Q: What are the factor combinations of the number 13,785,385?

 A:
Positive:   1 x 137853855 x 275707717 x 81090585 x 162181157 x 87805785 x 175611033 x 133452669 x 5165
Negative: -1 x -13785385-5 x -2757077-17 x -810905-85 x -162181-157 x -87805-785 x -17561-1033 x -13345-2669 x -5165


How do I find the factor combinations of the number 13,785,385?

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 13,785,385, 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 13,785,385
-1 -13,785,385

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 13,785,385.

Example:
1 x 13,785,385 = 13,785,385
and
-1 x -13,785,385 = 13,785,385
Notice both answers equal 13,785,385

With that explanation out of the way, let's continue. Next, we take the number 13,785,385 and divide it by 2:

13,785,385 ÷ 2 = 6,892,692.5

If the quotient is a whole number, then 2 and 6,892,692.5 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 13,785,385
-1 -13,785,385

Now, we try dividing 13,785,385 by 3:

13,785,385 ÷ 3 = 4,595,128.3333

If the quotient is a whole number, then 3 and 4,595,128.3333 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 13,785,385
-1 -13,785,385

Let's try dividing by 4:

13,785,385 ÷ 4 = 3,446,346.25

If the quotient is a whole number, then 4 and 3,446,346.25 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 13,785,385
-1 13,785,385
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851577851,0332,6695,16513,34517,56187,805162,181810,9052,757,07713,785,385
-1-5-17-85-157-785-1,033-2,669-5,165-13,345-17,561-87,805-162,181-810,905-2,757,077-13,785,385

More Examples

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