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Question

Question
(1 point)
Sam used a grid to multiply. He got the product of 150. What kind of grid could Sam have used?

Choose the correct numbers to complete the statement.

Sam's grid could have
Choose
rows of
Choose
squares to show the product of 150.

Remaining Attempts : 3
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Answer 1

To determine what kind of grid Sam could have used to multiply and obtain the product of 150, we need to find factors of 150 that can represent the rows and columns of a grid.

The prime factorization of 150 is: \[ 150 = 2 \times 3 \times 5^2 \]

This means that 150 can be expressed as the product of different pairs of factors. Here are some factor pairs for 150:

1. 1 and 150
2. 2 and 75
3. 3 and 50
4. 5 and 30
5. 6 and 25
6. 10 and 15

Now, based on these pairs, Sam's grid could thus be described as:

• 1 row of 150 squares
• 5 rows of 30 squares
• 3 rows of 50 squares
• 10 rows of 15 squares

So, you could fill in the blanks as follows based on a pair you choose. For example:

"Sam's grid could have 10 rows of 15 squares to show the product of 150."

You can choose any of the pairs mentioned above to complete the statement.