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Anton [14]
2 years ago
7

20. What is the greatest prime factor of 3^7+6^6 ?

Mathematics
1 answer:
mario62 [17]2 years ago
3 0

Answer:

67

Step-by-step explanation:

3^7 = 2187

6^6 = 46656

46656+2187=48843

Prime factors of 48843: 3, 3, 3, 3, 3, 3, 67

Factor tree:

48843

| \  

16281   3

| \  

5427   3

| \  

1809   3

| \  

603   3

| \  

201   3

| \  

67   3

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Thank you!!
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Answer

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Step-by-step explanation:

The greatest common factor is the largest number that will divide both numbers evenly. As an example, 6 is a common factor because it divides both 60 and 36. However, it is not the greatest common factor.

 

If I break 60 into it's prime factors, I would get 2 * 2 * 3 * 5.

 

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The greatest common factor is then: 2 * 2 * 3, or 12.

 

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