Factors of 99
by Lily, Aug 07 2023
Hey there, young mathematicians! Today, we're going on a journey to explore the factors of the number 99 – those special numbers that can divide 99 evenly without leaving any leftovers.
How to Find Factors of 99?
Factors of 99 are like puzzle pieces that can fit perfectly into 99. Let's find them together!
- Step 1: Let's start with the smallest number, which is 1. When we divide 99 by 1, we get 99 itself. So, 1 is a factor.
- Step 2: Now, we'll keep going and try dividing 99 by the next natural number, which is 2. But, uh-oh, 99 ÷ 2 is not a whole number – it leaves a remainder. So, 2 is not a factor.
- Step 3: Let's move on to the number 3. Yes, it works! 99 ÷ 3 is a whole number, and we get 33. So, 3 is a factor.
- Step 4: We keep going! How about 4? Nope, 99 ÷ 4 doesn't give us a whole number, so 4 is not a factor.
- Step 5: Let's try 5. Nope, not a factor either.
- Step 6: How about 6? Nope, not a factor.
- Step 7: Now, we try 7. Yes! 99 ÷ 7 is a whole number, and we get 14. So, 7 is a factor.
- Step 8: We keep going and try 8. Nope, not a factor.
- Step 9: How about 9? Yes! 99 ÷ 9 is a whole number, and we get 11. So, 9 is a factor.
- Step 10: Finally, we try 10. Nope, not a factor.
So, the factors of 99 are 1, 3, 9, 11, 33, and 99.
Pair Factors of 99
Now, let's pair up these factors! When we multiply some of these factors together, we get 99.
Let's see:
- 1 × 99 = 99
- 3 × 33 = 99
- 9 × 11 = 99
We found the pairs too!
Is 99 a Prime Number?
By the way, did you know that 99 is not a prime number? It has more than two factors, which makes it a composite number. Prime numbers have only two factors – themselves and 1.
Conclusion
Factors of 99 are numbers that can divide 99 evenly without leftovers. The factors of 99 are 1, 3, 9, 11, 33, and 99. It's not a prime number because it has more than two factors. Knowing factors helps in dividing things equally and solving math problems.