Q: What are the factor combinations of the number 1,386,707?

 A:
Positive:   1 x 13867077 x 19810117 x 8157143 x 32249119 x 11653271 x 5117301 x 4607731 x 1897
Negative: -1 x -1386707-7 x -198101-17 x -81571-43 x -32249-119 x -11653-271 x -5117-301 x -4607-731 x -1897


How do I find the factor combinations of the number 1,386,707?

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 1,386,707, 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 1,386,707
-1 -1,386,707

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 1,386,707.

Example:
1 x 1,386,707 = 1,386,707
and
-1 x -1,386,707 = 1,386,707
Notice both answers equal 1,386,707

With that explanation out of the way, let's continue. Next, we take the number 1,386,707 and divide it by 2:

1,386,707 ÷ 2 = 693,353.5

If the quotient is a whole number, then 2 and 693,353.5 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 1,386,707
-1 -1,386,707

Now, we try dividing 1,386,707 by 3:

1,386,707 ÷ 3 = 462,235.6667

If the quotient is a whole number, then 3 and 462,235.6667 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 1,386,707
-1 -1,386,707

Let's try dividing by 4:

1,386,707 ÷ 4 = 346,676.75

If the quotient is a whole number, then 4 and 346,676.75 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 1,386,707
-1 1,386,707
Keep dividing by the next highest number until you cannot divide anymore.

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

1717431192713017311,8974,6075,11711,65332,24981,571198,1011,386,707
-1-7-17-43-119-271-301-731-1,897-4,607-5,117-11,653-32,249-81,571-198,101-1,386,707

More Examples

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