Q: What are the factor combinations of the number 356,466,605?

 A:
Positive:   1 x 3564666055 x 7129332111 x 3240605553 x 672578555 x 6481211121 x 2946005265 x 1345157583 x 611435605 x 5892012915 x 1222876413 x 5558511117 x 32065
Negative: -1 x -356466605-5 x -71293321-11 x -32406055-53 x -6725785-55 x -6481211-121 x -2946005-265 x -1345157-583 x -611435-605 x -589201-2915 x -122287-6413 x -55585-11117 x -32065


How do I find the factor combinations of the number 356,466,605?

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 356,466,605, 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.

1 356,466,605
-1 -356,466,605

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 356,466,605.

Example:
1 x 356,466,605 = 356,466,605
and
-1 x -356,466,605 = 356,466,605
Notice both answers equal 356,466,605

With that explanation out of the way, let's continue. Next, we take the number 356,466,605 and divide it by 2:

356,466,605 ÷ 2 = 178,233,302.5

If the quotient is a whole number, then 2 and 178,233,302.5 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:

1 356,466,605
-1 -356,466,605

Now, we try dividing 356,466,605 by 3:

356,466,605 ÷ 3 = 118,822,201.6667

If the quotient is a whole number, then 3 and 118,822,201.6667 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:

1 356,466,605
-1 -356,466,605

Let's try dividing by 4:

356,466,605 ÷ 4 = 89,116,651.25

If the quotient is a whole number, then 4 and 89,116,651.25 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:

1 356,466,605
-1 356,466,605
Keep dividing by the next highest number until you cannot divide anymore.

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

151153551212655836052,9156,41311,11732,06555,585122,287589,201611,4351,345,1572,946,0056,481,2116,725,78532,406,05571,293,321356,466,605
-1-5-11-53-55-121-265-583-605-2,915-6,413-11,117-32,065-55,585-122,287-589,201-611,435-1,345,157-2,946,005-6,481,211-6,725,785-32,406,055-71,293,321-356,466,605

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