Q: What are the factor combinations of the number 40,374,373?

 A:
Positive:   1 x 4037437313 x 310572119 x 2124967223 x 181051247 x 163459733 x 550812899 x 139274237 x 9529
Negative: -1 x -40374373-13 x -3105721-19 x -2124967-223 x -181051-247 x -163459-733 x -55081-2899 x -13927-4237 x -9529


How do I find the factor combinations of the number 40,374,373?

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 40,374,373, 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 40,374,373
-1 -40,374,373

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 40,374,373.

Example:
1 x 40,374,373 = 40,374,373
and
-1 x -40,374,373 = 40,374,373
Notice both answers equal 40,374,373

With that explanation out of the way, let's continue. Next, we take the number 40,374,373 and divide it by 2:

40,374,373 ÷ 2 = 20,187,186.5

If the quotient is a whole number, then 2 and 20,187,186.5 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 40,374,373
-1 -40,374,373

Now, we try dividing 40,374,373 by 3:

40,374,373 ÷ 3 = 13,458,124.3333

If the quotient is a whole number, then 3 and 13,458,124.3333 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 40,374,373
-1 -40,374,373

Let's try dividing by 4:

40,374,373 ÷ 4 = 10,093,593.25

If the quotient is a whole number, then 4 and 10,093,593.25 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 40,374,373
-1 40,374,373
Keep dividing by the next highest number until you cannot divide anymore.

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

113192232477332,8994,2379,52913,92755,081163,459181,0512,124,9673,105,72140,374,373
-1-13-19-223-247-733-2,899-4,237-9,529-13,927-55,081-163,459-181,051-2,124,967-3,105,721-40,374,373

More Examples

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