Q: What are the factor combinations of the number 72,252,215?

 A:
Positive:   1 x 722522155 x 144504437 x 1032174535 x 206434949 x 147453579 x 914585245 x 294907395 x 182917553 x 1306552765 x 261313733 x 193553871 x 18665
Negative: -1 x -72252215-5 x -14450443-7 x -10321745-35 x -2064349-49 x -1474535-79 x -914585-245 x -294907-395 x -182917-553 x -130655-2765 x -26131-3733 x -19355-3871 x -18665


How do I find the factor combinations of the number 72,252,215?

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 72,252,215, 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 72,252,215
-1 -72,252,215

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 72,252,215.

Example:
1 x 72,252,215 = 72,252,215
and
-1 x -72,252,215 = 72,252,215
Notice both answers equal 72,252,215

With that explanation out of the way, let's continue. Next, we take the number 72,252,215 and divide it by 2:

72,252,215 ÷ 2 = 36,126,107.5

If the quotient is a whole number, then 2 and 36,126,107.5 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 72,252,215
-1 -72,252,215

Now, we try dividing 72,252,215 by 3:

72,252,215 ÷ 3 = 24,084,071.6667

If the quotient is a whole number, then 3 and 24,084,071.6667 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 72,252,215
-1 -72,252,215

Let's try dividing by 4:

72,252,215 ÷ 4 = 18,063,053.75

If the quotient is a whole number, then 4 and 18,063,053.75 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 72,252,215
-1 72,252,215
Keep dividing by the next highest number until you cannot divide anymore.

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

1573549792453955532,7653,7333,87118,66519,35526,131130,655182,917294,907914,5851,474,5352,064,34910,321,74514,450,44372,252,215
-1-5-7-35-49-79-245-395-553-2,765-3,733-3,871-18,665-19,355-26,131-130,655-182,917-294,907-914,585-1,474,535-2,064,349-10,321,745-14,450,443-72,252,215

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