Determine All Factors of the Number 18

Write all the factors of the following number: 18 18

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Step-by-step video solution

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00:00 Find all the prime factors of the number
00:05 The ones digit is 8, therefore 2 is definitely a prime factor
00:09 Divide by 2, and continue with the result to find the factors
00:13 The ones digit is 9, therefore 3 is definitely a prime factor
00:16 Divide by 3, and continue with the result to find the factors
00:20 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: 18 18

2

Step-by-step solution

To solve this problem, we'll use prime factorization:

  • Step 1: Begin by dividing 18 by 2, the smallest prime number. 18÷2=9 18 \div 2 = 9 . Therefore, 2 is a factor.

  • Step 2: Now factor 9, which is the result from the previous division. The smallest prime factor of 9 is 3, since 9÷3=3 9 \div 3 = 3 . Thus, 3 is a factor.

  • Step 3: Continue with the result from step 2. Divide 3 by 3 (since 3÷3=1 3 \div 3 = 1 ). Another 3 is a factor.

  • Step 4: The final division of 1 means we have completely factorized the number.

In conclusion, the prime factors of 18 are 2,3,3 2, 3, 3 . Our factorization shows that the correct answer choice corresponds to: 2,3,3 2, 3, 3 .

3

Final Answer

2,3,3 2,3,3

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

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