Q: What are the factor combinations of the number 20,014,127?

 A:
Positive:   1 x 200141277 x 285916131 x 645617149 x 134323217 x 92231619 x 323331043 x 191894333 x 4619
Negative: -1 x -20014127-7 x -2859161-31 x -645617-149 x -134323-217 x -92231-619 x -32333-1043 x -19189-4333 x -4619


How do I find the factor combinations of the number 20,014,127?

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 20,014,127, 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 20,014,127
-1 -20,014,127

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 20,014,127.

Example:
1 x 20,014,127 = 20,014,127
and
-1 x -20,014,127 = 20,014,127
Notice both answers equal 20,014,127

With that explanation out of the way, let's continue. Next, we take the number 20,014,127 and divide it by 2:

20,014,127 ÷ 2 = 10,007,063.5

If the quotient is a whole number, then 2 and 10,007,063.5 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 20,014,127
-1 -20,014,127

Now, we try dividing 20,014,127 by 3:

20,014,127 ÷ 3 = 6,671,375.6667

If the quotient is a whole number, then 3 and 6,671,375.6667 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 20,014,127
-1 -20,014,127

Let's try dividing by 4:

20,014,127 ÷ 4 = 5,003,531.75

If the quotient is a whole number, then 4 and 5,003,531.75 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 20,014,127
-1 20,014,127
Keep dividing by the next highest number until you cannot divide anymore.

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

17311492176191,0434,3334,61919,18932,33392,231134,323645,6172,859,16120,014,127
-1-7-31-149-217-619-1,043-4,333-4,619-19,189-32,333-92,231-134,323-645,617-2,859,161-20,014,127

More Examples

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