Q: What are the factor combinations of the number 760,140,305?

 A:
Positive:   1 x 7601403055 x 15202806131 x 24520655107 x 7104115155 x 4904131535 x 14208233317 x 22916516585 x 45833
Negative: -1 x -760140305-5 x -152028061-31 x -24520655-107 x -7104115-155 x -4904131-535 x -1420823-3317 x -229165-16585 x -45833


How do I find the factor combinations of the number 760,140,305?

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 760,140,305, 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.

1 760,140,305
-1 -760,140,305

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 760,140,305.

Example:
1 x 760,140,305 = 760,140,305
and
-1 x -760,140,305 = 760,140,305
Notice both answers equal 760,140,305

With that explanation out of the way, let's continue. Next, we take the number 760,140,305 and divide it by 2:

760,140,305 ÷ 2 = 380,070,152.5

If the quotient is a whole number, then 2 and 380,070,152.5 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:

1 760,140,305
-1 -760,140,305

Now, we try dividing 760,140,305 by 3:

760,140,305 ÷ 3 = 253,380,101.6667

If the quotient is a whole number, then 3 and 253,380,101.6667 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:

1 760,140,305
-1 -760,140,305

Let's try dividing by 4:

760,140,305 ÷ 4 = 190,035,076.25

If the quotient is a whole number, then 4 and 190,035,076.25 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:

1 760,140,305
-1 760,140,305
Keep dividing by the next highest number until you cannot divide anymore.

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

15311071555353,31716,58545,833229,1651,420,8234,904,1317,104,11524,520,655152,028,061760,140,305
-1-5-31-107-155-535-3,317-16,585-45,833-229,165-1,420,823-4,904,131-7,104,115-24,520,655-152,028,061-760,140,305

More Examples

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