Q: What are the factor combinations of the number 55,130,803?

 A:
Positive:   1 x 551308037 x 787582913 x 424083131 x 177841391 x 605833217 x 254059403 x 1368012821 x 19543
Negative: -1 x -55130803-7 x -7875829-13 x -4240831-31 x -1778413-91 x -605833-217 x -254059-403 x -136801-2821 x -19543


How do I find the factor combinations of the number 55,130,803?

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 55,130,803, 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 55,130,803
-1 -55,130,803

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 55,130,803.

Example:
1 x 55,130,803 = 55,130,803
and
-1 x -55,130,803 = 55,130,803
Notice both answers equal 55,130,803

With that explanation out of the way, let's continue. Next, we take the number 55,130,803 and divide it by 2:

55,130,803 ÷ 2 = 27,565,401.5

If the quotient is a whole number, then 2 and 27,565,401.5 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 55,130,803
-1 -55,130,803

Now, we try dividing 55,130,803 by 3:

55,130,803 ÷ 3 = 18,376,934.3333

If the quotient is a whole number, then 3 and 18,376,934.3333 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 55,130,803
-1 -55,130,803

Let's try dividing by 4:

55,130,803 ÷ 4 = 13,782,700.75

If the quotient is a whole number, then 4 and 13,782,700.75 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 55,130,803
-1 55,130,803
Keep dividing by the next highest number until you cannot divide anymore.

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

171331912174032,82119,543136,801254,059605,8331,778,4134,240,8317,875,82955,130,803
-1-7-13-31-91-217-403-2,821-19,543-136,801-254,059-605,833-1,778,413-4,240,831-7,875,829-55,130,803

More Examples

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