Question: How many factors does the number 36 have?
Options:
6
8
9
12
Correct Answer: 8
Solution:
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36, totaling 9 factors.
How many factors does the number 36 have?
Practice Questions
Q1
How many factors does the number 36 have?
6
8
9
12
Questions & Step-by-Step Solutions
How many factors does the number 36 have?
Step 1: Understand what a factor is. A factor of a number is a whole number that can be multiplied by another whole number to get that number.
Step 2: Start with the number 1 and check if it is a factor of 36. Since 1 x 36 = 36, 1 is a factor.
Step 3: Check the next whole number, which is 2. Since 2 x 18 = 36, 2 is a factor.
Step 4: Check the next whole number, which is 3. Since 3 x 12 = 36, 3 is a factor.
Step 5: Check the next whole number, which is 4. Since 4 x 9 = 36, 4 is a factor.
Step 6: Check the next whole number, which is 5. Since 5 does not divide 36 evenly, it is not a factor.
Step 7: Check the next whole number, which is 6. Since 6 x 6 = 36, 6 is a factor.
Step 8: Check the next whole number, which is 7. Since 7 does not divide 36 evenly, it is not a factor.
Step 9: Check the next whole number, which is 8. Since 8 does not divide 36 evenly, it is not a factor.
Step 10: Check the next whole number, which is 9. Since 9 x 4 = 36, 9 is a factor.
Step 11: Check the next whole number, which is 10. Since 10 does not divide 36 evenly, it is not a factor.
Step 12: Check the next whole number, which is 11. Since 11 does not divide 36 evenly, it is not a factor.
Step 13: Check the next whole number, which is 12. Since 12 x 3 = 36, 12 is a factor.
Step 14: Check the next whole number, which is 13. Since 13 does not divide 36 evenly, it is not a factor.
Step 15: Check the next whole number, which is 14. Since 14 does not divide 36 evenly, it is not a factor.
Step 16: Check the next whole number, which is 15. Since 15 does not divide 36 evenly, it is not a factor.
Step 17: Check the next whole number, which is 16. Since 16 does not divide 36 evenly, it is not a factor.
Step 18: Check the next whole number, which is 17. Since 17 does not divide 36 evenly, it is not a factor.
Step 19: Check the next whole number, which is 18. Since 18 x 2 = 36, 18 is a factor.
Step 20: Check the next whole number, which is 19. Since 19 does not divide 36 evenly, it is not a factor.
Step 21: Check the next whole number, which is 20. Since 20 does not divide 36 evenly, it is not a factor.
Step 22: Check the next whole number, which is 21. Since 21 does not divide 36 evenly, it is not a factor.
Step 23: Check the next whole number, which is 22. Since 22 does not divide 36 evenly, it is not a factor.
Step 24: Check the next whole number, which is 23. Since 23 does not divide 36 evenly, it is not a factor.
Step 25: Check the next whole number, which is 24. Since 24 does not divide 36 evenly, it is not a factor.
Step 26: Check the next whole number, which is 25. Since 25 does not divide 36 evenly, it is not a factor.
Step 27: Check the next whole number, which is 26. Since 26 does not divide 36 evenly, it is not a factor.
Step 28: Check the next whole number, which is 27. Since 27 does not divide 36 evenly, it is not a factor.
Step 29: Check the next whole number, which is 28. Since 28 does not divide 36 evenly, it is not a factor.
Step 30: Check the next whole number, which is 29. Since 29 does not divide 36 evenly, it is not a factor.
Step 31: Check the next whole number, which is 30. Since 30 does not divide 36 evenly, it is not a factor.
Step 32: Check the next whole number, which is 31. Since 31 does not divide 36 evenly, it is not a factor.
Step 33: Check the next whole number, which is 32. Since 32 does not divide 36 evenly, it is not a factor.
Step 34: Check the next whole number, which is 33. Since 33 does not divide 36 evenly, it is not a factor.
Step 35: Check the next whole number, which is 34. Since 34 does not divide 36 evenly, it is not a factor.
Step 36: Check the next whole number, which is 35. Since 35 does not divide 36 evenly, it is not a factor.
Step 37: Check the next whole number, which is 36. Since 36 x 1 = 36, 36 is a factor.
Step 38: List all the factors found: 1, 2, 3, 4, 6, 9, 12, 18, 36.
Step 39: Count the total number of factors: There are 9 factors.
Factors of a Number – Factors are the integers that can be multiplied together to produce the original number. For example, the factors of 36 are all the integers that divide 36 without leaving a remainder.
Counting Factors – To find the total number of factors, one can list all the pairs of integers that multiply to the number or use the prime factorization method.
Soulshift Feedback×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy?
