Q: What are the factor combinations of the number 32,310,013?

 A:
Positive:   1 x 3231001317 x 190058919 x 170052767 x 482239323 x 1000311139 x 283671273 x 253811493 x 21641
Negative: -1 x -32310013-17 x -1900589-19 x -1700527-67 x -482239-323 x -100031-1139 x -28367-1273 x -25381-1493 x -21641


How do I find the factor combinations of the number 32,310,013?

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 32,310,013, 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 32,310,013
-1 -32,310,013

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 32,310,013.

Example:
1 x 32,310,013 = 32,310,013
and
-1 x -32,310,013 = 32,310,013
Notice both answers equal 32,310,013

With that explanation out of the way, let's continue. Next, we take the number 32,310,013 and divide it by 2:

32,310,013 ÷ 2 = 16,155,006.5

If the quotient is a whole number, then 2 and 16,155,006.5 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 32,310,013
-1 -32,310,013

Now, we try dividing 32,310,013 by 3:

32,310,013 ÷ 3 = 10,770,004.3333

If the quotient is a whole number, then 3 and 10,770,004.3333 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 32,310,013
-1 -32,310,013

Let's try dividing by 4:

32,310,013 ÷ 4 = 8,077,503.25

If the quotient is a whole number, then 4 and 8,077,503.25 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 32,310,013
-1 32,310,013
Keep dividing by the next highest number until you cannot divide anymore.

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

11719673231,1391,2731,49321,64125,38128,367100,031482,2391,700,5271,900,58932,310,013
-1-17-19-67-323-1,139-1,273-1,493-21,641-25,381-28,367-100,031-482,239-1,700,527-1,900,589-32,310,013

More Examples

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