Q: What are the factor combinations of the number 716,302,375?

 A:
Positive:   1 x 7163023755 x 14326047519 x 3770012525 x 2865209595 x 7540025125 x 5730419475 x 15080052375 x 301601
Negative: -1 x -716302375-5 x -143260475-19 x -37700125-25 x -28652095-95 x -7540025-125 x -5730419-475 x -1508005-2375 x -301601


How do I find the factor combinations of the number 716,302,375?

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 716,302,375, 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.

1 716,302,375
-1 -716,302,375

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 716,302,375.

Example:
1 x 716,302,375 = 716,302,375
and
-1 x -716,302,375 = 716,302,375
Notice both answers equal 716,302,375

With that explanation out of the way, let's continue. Next, we take the number 716,302,375 and divide it by 2:

716,302,375 ÷ 2 = 358,151,187.5

If the quotient is a whole number, then 2 and 358,151,187.5 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:

1 716,302,375
-1 -716,302,375

Now, we try dividing 716,302,375 by 3:

716,302,375 ÷ 3 = 238,767,458.3333

If the quotient is a whole number, then 3 and 238,767,458.3333 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:

1 716,302,375
-1 -716,302,375

Let's try dividing by 4:

716,302,375 ÷ 4 = 179,075,593.75

If the quotient is a whole number, then 4 and 179,075,593.75 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:

1 716,302,375
-1 716,302,375
Keep dividing by the next highest number until you cannot divide anymore.

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

151925951254752,375301,6011,508,0055,730,4197,540,02528,652,09537,700,125143,260,475716,302,375
-1-5-19-25-95-125-475-2,375-301,601-1,508,005-5,730,419-7,540,025-28,652,095-37,700,125-143,260,475-716,302,375

More Examples

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