Question

How many perfect squares are factors of 2*4*6*8*10*12?

Answer 1

start by writing it in prime factorization form

Answer 2

@mathmath333 might like this problem

Answer 3

refer to the first comment

Answer 4

2^10*3^2*5^1

Answer 5

Ok, now what?

Answer 6

Consider a factor of that number

for it to be a perfect square, it can have :
0, 2, 4, 6, 8, 10 in the exponent of 2 : 6 ways
0, 2 in the exponent of 3 : 2 ways
0 in the exponent of 5 : 1 way

so there are 6*2*1 = 12 factors that are perfect squares

Answer 7

So, the answer is 12?

Answer 8

looks like it !

Answer 9

Ok! it is right! Thanks!

Answer 10

yaay! did you get how it is 12 ?