Q: What are the factor combinations of the number 352,362,605?

 A:
Positive:   1 x 3523626055 x 704725217 x 5033751535 x 1006750373 x 4826885365 x 965377511 x 6895552555 x 137911
Negative: -1 x -352362605-5 x -70472521-7 x -50337515-35 x -10067503-73 x -4826885-365 x -965377-511 x -689555-2555 x -137911


How do I find the factor combinations of the number 352,362,605?

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 352,362,605, 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.

1 352,362,605
-1 -352,362,605

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 352,362,605.

Example:
1 x 352,362,605 = 352,362,605
and
-1 x -352,362,605 = 352,362,605
Notice both answers equal 352,362,605

With that explanation out of the way, let's continue. Next, we take the number 352,362,605 and divide it by 2:

352,362,605 ÷ 2 = 176,181,302.5

If the quotient is a whole number, then 2 and 176,181,302.5 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:

1 352,362,605
-1 -352,362,605

Now, we try dividing 352,362,605 by 3:

352,362,605 ÷ 3 = 117,454,201.6667

If the quotient is a whole number, then 3 and 117,454,201.6667 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:

1 352,362,605
-1 -352,362,605

Let's try dividing by 4:

352,362,605 ÷ 4 = 88,090,651.25

If the quotient is a whole number, then 4 and 88,090,651.25 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:

1 352,362,605
-1 352,362,605
Keep dividing by the next highest number until you cannot divide anymore.

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

15735733655112,555137,911689,555965,3774,826,88510,067,50350,337,51570,472,521352,362,605
-1-5-7-35-73-365-511-2,555-137,911-689,555-965,377-4,826,885-10,067,503-50,337,515-70,472,521-352,362,605

More Examples

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