Question

What four factors were used to make this product game board 9. 15 18. 21 ? 30 35. 36 42 49

Answer 1

The required four factors were used to make this product game board is 2, 3, 5 and 7.

Explanation:

Consider the provided numbers.

Now find the prime factorization of each number as shown.

`9= 3 * 3\\\\15=3* 5\\\\18= 2 * 3 * 3\\\\21= 3* 7\\\\30=2 * 3 * 5\\\\35=5 * 7\\\\36=2* 2* 3* 3\\\\42=2* 3* 7\\\\49=7* 7`

Now, consider above prime factorization there are 4 factors used to produce the numbers.

The four factors are 2, 3, 5 and 7.

Hence, the required four factors were used to make this product game board is 2, 3, 5 and 7.

Answer 2

First, let us factor each number into their prime factors:
9 = 3 x 3
15 = 3 x 5
18 = 2 x 3 x 3
21 = 3 x 7
30 = 2 x 3 x 5
35 = 5 x 7
36 = 2 x 2 x 3 x 3
42 = 2 x 3 x 7
49 = 7 x 7

The four factors that were used to come up with the product game are
2, 3, 5, and 7