Q: What are the factor combinations of the number 230,322,001?

 A:
Positive:   1 x 2303220017 x 3290314313 x 1771707717 x 1354835349 x 470044991 x 2531011119 x 1935479221 x 1042181637 x 361573833 x 2764971547 x 14888310829 x 21269
Negative: -1 x -230322001-7 x -32903143-13 x -17717077-17 x -13548353-49 x -4700449-91 x -2531011-119 x -1935479-221 x -1042181-637 x -361573-833 x -276497-1547 x -148883-10829 x -21269


How do I find the factor combinations of the number 230,322,001?

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 230,322,001, 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.

1 230,322,001
-1 -230,322,001

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 230,322,001.

Example:
1 x 230,322,001 = 230,322,001
and
-1 x -230,322,001 = 230,322,001
Notice both answers equal 230,322,001

With that explanation out of the way, let's continue. Next, we take the number 230,322,001 and divide it by 2:

230,322,001 ÷ 2 = 115,161,000.5

If the quotient is a whole number, then 2 and 115,161,000.5 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:

1 230,322,001
-1 -230,322,001

Now, we try dividing 230,322,001 by 3:

230,322,001 ÷ 3 = 76,774,000.3333

If the quotient is a whole number, then 3 and 76,774,000.3333 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:

1 230,322,001
-1 -230,322,001

Let's try dividing by 4:

230,322,001 ÷ 4 = 57,580,500.25

If the quotient is a whole number, then 4 and 57,580,500.25 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:

1 230,322,001
-1 230,322,001
Keep dividing by the next highest number until you cannot divide anymore.

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

17131749911192216378331,54710,82921,269148,883276,497361,5731,042,1811,935,4792,531,0114,700,44913,548,35317,717,07732,903,143230,322,001
-1-7-13-17-49-91-119-221-637-833-1,547-10,829-21,269-148,883-276,497-361,573-1,042,181-1,935,479-2,531,011-4,700,449-13,548,353-17,717,077-32,903,143-230,322,001

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