Q: What are the factor combinations of the number 23,032,529?

 A:
Positive:   1 x 2303252913 x 177173341 x 56176979 x 291551533 x 43213547 x 421071027 x 224273239 x 7111
Negative: -1 x -23032529-13 x -1771733-41 x -561769-79 x -291551-533 x -43213-547 x -42107-1027 x -22427-3239 x -7111


How do I find the factor combinations of the number 23,032,529?

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 23,032,529, 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 23,032,529
-1 -23,032,529

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 23,032,529.

Example:
1 x 23,032,529 = 23,032,529
and
-1 x -23,032,529 = 23,032,529
Notice both answers equal 23,032,529

With that explanation out of the way, let's continue. Next, we take the number 23,032,529 and divide it by 2:

23,032,529 ÷ 2 = 11,516,264.5

If the quotient is a whole number, then 2 and 11,516,264.5 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 23,032,529
-1 -23,032,529

Now, we try dividing 23,032,529 by 3:

23,032,529 ÷ 3 = 7,677,509.6667

If the quotient is a whole number, then 3 and 7,677,509.6667 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 23,032,529
-1 -23,032,529

Let's try dividing by 4:

23,032,529 ÷ 4 = 5,758,132.25

If the quotient is a whole number, then 4 and 5,758,132.25 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 23,032,529
-1 23,032,529
Keep dividing by the next highest number until you cannot divide anymore.

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

11341795335471,0273,2397,11122,42742,10743,213291,551561,7691,771,73323,032,529
-1-13-41-79-533-547-1,027-3,239-7,111-22,427-42,107-43,213-291,551-561,769-1,771,733-23,032,529

More Examples

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