Q: What are the factor combinations of the number 356,326,625?

 A:
Positive:   1 x 3563266255 x 7126532525 x 1425306529 x 12287125125 x 2850613145 x 2457425725 x 4914853625 x 98297
Negative: -1 x -356326625-5 x -71265325-25 x -14253065-29 x -12287125-125 x -2850613-145 x -2457425-725 x -491485-3625 x -98297


How do I find the factor combinations of the number 356,326,625?

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 356,326,625, 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.

1 356,326,625
-1 -356,326,625

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 356,326,625.

Example:
1 x 356,326,625 = 356,326,625
and
-1 x -356,326,625 = 356,326,625
Notice both answers equal 356,326,625

With that explanation out of the way, let's continue. Next, we take the number 356,326,625 and divide it by 2:

356,326,625 ÷ 2 = 178,163,312.5

If the quotient is a whole number, then 2 and 178,163,312.5 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:

1 356,326,625
-1 -356,326,625

Now, we try dividing 356,326,625 by 3:

356,326,625 ÷ 3 = 118,775,541.6667

If the quotient is a whole number, then 3 and 118,775,541.6667 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:

1 356,326,625
-1 -356,326,625

Let's try dividing by 4:

356,326,625 ÷ 4 = 89,081,656.25

If the quotient is a whole number, then 4 and 89,081,656.25 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:

1 356,326,625
-1 356,326,625
Keep dividing by the next highest number until you cannot divide anymore.

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

1525291251457253,62598,297491,4852,457,4252,850,61312,287,12514,253,06571,265,325356,326,625
-1-5-25-29-125-145-725-3,625-98,297-491,485-2,457,425-2,850,613-12,287,125-14,253,065-71,265,325-356,326,625

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