Q: What are the factor combinations of the number 20,415,745?

 A:
Positive:   1 x 204157455 x 40831497 x 291653535 x 58330741 x 497945205 x 99589287 x 71135347 x 588351435 x 142271681 x 121451735 x 117672429 x 8405
Negative: -1 x -20415745-5 x -4083149-7 x -2916535-35 x -583307-41 x -497945-205 x -99589-287 x -71135-347 x -58835-1435 x -14227-1681 x -12145-1735 x -11767-2429 x -8405


How do I find the factor combinations of the number 20,415,745?

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 20,415,745, 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 20,415,745
-1 -20,415,745

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 20,415,745.

Example:
1 x 20,415,745 = 20,415,745
and
-1 x -20,415,745 = 20,415,745
Notice both answers equal 20,415,745

With that explanation out of the way, let's continue. Next, we take the number 20,415,745 and divide it by 2:

20,415,745 ÷ 2 = 10,207,872.5

If the quotient is a whole number, then 2 and 10,207,872.5 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 20,415,745
-1 -20,415,745

Now, we try dividing 20,415,745 by 3:

20,415,745 ÷ 3 = 6,805,248.3333

If the quotient is a whole number, then 3 and 6,805,248.3333 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 20,415,745
-1 -20,415,745

Let's try dividing by 4:

20,415,745 ÷ 4 = 5,103,936.25

If the quotient is a whole number, then 4 and 5,103,936.25 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 20,415,745
-1 20,415,745
Keep dividing by the next highest number until you cannot divide anymore.

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

15735412052873471,4351,6811,7352,4298,40511,76712,14514,22758,83571,13599,589497,945583,3072,916,5354,083,14920,415,745
-1-5-7-35-41-205-287-347-1,435-1,681-1,735-2,429-8,405-11,767-12,145-14,227-58,835-71,135-99,589-497,945-583,307-2,916,535-4,083,149-20,415,745

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