Q: What are the factor combinations of the number 55,454,245?

 A:
Positive:   1 x 554542455 x 110908497 x 792203511 x 504129535 x 158440755 x 100825977 x 720185385 x 144037
Negative: -1 x -55454245-5 x -11090849-7 x -7922035-11 x -5041295-35 x -1584407-55 x -1008259-77 x -720185-385 x -144037


How do I find the factor combinations of the number 55,454,245?

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 55,454,245, 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 55,454,245
-1 -55,454,245

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 55,454,245.

Example:
1 x 55,454,245 = 55,454,245
and
-1 x -55,454,245 = 55,454,245
Notice both answers equal 55,454,245

With that explanation out of the way, let's continue. Next, we take the number 55,454,245 and divide it by 2:

55,454,245 ÷ 2 = 27,727,122.5

If the quotient is a whole number, then 2 and 27,727,122.5 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 55,454,245
-1 -55,454,245

Now, we try dividing 55,454,245 by 3:

55,454,245 ÷ 3 = 18,484,748.3333

If the quotient is a whole number, then 3 and 18,484,748.3333 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 55,454,245
-1 -55,454,245

Let's try dividing by 4:

55,454,245 ÷ 4 = 13,863,561.25

If the quotient is a whole number, then 4 and 13,863,561.25 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 55,454,245
-1 55,454,245
Keep dividing by the next highest number until you cannot divide anymore.

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

15711355577385144,037720,1851,008,2591,584,4075,041,2957,922,03511,090,84955,454,245
-1-5-7-11-35-55-77-385-144,037-720,185-1,008,259-1,584,407-5,041,295-7,922,035-11,090,849-55,454,245

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