Q: What are the factor combinations of the number 1,375,315?

 A:
Positive:   1 x 13753155 x 27506319 x 7238531 x 4436595 x 14477155 x 8873467 x 2945589 x 2335
Negative: -1 x -1375315-5 x -275063-19 x -72385-31 x -44365-95 x -14477-155 x -8873-467 x -2945-589 x -2335


How do I find the factor combinations of the number 1,375,315?

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 1,375,315, 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 1,375,315
-1 -1,375,315

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 1,375,315.

Example:
1 x 1,375,315 = 1,375,315
and
-1 x -1,375,315 = 1,375,315
Notice both answers equal 1,375,315

With that explanation out of the way, let's continue. Next, we take the number 1,375,315 and divide it by 2:

1,375,315 ÷ 2 = 687,657.5

If the quotient is a whole number, then 2 and 687,657.5 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 1,375,315
-1 -1,375,315

Now, we try dividing 1,375,315 by 3:

1,375,315 ÷ 3 = 458,438.3333

If the quotient is a whole number, then 3 and 458,438.3333 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 1,375,315
-1 -1,375,315

Let's try dividing by 4:

1,375,315 ÷ 4 = 343,828.75

If the quotient is a whole number, then 4 and 343,828.75 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 1,375,315
-1 1,375,315
Keep dividing by the next highest number until you cannot divide anymore.

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

151931951554675892,3352,9458,87314,47744,36572,385275,0631,375,315
-1-5-19-31-95-155-467-589-2,335-2,945-8,873-14,477-44,365-72,385-275,063-1,375,315

More Examples

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