+0

# Help!!! :)

0
54
1
+657

How many even perfect square factors does 2^4*7^9 have?

MIRB16  Apr 28, 2018

#1
+92441
+4

How many even perfect square factors does 2^4*7^9 have?

From the considerations below I  can see the answer is 10

$$7^2, \qquad 7^4, \qquad 7^6,\qquad 7^8 \qquad \text{none of these are even } \\~\\ \\ \text{all those below are even}\\ 2^2, \qquad 2^2*7^2, \qquad 2^2*7^4, \qquad 2^2*7^6,\qquad 2^2*7^8 \\ 2^4, \qquad 2^4*7^2, \qquad 2^4*7^4, \qquad 2^4*7^6,\qquad 2^4*7^8 \\$$

Melody  Apr 28, 2018
Sort:

#1
+92441
+4

How many even perfect square factors does 2^4*7^9 have?

From the considerations below I  can see the answer is 10

$$7^2, \qquad 7^4, \qquad 7^6,\qquad 7^8 \qquad \text{none of these are even } \\~\\ \\ \text{all those below are even}\\ 2^2, \qquad 2^2*7^2, \qquad 2^2*7^4, \qquad 2^2*7^6,\qquad 2^2*7^8 \\ 2^4, \qquad 2^4*7^2, \qquad 2^4*7^4, \qquad 2^4*7^6,\qquad 2^4*7^8 \\$$

Melody  Apr 28, 2018