Q: What are the factor combinations of the number 20,424,157?

 A:
Positive:   1 x 2042415713 x 157108917 x 1201421169 x 120853221 x 924172873 x 7109
Negative: -1 x -20424157-13 x -1571089-17 x -1201421-169 x -120853-221 x -92417-2873 x -7109


How do I find the factor combinations of the number 20,424,157?

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 20,424,157, 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 20,424,157
-1 -20,424,157

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 20,424,157.

Example:
1 x 20,424,157 = 20,424,157
and
-1 x -20,424,157 = 20,424,157
Notice both answers equal 20,424,157

With that explanation out of the way, let's continue. Next, we take the number 20,424,157 and divide it by 2:

20,424,157 ÷ 2 = 10,212,078.5

If the quotient is a whole number, then 2 and 10,212,078.5 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 20,424,157
-1 -20,424,157

Now, we try dividing 20,424,157 by 3:

20,424,157 ÷ 3 = 6,808,052.3333

If the quotient is a whole number, then 3 and 6,808,052.3333 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 20,424,157
-1 -20,424,157

Let's try dividing by 4:

20,424,157 ÷ 4 = 5,106,039.25

If the quotient is a whole number, then 4 and 5,106,039.25 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 20,424,157
-1 20,424,157
Keep dividing by the next highest number until you cannot divide anymore.

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

113171692212,8737,10992,417120,8531,201,4211,571,08920,424,157
-1-13-17-169-221-2,873-7,109-92,417-120,853-1,201,421-1,571,089-20,424,157

More Examples

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