Q: What are the factor combinations of the number 21,023,057?

 A:
Positive:   1 x 2102305711 x 191118729 x 72493359 x 356323319 x 65903649 x 323931117 x 188211711 x 12287
Negative: -1 x -21023057-11 x -1911187-29 x -724933-59 x -356323-319 x -65903-649 x -32393-1117 x -18821-1711 x -12287


How do I find the factor combinations of the number 21,023,057?

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 21,023,057, 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 21,023,057
-1 -21,023,057

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 21,023,057.

Example:
1 x 21,023,057 = 21,023,057
and
-1 x -21,023,057 = 21,023,057
Notice both answers equal 21,023,057

With that explanation out of the way, let's continue. Next, we take the number 21,023,057 and divide it by 2:

21,023,057 ÷ 2 = 10,511,528.5

If the quotient is a whole number, then 2 and 10,511,528.5 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 21,023,057
-1 -21,023,057

Now, we try dividing 21,023,057 by 3:

21,023,057 ÷ 3 = 7,007,685.6667

If the quotient is a whole number, then 3 and 7,007,685.6667 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 21,023,057
-1 -21,023,057

Let's try dividing by 4:

21,023,057 ÷ 4 = 5,255,764.25

If the quotient is a whole number, then 4 and 5,255,764.25 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 21,023,057
-1 21,023,057
Keep dividing by the next highest number until you cannot divide anymore.

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

11129593196491,1171,71112,28718,82132,39365,903356,323724,9331,911,18721,023,057
-1-11-29-59-319-649-1,117-1,711-12,287-18,821-32,393-65,903-356,323-724,933-1,911,187-21,023,057

More Examples

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