Q: What are the factor combinations of the number 1,387,727?

 A:
Positive:   1 x 138772711 x 12615717 x 8163141 x 33847181 x 7667187 x 7421451 x 3077697 x 1991
Negative: -1 x -1387727-11 x -126157-17 x -81631-41 x -33847-181 x -7667-187 x -7421-451 x -3077-697 x -1991


How do I find the factor combinations of the number 1,387,727?

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 1,387,727, 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 1,387,727
-1 -1,387,727

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 1,387,727.

Example:
1 x 1,387,727 = 1,387,727
and
-1 x -1,387,727 = 1,387,727
Notice both answers equal 1,387,727

With that explanation out of the way, let's continue. Next, we take the number 1,387,727 and divide it by 2:

1,387,727 ÷ 2 = 693,863.5

If the quotient is a whole number, then 2 and 693,863.5 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 1,387,727
-1 -1,387,727

Now, we try dividing 1,387,727 by 3:

1,387,727 ÷ 3 = 462,575.6667

If the quotient is a whole number, then 3 and 462,575.6667 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 1,387,727
-1 -1,387,727

Let's try dividing by 4:

1,387,727 ÷ 4 = 346,931.75

If the quotient is a whole number, then 4 and 346,931.75 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 1,387,727
-1 1,387,727
Keep dividing by the next highest number until you cannot divide anymore.

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

11117411811874516971,9913,0777,4217,66733,84781,631126,1571,387,727
-1-11-17-41-181-187-451-697-1,991-3,077-7,421-7,667-33,847-81,631-126,157-1,387,727

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