Fill in the blanks from the smallest number to the greatest number.16 is a common multiple of a few numbers smaller than 10.They are 1, ,  and .Submit Answer

To solve the problem systematically, let's break it down into steps.

1. Break Down the Problem

We need to identify all numbers smaller than 10 that can multiply to yield 16 as a common multiple. Thus, we are looking for factors of 16 that are less than 10.

2. Relevant Concepts

A common multiple of numbers is obtained from the multiplication of those numbers. For this case, we will find factors of 16, which can be expressed as: $16 = 2^4 = 1 \times 16, \quad 2 \times 8, \quad 4 \times 4$ The factors of 16 are: 1, 2, 4, 8, and 16.

3. Analysis and Detail

We will list the factors of 16 that are less than 10:

• 1 (since $1 \times 16 = 16$)
• 2 (since $2 \times 8 = 16$)
• 4 (since $4 \times 4 = 16$)
• 8 (since $2 \times 8 = 16$)

The factors that are smaller than 10 are: 1, 2, 4, and 8.

4. Verify and Summarize

All identified numbers fit the criteria of being less than 10 and are indeed factors of 16. Since we need them in increasing order, we have:

1. 1
2. 2
3. 4
4. 8

Final Answer

The numbers are: 1, 2, 4, 8.