Q: What are the factor combinations of the number 73,740,385?

 A:
Positive:   1 x 737403855 x 14748077163 x 452395173 x 426245523 x 140995815 x 90479865 x 852492615 x 28199
Negative: -1 x -73740385-5 x -14748077-163 x -452395-173 x -426245-523 x -140995-815 x -90479-865 x -85249-2615 x -28199


How do I find the factor combinations of the number 73,740,385?

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 73,740,385, 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 73,740,385
-1 -73,740,385

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 73,740,385.

Example:
1 x 73,740,385 = 73,740,385
and
-1 x -73,740,385 = 73,740,385
Notice both answers equal 73,740,385

With that explanation out of the way, let's continue. Next, we take the number 73,740,385 and divide it by 2:

73,740,385 ÷ 2 = 36,870,192.5

If the quotient is a whole number, then 2 and 36,870,192.5 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 73,740,385
-1 -73,740,385

Now, we try dividing 73,740,385 by 3:

73,740,385 ÷ 3 = 24,580,128.3333

If the quotient is a whole number, then 3 and 24,580,128.3333 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 73,740,385
-1 -73,740,385

Let's try dividing by 4:

73,740,385 ÷ 4 = 18,435,096.25

If the quotient is a whole number, then 4 and 18,435,096.25 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 73,740,385
-1 73,740,385
Keep dividing by the next highest number until you cannot divide anymore.

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

151631735238158652,61528,19985,24990,479140,995426,245452,39514,748,07773,740,385
-1-5-163-173-523-815-865-2,615-28,199-85,249-90,479-140,995-426,245-452,395-14,748,077-73,740,385

More Examples

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