Q: What are the factor combinations of the number 1,375,699?

 A:
Positive:   1 x 137569913 x 10582323 x 5981343 x 31993107 x 12857299 x 4601559 x 2461989 x 1391
Negative: -1 x -1375699-13 x -105823-23 x -59813-43 x -31993-107 x -12857-299 x -4601-559 x -2461-989 x -1391


How do I find the factor combinations of the number 1,375,699?

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 1,375,699, 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 1,375,699
-1 -1,375,699

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 1,375,699.

Example:
1 x 1,375,699 = 1,375,699
and
-1 x -1,375,699 = 1,375,699
Notice both answers equal 1,375,699

With that explanation out of the way, let's continue. Next, we take the number 1,375,699 and divide it by 2:

1,375,699 ÷ 2 = 687,849.5

If the quotient is a whole number, then 2 and 687,849.5 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 1,375,699
-1 -1,375,699

Now, we try dividing 1,375,699 by 3:

1,375,699 ÷ 3 = 458,566.3333

If the quotient is a whole number, then 3 and 458,566.3333 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 1,375,699
-1 -1,375,699

Let's try dividing by 4:

1,375,699 ÷ 4 = 343,924.75

If the quotient is a whole number, then 4 and 343,924.75 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 1,375,699
-1 1,375,699
Keep dividing by the next highest number until you cannot divide anymore.

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

11323431072995599891,3912,4614,60112,85731,99359,813105,8231,375,699
-1-13-23-43-107-299-559-989-1,391-2,461-4,601-12,857-31,993-59,813-105,823-1,375,699

More Examples

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