Q: What are the factor combinations of the number 72,513,427?

 A:
Positive:   1 x 725134277 x 1035906129 x 2500463203 x 357209523 x 138649683 x 1061693661 x 198074781 x 15167
Negative: -1 x -72513427-7 x -10359061-29 x -2500463-203 x -357209-523 x -138649-683 x -106169-3661 x -19807-4781 x -15167


How do I find the factor combinations of the number 72,513,427?

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 72,513,427, 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 72,513,427
-1 -72,513,427

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 72,513,427.

Example:
1 x 72,513,427 = 72,513,427
and
-1 x -72,513,427 = 72,513,427
Notice both answers equal 72,513,427

With that explanation out of the way, let's continue. Next, we take the number 72,513,427 and divide it by 2:

72,513,427 ÷ 2 = 36,256,713.5

If the quotient is a whole number, then 2 and 36,256,713.5 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 72,513,427
-1 -72,513,427

Now, we try dividing 72,513,427 by 3:

72,513,427 ÷ 3 = 24,171,142.3333

If the quotient is a whole number, then 3 and 24,171,142.3333 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 72,513,427
-1 -72,513,427

Let's try dividing by 4:

72,513,427 ÷ 4 = 18,128,356.75

If the quotient is a whole number, then 4 and 18,128,356.75 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 72,513,427
-1 72,513,427
Keep dividing by the next highest number until you cannot divide anymore.

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

17292035236833,6614,78115,16719,807106,169138,649357,2092,500,46310,359,06172,513,427
-1-7-29-203-523-683-3,661-4,781-15,167-19,807-106,169-138,649-357,209-2,500,463-10,359,061-72,513,427

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