Q: What are the factor combinations of the number 72,707,669?

 A:
Positive:   1 x 7270766923 x 316120329 x 250716161 x 1191929667 x 1090071403 x 518231769 x 411011787 x 40687
Negative: -1 x -72707669-23 x -3161203-29 x -2507161-61 x -1191929-667 x -109007-1403 x -51823-1769 x -41101-1787 x -40687


How do I find the factor combinations of the number 72,707,669?

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 72,707,669, 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 72,707,669
-1 -72,707,669

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 72,707,669.

Example:
1 x 72,707,669 = 72,707,669
and
-1 x -72,707,669 = 72,707,669
Notice both answers equal 72,707,669

With that explanation out of the way, let's continue. Next, we take the number 72,707,669 and divide it by 2:

72,707,669 ÷ 2 = 36,353,834.5

If the quotient is a whole number, then 2 and 36,353,834.5 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 72,707,669
-1 -72,707,669

Now, we try dividing 72,707,669 by 3:

72,707,669 ÷ 3 = 24,235,889.6667

If the quotient is a whole number, then 3 and 24,235,889.6667 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 72,707,669
-1 -72,707,669

Let's try dividing by 4:

72,707,669 ÷ 4 = 18,176,917.25

If the quotient is a whole number, then 4 and 18,176,917.25 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 72,707,669
-1 72,707,669
Keep dividing by the next highest number until you cannot divide anymore.

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

12329616671,4031,7691,78740,68741,10151,823109,0071,191,9292,507,1613,161,20372,707,669
-1-23-29-61-667-1,403-1,769-1,787-40,687-41,101-51,823-109,007-1,191,929-2,507,161-3,161,203-72,707,669

More Examples

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