Q: What are the factor combinations of the number 1,575,665?

 A:
Positive:   1 x 15756655 x 3151337 x 22509513 x 12120535 x 4501965 x 2424191 x 17315455 x 3463
Negative: -1 x -1575665-5 x -315133-7 x -225095-13 x -121205-35 x -45019-65 x -24241-91 x -17315-455 x -3463


How do I find the factor combinations of the number 1,575,665?

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 1,575,665, 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 1,575,665
-1 -1,575,665

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 1,575,665.

Example:
1 x 1,575,665 = 1,575,665
and
-1 x -1,575,665 = 1,575,665
Notice both answers equal 1,575,665

With that explanation out of the way, let's continue. Next, we take the number 1,575,665 and divide it by 2:

1,575,665 ÷ 2 = 787,832.5

If the quotient is a whole number, then 2 and 787,832.5 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 1,575,665
-1 -1,575,665

Now, we try dividing 1,575,665 by 3:

1,575,665 ÷ 3 = 525,221.6667

If the quotient is a whole number, then 3 and 525,221.6667 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 1,575,665
-1 -1,575,665

Let's try dividing by 4:

1,575,665 ÷ 4 = 393,916.25

If the quotient is a whole number, then 4 and 393,916.25 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 1,575,665
-1 1,575,665
Keep dividing by the next highest number until you cannot divide anymore.

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

157133565914553,46317,31524,24145,019121,205225,095315,1331,575,665
-1-5-7-13-35-65-91-455-3,463-17,315-24,241-45,019-121,205-225,095-315,133-1,575,665

More Examples

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