express 14641 as the product of its prime factors.
Answers
Answer:
11*11*11*11*11 plz plz mark me brainliest
Step-by-step explanation:
Answer: 14641 = 11 x 11 x 11 x 11
Step-by-step explanation:
First you have to see one by one whether it can be divided by the number or not.
1st prime number 2
Is it an even number?
No.
So, it can't be divided by 2.
2nd prime number 3
Is it's digital index 3, 6 or 9?
(Digital index is 1+4+6+4+1=16, 1+6=7)
No.
So, it can't be divided by 3.
3rd prime number 5
Is its last digit 5 or 0?
No.
So, it can't be divided by 5.
4th prime number 7
You just have to divide and see. It won't be divided.
5th prime number 11
If you divide 14641 by 11 you will get 1331.
So, its first prime number is 11.
Next you have to see by which prime number 1331 can be divided.
If you apply the previous steps for this number too you will find 1331 cannot be divide by2,3,5 or 7 and will be divided by 11.
So, its next prime factor is also 11.
If you divide 1331 by 11 you will get 121
Again if you apply the previous steps for this number too you will find 1331 cannot be divide by2,3,5 or 7 and will be divided by 11.
So, its third prime factor is also 11.
If you divide 121 by 11 you will get 11
As 11 is a prime number it can only be divided by 11.
So, its next prime factor is also 11.
So, we can express 14641 as the product of its prime factors as
14641 = 11 x 11 x 11 x 11
hope that it was understandable.
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