Discover the Factors of 16: A Fundamental Math Exercise

Write all the factors of the following number: 16 16

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Step-by-step video solution

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00:00 Find all prime factors of the number
00:04 The ones digit is 6, therefore 2 is definitely a prime factor
00:08 Divide by 2, and continue with the result to find the factors
00:12 The ones digit is 8, therefore 2 is definitely a prime factor
00:15 Divide by 2, and continue with the result to find the factors
00:19 The ones digit is 4, therefore 2 is definitely a prime factor
00:22 Divide by 2, and continue with the result to find the factors
00:25 The result is a prime number, therefore it's a factor by itself
00:29 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Write all the factors of the following number: 16 16

2

Step-by-step solution

To solve this problem, we will follow the prime factorization approach:

  • Step 1: Start with the smallest prime number, which is 2.
  • Step 2: Divide 16 by 2 to get 8. Thus, 28=162 \cdot 8 = 16.
  • Step 3: Divide 8 by 2 to get 4. Thus, 24=82 \cdot 4 = 8.
  • Step 4: Divide 4 by 2 to get 2. Thus, 22=42 \cdot 2 = 4.
  • Step 5: Divide 2 by 2 to get 1. Thus, 21=22 \cdot 1 = 2.

After performing all divisions, the complete list of prime factors becomes 2,2,2,22, 2, 2, 2.

Therefore, the prime factors of 16 are all twos: 2,2,2,22, 2, 2, 2.

Finally, based on the available choices, the correct choice is:

2,2,2,2 2, 2, 2, 2 .

3

Final Answer

2,2,2,2 2,2,2,2

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Write all the factors of the following number: \( 5 \)

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