Q: What are the factor combinations of the number 355,005,469?

 A:
Positive:   1 x 3550054697 x 5071506713 x 2730811391 x 3901159787 x 4510874957 x 716175509 x 6444110231 x 34699
Negative: -1 x -355005469-7 x -50715067-13 x -27308113-91 x -3901159-787 x -451087-4957 x -71617-5509 x -64441-10231 x -34699


How do I find the factor combinations of the number 355,005,469?

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 355,005,469, 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.

1 355,005,469
-1 -355,005,469

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 355,005,469.

Example:
1 x 355,005,469 = 355,005,469
and
-1 x -355,005,469 = 355,005,469
Notice both answers equal 355,005,469

With that explanation out of the way, let's continue. Next, we take the number 355,005,469 and divide it by 2:

355,005,469 ÷ 2 = 177,502,734.5

If the quotient is a whole number, then 2 and 177,502,734.5 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:

1 355,005,469
-1 -355,005,469

Now, we try dividing 355,005,469 by 3:

355,005,469 ÷ 3 = 118,335,156.3333

If the quotient is a whole number, then 3 and 118,335,156.3333 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:

1 355,005,469
-1 -355,005,469

Let's try dividing by 4:

355,005,469 ÷ 4 = 88,751,367.25

If the quotient is a whole number, then 4 and 88,751,367.25 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:

1 355,005,469
-1 355,005,469
Keep dividing by the next highest number until you cannot divide anymore.

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

1713917874,9575,50910,23134,69964,44171,617451,0873,901,15927,308,11350,715,067355,005,469
-1-7-13-91-787-4,957-5,509-10,231-34,699-64,441-71,617-451,087-3,901,159-27,308,113-50,715,067-355,005,469

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