Find the Factors: Discovering All Divisors of 9

Question

Write all the factors of the following number: 9 9

Video Solution

Step-by-Step Solution

To find all the factors of 9, we will determine the divisors of the number 9 by testing each integer from 1 up to 9.

  • Step 1: Test if 1 is a factor of 9. Since 9÷1=9 9 \div 1 = 9 , 1 is a factor.
  • Step 2: Test if 2 is a factor of 9. Since 9÷2=4.5 9 \div 2 = 4.5 (not an integer), 2 is not a factor.
  • Step 3: Test if 3 is a factor of 9. Since 9÷3=3 9 \div 3 = 3 , 3 is a factor.
  • Step 4: Test if 4 is a factor of 9. Since 9÷4=2.25 9 \div 4 = 2.25 (not an integer), 4 is not a factor.
  • Step 5: Test if 5 is a factor of 9. Since 9÷5=1.8 9 \div 5 = 1.8 (not an integer), 5 is not a factor.
  • Step 6: Test if 6 is a factor of 9. Since 9÷6=1.5 9 \div 6 = 1.5 (not an integer), 6 is not a factor.
  • Step 7: Test if 7 is a factor of 9. Since 9÷71.2857 9 \div 7 \approx 1.2857 (not an integer), 7 is not a factor.
  • Step 8: Test if 8 is a factor of 9. Since 9÷8=1.125 9 \div 8 = 1.125 (not an integer), 8 is not a factor.
  • Step 9: Test if 9 is a factor of 9. Since 9÷9=1 9 \div 9 = 1 , 9 is a factor.

The factors of 9 are 1, 3, and 9.

However, the problem might specifically be asking for the prime factorization where the number 9 decomposes into 3×3 3 \times 3 .

Therefore, the correct answer which matches the provided choices is 3,3 3, 3 .

Answer

3,3 3,3