Q: What are the factor combinations of the number 231,210,115?

 A:
Positive:   1 x 2312101155 x 4624202317 x 1360059553 x 436245585 x 2720119265 x 872491289 x 800035901 x 2566151445 x 1600073019 x 765854505 x 5132315095 x 15317
Negative: -1 x -231210115-5 x -46242023-17 x -13600595-53 x -4362455-85 x -2720119-265 x -872491-289 x -800035-901 x -256615-1445 x -160007-3019 x -76585-4505 x -51323-15095 x -15317


How do I find the factor combinations of the number 231,210,115?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 231,210,115, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 231,210,115
-1 -231,210,115

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 231,210,115.

Example:
1 x 231,210,115 = 231,210,115
and
-1 x -231,210,115 = 231,210,115
Notice both answers equal 231,210,115

With that explanation out of the way, let's continue. Next, we take the number 231,210,115 and divide it by 2:

231,210,115 ÷ 2 = 115,605,057.5

If the quotient is a whole number, then 2 and 115,605,057.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 231,210,115
-1 -231,210,115

Now, we try dividing 231,210,115 by 3:

231,210,115 ÷ 3 = 77,070,038.3333

If the quotient is a whole number, then 3 and 77,070,038.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 231,210,115
-1 -231,210,115

Let's try dividing by 4:

231,210,115 ÷ 4 = 57,802,528.75

If the quotient is a whole number, then 4 and 57,802,528.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 231,210,115
-1 231,210,115
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

151753852652899011,4453,0194,50515,09515,31751,32376,585160,007256,615800,035872,4912,720,1194,362,45513,600,59546,242,023231,210,115
-1-5-17-53-85-265-289-901-1,445-3,019-4,505-15,095-15,317-51,323-76,585-160,007-256,615-800,035-872,491-2,720,119-4,362,455-13,600,595-46,242,023-231,210,115

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