Q: What are the factor combinations of the number 1,381,817?

 A:
Positive:   1 x 138181723 x 6007973 x 18929823 x 1679
Negative: -1 x -1381817-23 x -60079-73 x -18929-823 x -1679


How do I find the factor combinations of the number 1,381,817?

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 1,381,817, 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 1,381,817
-1 -1,381,817

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 1,381,817.

Example:
1 x 1,381,817 = 1,381,817
and
-1 x -1,381,817 = 1,381,817
Notice both answers equal 1,381,817

With that explanation out of the way, let's continue. Next, we take the number 1,381,817 and divide it by 2:

1,381,817 ÷ 2 = 690,908.5

If the quotient is a whole number, then 2 and 690,908.5 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 1,381,817
-1 -1,381,817

Now, we try dividing 1,381,817 by 3:

1,381,817 ÷ 3 = 460,605.6667

If the quotient is a whole number, then 3 and 460,605.6667 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 1,381,817
-1 -1,381,817

Let's try dividing by 4:

1,381,817 ÷ 4 = 345,454.25

If the quotient is a whole number, then 4 and 345,454.25 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 1,381,817
-1 1,381,817
Keep dividing by the next highest number until you cannot divide anymore.

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

123738231,67918,92960,0791,381,817
-1-23-73-823-1,679-18,929-60,079-1,381,817

More Examples

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