Q: What are the factor combinations of the number 231,765,335?

 A:
Positive:   1 x 2317653355 x 4635306717 x 1363325585 x 27266511399 x 1656651949 x 1189156995 x 331339745 x 23783
Negative: -1 x -231765335-5 x -46353067-17 x -13633255-85 x -2726651-1399 x -165665-1949 x -118915-6995 x -33133-9745 x -23783


How do I find the factor combinations of the number 231,765,335?

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 231,765,335, 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.

1 231,765,335
-1 -231,765,335

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 231,765,335.

Example:
1 x 231,765,335 = 231,765,335
and
-1 x -231,765,335 = 231,765,335
Notice both answers equal 231,765,335

With that explanation out of the way, let's continue. Next, we take the number 231,765,335 and divide it by 2:

231,765,335 ÷ 2 = 115,882,667.5

If the quotient is a whole number, then 2 and 115,882,667.5 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:

1 231,765,335
-1 -231,765,335

Now, we try dividing 231,765,335 by 3:

231,765,335 ÷ 3 = 77,255,111.6667

If the quotient is a whole number, then 3 and 77,255,111.6667 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:

1 231,765,335
-1 -231,765,335

Let's try dividing by 4:

231,765,335 ÷ 4 = 57,941,333.75

If the quotient is a whole number, then 4 and 57,941,333.75 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:

1 231,765,335
-1 231,765,335
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851,3991,9496,9959,74523,78333,133118,915165,6652,726,65113,633,25546,353,067231,765,335
-1-5-17-85-1,399-1,949-6,995-9,745-23,783-33,133-118,915-165,665-2,726,651-13,633,255-46,353,067-231,765,335

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