Q: What are the factor combinations of the number 1,011,437?

 A:
Positive:   1 x 10114377 x 14449131 x 3262759 x 1714379 x 12803217 x 4661413 x 2449553 x 1829
Negative: -1 x -1011437-7 x -144491-31 x -32627-59 x -17143-79 x -12803-217 x -4661-413 x -2449-553 x -1829


How do I find the factor combinations of the number 1,011,437?

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 1,011,437, 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 1,011,437
-1 -1,011,437

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 1,011,437.

Example:
1 x 1,011,437 = 1,011,437
and
-1 x -1,011,437 = 1,011,437
Notice both answers equal 1,011,437

With that explanation out of the way, let's continue. Next, we take the number 1,011,437 and divide it by 2:

1,011,437 ÷ 2 = 505,718.5

If the quotient is a whole number, then 2 and 505,718.5 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 1,011,437
-1 -1,011,437

Now, we try dividing 1,011,437 by 3:

1,011,437 ÷ 3 = 337,145.6667

If the quotient is a whole number, then 3 and 337,145.6667 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 1,011,437
-1 -1,011,437

Let's try dividing by 4:

1,011,437 ÷ 4 = 252,859.25

If the quotient is a whole number, then 4 and 252,859.25 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 1,011,437
-1 1,011,437
Keep dividing by the next highest number until you cannot divide anymore.

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

173159792174135531,8292,4494,66112,80317,14332,627144,4911,011,437
-1-7-31-59-79-217-413-553-1,829-2,449-4,661-12,803-17,143-32,627-144,491-1,011,437

More Examples

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