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Since the sum of the digits $2+0+1+3=6$ is divisible by 3, 2013 is divisible by 3. Then, we see that $3\cdot 671=2013$ . Since $6-7+1=0$ , 671 is divisible by 11. We see that $3\cdot 11\cdot 61=2013$ . Since 61 is prime, the answer is $\boxed{61}$ .

prime factor of 2013

2013/3=671

671/11=61

thus the prime factor of 2013 is 3 * 11 * 61

and the greatest prime factor of 2013 is 61 that's the answer.

We check for divisibility in order of ascending prime numbers:

2013 is odd, hence not divisible by 2

Sum of digits of 2013 is 6. Dividing 2013 by 3, we get, 671

671 is not divisible by 2, 3-using sum of digits, 5 (does not end in 0 or 5) or 7 (long division) It is divisible by 11.

671 / 11 = 61. 61 is a prime number and is the largest factor.

Factor out 2013 completely: 3x11x61 Among the 3 prime factors, 61 has the highest value. Hence, the greatest prime factor of 2013 is 61.

2013 = 3 x 11 x 61 where 61 is the greatest than 11 and 3

2013 = $3 \times 11 \times 61$

write the following python code to get factors of 2013:

n=2013 for i in range(1,n+1): if n/i in range(1,n+1): print(i)

you will get the following output:

1 3 11 33 61 183 671 2013

now take each output value and plug it in 'n' of the following code to see if we get 2 factors or not:

n= for i in range(1,n+1): if n/i in range(1,n+1): print(i)

if we get only 2 outputs than the number is prime and consider only the highest prime number as answer.

2013 = 3 x 11 x 61 Therefore, 61 is the greatest prime factor of 2013

2013/3=671 671/11=61

2013/3=671 671/11=61 answer=61

since the sum of the digits is 6 it is divisible by 3 which gives 671 as the other factor. Using the divisibility test for 11, the other factor gives 61.

2013 = 3 x 11 x 61

Ans: 61

2013/3=671 671/11=61 answer=61 why? check this https://www.google.com.ph/search?q=how+to+get+a+prime+factor&source=lnms&tbm=isch&sa=X&ei=YNqVUtvLO-aeiAfTmYHACA&sqi=2&ved=0CAcQ AUoAQ&biw=1280&bih=642#facrc= &imgdii=_&imgrc=WnGIkilfUNSqaM%3A%3BC7GMg--rdcUcXM%3Bhttp%253A%252F%252Fsylviateacher.files.wordpress.com%252F2013%252F06%252Fprimes.jpg%3Bhttp%253A%252F%252Fsylviateacher.com%252F2013%252F06%252F12%252Fh-m-s-geometry-all-aboard%252F%3B1024%3B768

I did a factor tree for 2013. 671 times 3 is 2013. So I figured out 671 is not a prime number so 11 times 61= 671. 11 is a prime number and 61 is a prime number because I divided 61 by a bunch of numbers and it came out in decimals, not a whole number. So the greatest prime factor is 61

$2013 = 3 \times 671$ Then $2013 = 3 \times 11 \times 61$ 61 is a prime

Then 61 is the largest prime factor of 2013

I recommend decompose 2103 in its multiple 3 x 11x 61 Example: 2013 divided by 3 = 671 divided by 11 = 61 them, 3 x 11 x 61 is 2013. thus greatest prime factor of 2013 is 61

2013=3 11 61

so the greatest prime factor = 61