Q: What are the factor combinations of the number 55,435,285?

 A:
Positive:   1 x 554352855 x 1108705731 x 178823583 x 667895139 x 398815155 x 357647415 x 133579695 x 79763961 x 576852573 x 215454309 x 128654805 x 11537
Negative: -1 x -55435285-5 x -11087057-31 x -1788235-83 x -667895-139 x -398815-155 x -357647-415 x -133579-695 x -79763-961 x -57685-2573 x -21545-4309 x -12865-4805 x -11537


How do I find the factor combinations of the number 55,435,285?

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 55,435,285, 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 55,435,285
-1 -55,435,285

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 55,435,285.

Example:
1 x 55,435,285 = 55,435,285
and
-1 x -55,435,285 = 55,435,285
Notice both answers equal 55,435,285

With that explanation out of the way, let's continue. Next, we take the number 55,435,285 and divide it by 2:

55,435,285 ÷ 2 = 27,717,642.5

If the quotient is a whole number, then 2 and 27,717,642.5 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 55,435,285
-1 -55,435,285

Now, we try dividing 55,435,285 by 3:

55,435,285 ÷ 3 = 18,478,428.3333

If the quotient is a whole number, then 3 and 18,478,428.3333 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 55,435,285
-1 -55,435,285

Let's try dividing by 4:

55,435,285 ÷ 4 = 13,858,821.25

If the quotient is a whole number, then 4 and 13,858,821.25 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 55,435,285
-1 55,435,285
Keep dividing by the next highest number until you cannot divide anymore.

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

1531831391554156959612,5734,3094,80511,53712,86521,54557,68579,763133,579357,647398,815667,8951,788,23511,087,05755,435,285
-1-5-31-83-139-155-415-695-961-2,573-4,309-4,805-11,537-12,865-21,545-57,685-79,763-133,579-357,647-398,815-667,895-1,788,235-11,087,057-55,435,285

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