Q: What are the factor combinations of the number 20,130,007?

 A:
Positive:   1 x 20130007101 x 199307241 x 83527827 x 24341
Negative: -1 x -20130007-101 x -199307-241 x -83527-827 x -24341


How do I find the factor combinations of the number 20,130,007?

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 20,130,007, 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 20,130,007
-1 -20,130,007

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 20,130,007.

Example:
1 x 20,130,007 = 20,130,007
and
-1 x -20,130,007 = 20,130,007
Notice both answers equal 20,130,007

With that explanation out of the way, let's continue. Next, we take the number 20,130,007 and divide it by 2:

20,130,007 ÷ 2 = 10,065,003.5

If the quotient is a whole number, then 2 and 10,065,003.5 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 20,130,007
-1 -20,130,007

Now, we try dividing 20,130,007 by 3:

20,130,007 ÷ 3 = 6,710,002.3333

If the quotient is a whole number, then 3 and 6,710,002.3333 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 20,130,007
-1 -20,130,007

Let's try dividing by 4:

20,130,007 ÷ 4 = 5,032,501.75

If the quotient is a whole number, then 4 and 5,032,501.75 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 20,130,007
-1 20,130,007
Keep dividing by the next highest number until you cannot divide anymore.

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

110124182724,34183,527199,30720,130,007
-1-101-241-827-24,341-83,527-199,307-20,130,007

More Examples

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