Factors Of 432

432 What are the many positive numerical factors of perfect squares? 3

Explain when you have the answer. Thanks in advance!

To obtain factor 432. find.

432

1 * 432

2 * 216

3 * 144

4 * 108

6 * 72

8 * 54

9 * 48

12 * 36

16 * 27

18 * 24

Now name the factors that are perfect squares.

1, 4, 9, 16, 36 and 144

Note that in a perfect square, every major power factor must be a perfect square. This is an app to make sure you don't miss out. There is no need to list and review all the factors.

The first factor in the prime number is 432.

432 = 16x27 = 2 4 3 3

Each factor of 432 contains 1 of the following two lines:

1 * 2 4 * 8 16 *

1 * 39 * 27

* Is a square. Row 1 to 3 square and row 2 to 2. This gives 3 x 2 = 6 possible factors that are perfect squares. They:

1x1 = 1

1x9 = 9

4x1 = 4

4x9 = 36

16x1 = 16

16 x 9 = 144

432 = (16) (27)

= (4 2) (3 3)

= (2 4) (3 3)

= (2 2) (2 2) (3 2) (3)

= (1 2) (2 2) (2 2) (3 2) (3)

Therefore, its perfect square factors 1, 4, 9, 16, 36, and 144 are for a total of six positive perfect square factors. Note: Nos. 16, 36, and 144 are the product of the perfect square element, because the unit of square is square.