how do you factor 899?

Question

like

(30x+1)(30x-1)

then its 31and 29 ?!?!?

I don't really get it.

Answer 1

Note that 899 = (899 + 1) - 1 = 900 - 1. Since 900 is a perfect square, it can be factored as (30) (30) = (30)^2. Also, note that 1 is a perfect square. Then, we have the following:

899 = 900 - 1
= (30)^2 - 1
= [ 30 - 1 ] * [ 30 + 1 ] by factoring a difference of two squares
=(29)(31) by simplification.

So 29 and 31 are factors of 899.

Answer 2

For numbers as small as 899, trial division by primes up to its square root (2, 3, 5, 7, 11, 13, 17, 19, 23, 29) will suffice. Using more advanced algorithms would be an overkill.

Answer 3

899=29*31

Answer 4

First of all u need to identify the nearest square for the number.
i.e for 899, nearest square is 900 ok.
Then 899=900-1
=30^2-1^2
U know that a^2 - b^2 can be written as (a+b)(a-b)
so 899=(30+1)(30-1).

if ur satisfied with my answer, dont forget to mark me as best. bye.

Answer 5

yes it is this

899= 31*29

Answer 6

you can eliminate 2,3,4,5,6 by inspection. You only need to go up to 30 to check for factors