits that are on the even position minus the digits that are on the odds positions equals 0 or a multiple of 11, in this case we have 4-(3+1)=4-4=0, then 143 is divisible by 11:

`(143)/(11)=13`

since 13 is a prime number, the prime factorization of 572 is:

`572=2\cdot2\cdot11\cdot13=2^2\cdot11\cdot13`