Q: What are the factor combinations of the number 67,697,645?

 A:
Positive:   1 x 676976455 x 1353952931 x 218379573 x 927365155 x 436759193 x 350765365 x 185473961 x 70445965 x 701532263 x 299154805 x 140895983 x 11315
Negative: -1 x -67697645-5 x -13539529-31 x -2183795-73 x -927365-155 x -436759-193 x -350765-365 x -185473-961 x -70445-965 x -70153-2263 x -29915-4805 x -14089-5983 x -11315


How do I find the factor combinations of the number 67,697,645?

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 67,697,645, 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 67,697,645
-1 -67,697,645

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 67,697,645.

Example:
1 x 67,697,645 = 67,697,645
and
-1 x -67,697,645 = 67,697,645
Notice both answers equal 67,697,645

With that explanation out of the way, let's continue. Next, we take the number 67,697,645 and divide it by 2:

67,697,645 ÷ 2 = 33,848,822.5

If the quotient is a whole number, then 2 and 33,848,822.5 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 67,697,645
-1 -67,697,645

Now, we try dividing 67,697,645 by 3:

67,697,645 ÷ 3 = 22,565,881.6667

If the quotient is a whole number, then 3 and 22,565,881.6667 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 67,697,645
-1 -67,697,645

Let's try dividing by 4:

67,697,645 ÷ 4 = 16,924,411.25

If the quotient is a whole number, then 4 and 16,924,411.25 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 67,697,645
-1 67,697,645
Keep dividing by the next highest number until you cannot divide anymore.

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

1531731551933659619652,2634,8055,98311,31514,08929,91570,15370,445185,473350,765436,759927,3652,183,79513,539,52967,697,645
-1-5-31-73-155-193-365-961-965-2,263-4,805-5,983-11,315-14,089-29,915-70,153-70,445-185,473-350,765-436,759-927,365-2,183,795-13,539,529-67,697,645

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