Q: What are the factor combinations of the number 20,021,345?

 A:
Positive:   1 x 200213455 x 400426919 x 105375573 x 27426595 x 210751365 x 548531387 x 144352887 x 6935
Negative: -1 x -20021345-5 x -4004269-19 x -1053755-73 x -274265-95 x -210751-365 x -54853-1387 x -14435-2887 x -6935


How do I find the factor combinations of the number 20,021,345?

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 20,021,345, 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 20,021,345
-1 -20,021,345

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 20,021,345.

Example:
1 x 20,021,345 = 20,021,345
and
-1 x -20,021,345 = 20,021,345
Notice both answers equal 20,021,345

With that explanation out of the way, let's continue. Next, we take the number 20,021,345 and divide it by 2:

20,021,345 ÷ 2 = 10,010,672.5

If the quotient is a whole number, then 2 and 10,010,672.5 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 20,021,345
-1 -20,021,345

Now, we try dividing 20,021,345 by 3:

20,021,345 ÷ 3 = 6,673,781.6667

If the quotient is a whole number, then 3 and 6,673,781.6667 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 20,021,345
-1 -20,021,345

Let's try dividing by 4:

20,021,345 ÷ 4 = 5,005,336.25

If the quotient is a whole number, then 4 and 5,005,336.25 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 20,021,345
-1 20,021,345
Keep dividing by the next highest number until you cannot divide anymore.

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

151973953651,3872,8876,93514,43554,853210,751274,2651,053,7554,004,26920,021,345
-1-5-19-73-95-365-1,387-2,887-6,935-14,435-54,853-210,751-274,265-1,053,755-4,004,269-20,021,345

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