Q: What are the factor combinations of the number 1,037,185?

 A:
Positive:   1 x 10371855 x 20743723 x 4509529 x 35765115 x 9019145 x 7153311 x 3335667 x 1555
Negative: -1 x -1037185-5 x -207437-23 x -45095-29 x -35765-115 x -9019-145 x -7153-311 x -3335-667 x -1555


How do I find the factor combinations of the number 1,037,185?

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 1,037,185, 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 1,037,185
-1 -1,037,185

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 1,037,185.

Example:
1 x 1,037,185 = 1,037,185
and
-1 x -1,037,185 = 1,037,185
Notice both answers equal 1,037,185

With that explanation out of the way, let's continue. Next, we take the number 1,037,185 and divide it by 2:

1,037,185 ÷ 2 = 518,592.5

If the quotient is a whole number, then 2 and 518,592.5 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 1,037,185
-1 -1,037,185

Now, we try dividing 1,037,185 by 3:

1,037,185 ÷ 3 = 345,728.3333

If the quotient is a whole number, then 3 and 345,728.3333 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 1,037,185
-1 -1,037,185

Let's try dividing by 4:

1,037,185 ÷ 4 = 259,296.25

If the quotient is a whole number, then 4 and 259,296.25 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 1,037,185
-1 1,037,185
Keep dividing by the next highest number until you cannot divide anymore.

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

1523291151453116671,5553,3357,1539,01935,76545,095207,4371,037,185
-1-5-23-29-115-145-311-667-1,555-3,335-7,153-9,019-35,765-45,095-207,437-1,037,185

More Examples

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