Q: What are the factor combinations of the number 1,381,315?

 A:
Positive:   1 x 13813155 x 27626313 x 10625565 x 2125179 x 17485269 x 5135395 x 34971027 x 1345
Negative: -1 x -1381315-5 x -276263-13 x -106255-65 x -21251-79 x -17485-269 x -5135-395 x -3497-1027 x -1345


How do I find the factor combinations of the number 1,381,315?

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 1,381,315, 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 1,381,315
-1 -1,381,315

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 1,381,315.

Example:
1 x 1,381,315 = 1,381,315
and
-1 x -1,381,315 = 1,381,315
Notice both answers equal 1,381,315

With that explanation out of the way, let's continue. Next, we take the number 1,381,315 and divide it by 2:

1,381,315 ÷ 2 = 690,657.5

If the quotient is a whole number, then 2 and 690,657.5 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 1,381,315
-1 -1,381,315

Now, we try dividing 1,381,315 by 3:

1,381,315 ÷ 3 = 460,438.3333

If the quotient is a whole number, then 3 and 460,438.3333 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 1,381,315
-1 -1,381,315

Let's try dividing by 4:

1,381,315 ÷ 4 = 345,328.75

If the quotient is a whole number, then 4 and 345,328.75 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 1,381,315
-1 1,381,315
Keep dividing by the next highest number until you cannot divide anymore.

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

151365792693951,0271,3453,4975,13517,48521,251106,255276,2631,381,315
-1-5-13-65-79-269-395-1,027-1,345-3,497-5,135-17,485-21,251-106,255-276,263-1,381,315

More Examples

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