Q: What are the factor combinations of the number 55,710,413?

 A:
Positive:   1 x 5571041311 x 506458319 x 293212743 x 1295591209 x 266557473 x 117781817 x 681896199 x 8987
Negative: -1 x -55710413-11 x -5064583-19 x -2932127-43 x -1295591-209 x -266557-473 x -117781-817 x -68189-6199 x -8987


How do I find the factor combinations of the number 55,710,413?

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 55,710,413, 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 55,710,413
-1 -55,710,413

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 55,710,413.

Example:
1 x 55,710,413 = 55,710,413
and
-1 x -55,710,413 = 55,710,413
Notice both answers equal 55,710,413

With that explanation out of the way, let's continue. Next, we take the number 55,710,413 and divide it by 2:

55,710,413 ÷ 2 = 27,855,206.5

If the quotient is a whole number, then 2 and 27,855,206.5 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 55,710,413
-1 -55,710,413

Now, we try dividing 55,710,413 by 3:

55,710,413 ÷ 3 = 18,570,137.6667

If the quotient is a whole number, then 3 and 18,570,137.6667 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 55,710,413
-1 -55,710,413

Let's try dividing by 4:

55,710,413 ÷ 4 = 13,927,603.25

If the quotient is a whole number, then 4 and 13,927,603.25 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 55,710,413
-1 55,710,413
Keep dividing by the next highest number until you cannot divide anymore.

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

11119432094738176,1998,98768,189117,781266,5571,295,5912,932,1275,064,58355,710,413
-1-11-19-43-209-473-817-6,199-8,987-68,189-117,781-266,557-1,295,591-2,932,127-5,064,583-55,710,413

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