Question
List the factors for the following numbers. \( \begin{array}{ll}\text { a. } 72 & \text { b. } 49\end{array} \)
Ask by Summers Rose. in South Africa
Mar 14,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
**Factors:**
- **72:** 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
- **49:** 1, 7, 49
Solution
It seems that I cannot directly factor the numbers 72 and 49 using the tool. However, I can provide the factors manually.
### a. Factors of 72
To find the factors of 72, we can list all the pairs of numbers that multiply to give 72:
1. \(1 \times 72\)
2. \(2 \times 36\)
3. \(3 \times 24\)
4. \(4 \times 18\)
5. \(6 \times 12\)
6. \(8 \times 9\)
Thus, the complete list of factors of 72 is:
\[ 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 \]
### b. Factors of 49
For 49, we can do the same:
1. \(1 \times 49\)
2. \(7 \times 7\)
Thus, the complete list of factors of 49 is:
\[ 1, 7, 49 \]
### Summary
- Factors of 72: \( 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 \)
- Factors of 49: \( 1, 7, 49 \)
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Mind Expander
For the number 72, its factors are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. It's like a big pizza cut into many slices! You can share it with a group in so many ways! As for 49, it has only four factors: 1, 7, 49. This number is unique because it is a perfect square, being \(7 \times 7\). So think of 49 as a square garden, where each side measures 7 units!