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how to factorization 2310? plizz help me

 May 12, 2014

Best Answer 

 #3
avatar+33654 
+8

To be "technically" correct, I suppose it should be included!!

Not if we are talking prime factors only. The number 1 is no longer considered to be a prime number (hasn't been since the end of the 19th century) - that's why the factorize keyword doesn't list it!

If we are talking about all factors of 2310, then 1 is included, as is 2310 itself, and all the other numbers (combinations of the prime factors) that divide 2310 exactly, such as 6, 10, 14, 22, 15, ...etc.

 May 12, 2014
 #1
avatar+33654 
+5

Use the keyword factorize here:

factorize(2310){235711}

This gives you the prime factors.

 May 12, 2014
 #2
avatar+130466 
+8

Let me add a little to Alan's answer.....Specifically....how do we arrive at those numbers??

Note we can write 2310 as

231 * 10  =

231 * 5 * 2       And there's a number theory property that says that if we can add the digits of a number, and that sum is divisible by three, then the number is divisible by three. So 231 = 2 + 3 + 1 = 6, and that's divisible by three. So, 231 is divisible by three. So we have

77 * 3 * 5 * 2 =

11 * 7 *3 * 5 * 2

Some answerers on here would also include "1" as a factor, but since "1" is a factor of any number, I usually don't include it.  But, if you want to throw it into the mix, be my guest. To be "technically" correct, I suppose it should be included!!

 May 12, 2014
 #3
avatar+33654 
+8
Best Answer

To be "technically" correct, I suppose it should be included!!

Not if we are talking prime factors only. The number 1 is no longer considered to be a prime number (hasn't been since the end of the 19th century) - that's why the factorize keyword doesn't list it!

If we are talking about all factors of 2310, then 1 is included, as is 2310 itself, and all the other numbers (combinations of the prime factors) that divide 2310 exactly, such as 6, 10, 14, 22, 15, ...etc.

Alan May 12, 2014

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