Q: What are the factor combinations of the number 23,143,273?

 A:
Positive:   1 x 2314327317 x 136136919 x 1218067137 x 168929323 x 71651523 x 442512329 x 99372603 x 8891
Negative: -1 x -23143273-17 x -1361369-19 x -1218067-137 x -168929-323 x -71651-523 x -44251-2329 x -9937-2603 x -8891


How do I find the factor combinations of the number 23,143,273?

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 23,143,273, 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 23,143,273
-1 -23,143,273

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 23,143,273.

Example:
1 x 23,143,273 = 23,143,273
and
-1 x -23,143,273 = 23,143,273
Notice both answers equal 23,143,273

With that explanation out of the way, let's continue. Next, we take the number 23,143,273 and divide it by 2:

23,143,273 ÷ 2 = 11,571,636.5

If the quotient is a whole number, then 2 and 11,571,636.5 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 23,143,273
-1 -23,143,273

Now, we try dividing 23,143,273 by 3:

23,143,273 ÷ 3 = 7,714,424.3333

If the quotient is a whole number, then 3 and 7,714,424.3333 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 23,143,273
-1 -23,143,273

Let's try dividing by 4:

23,143,273 ÷ 4 = 5,785,818.25

If the quotient is a whole number, then 4 and 5,785,818.25 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 23,143,273
-1 23,143,273
Keep dividing by the next highest number until you cannot divide anymore.

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

117191373235232,3292,6038,8919,93744,25171,651168,9291,218,0671,361,36923,143,273
-1-17-19-137-323-523-2,329-2,603-8,891-9,937-44,251-71,651-168,929-1,218,067-1,361,369-23,143,273

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