Q: What are the factor combinations of the number 1,371,439?

 A:
Positive:   1 x 137143919 x 7218129 x 47291131 x 10469361 x 3799551 x 2489
Negative: -1 x -1371439-19 x -72181-29 x -47291-131 x -10469-361 x -3799-551 x -2489


How do I find the factor combinations of the number 1,371,439?

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 1,371,439, 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 1,371,439
-1 -1,371,439

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 1,371,439.

Example:
1 x 1,371,439 = 1,371,439
and
-1 x -1,371,439 = 1,371,439
Notice both answers equal 1,371,439

With that explanation out of the way, let's continue. Next, we take the number 1,371,439 and divide it by 2:

1,371,439 ÷ 2 = 685,719.5

If the quotient is a whole number, then 2 and 685,719.5 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 1,371,439
-1 -1,371,439

Now, we try dividing 1,371,439 by 3:

1,371,439 ÷ 3 = 457,146.3333

If the quotient is a whole number, then 3 and 457,146.3333 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 1,371,439
-1 -1,371,439

Let's try dividing by 4:

1,371,439 ÷ 4 = 342,859.75

If the quotient is a whole number, then 4 and 342,859.75 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 1,371,439
-1 1,371,439
Keep dividing by the next highest number until you cannot divide anymore.

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

119291313615512,4893,79910,46947,29172,1811,371,439
-1-19-29-131-361-551-2,489-3,799-10,469-47,291-72,181-1,371,439

More Examples

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