Q: What are the factor combinations of the number 356,377,255?

 A:
Positive:   1 x 3563772555 x 7127545113 x 2741363565 x 5482727373 x 9554351865 x 1910874849 x 7349514699 x 24245
Negative: -1 x -356377255-5 x -71275451-13 x -27413635-65 x -5482727-373 x -955435-1865 x -191087-4849 x -73495-14699 x -24245


How do I find the factor combinations of the number 356,377,255?

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 356,377,255, 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.

1 356,377,255
-1 -356,377,255

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 356,377,255.

Example:
1 x 356,377,255 = 356,377,255
and
-1 x -356,377,255 = 356,377,255
Notice both answers equal 356,377,255

With that explanation out of the way, let's continue. Next, we take the number 356,377,255 and divide it by 2:

356,377,255 ÷ 2 = 178,188,627.5

If the quotient is a whole number, then 2 and 178,188,627.5 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:

1 356,377,255
-1 -356,377,255

Now, we try dividing 356,377,255 by 3:

356,377,255 ÷ 3 = 118,792,418.3333

If the quotient is a whole number, then 3 and 118,792,418.3333 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:

1 356,377,255
-1 -356,377,255

Let's try dividing by 4:

356,377,255 ÷ 4 = 89,094,313.75

If the quotient is a whole number, then 4 and 89,094,313.75 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:

1 356,377,255
-1 356,377,255
Keep dividing by the next highest number until you cannot divide anymore.

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

1513653731,8654,84914,69924,24573,495191,087955,4355,482,72727,413,63571,275,451356,377,255
-1-5-13-65-373-1,865-4,849-14,699-24,245-73,495-191,087-955,435-5,482,727-27,413,635-71,275,451-356,377,255

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