Q: What are the factor combinations of the number 38,880,037?

 A:
Positive:   1 x 388800377 x 555429117 x 2287061119 x 326723289 x 1345332023 x 19219
Negative: -1 x -38880037-7 x -5554291-17 x -2287061-119 x -326723-289 x -134533-2023 x -19219


How do I find the factor combinations of the number 38,880,037?

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 38,880,037, 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 38,880,037
-1 -38,880,037

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 38,880,037.

Example:
1 x 38,880,037 = 38,880,037
and
-1 x -38,880,037 = 38,880,037
Notice both answers equal 38,880,037

With that explanation out of the way, let's continue. Next, we take the number 38,880,037 and divide it by 2:

38,880,037 ÷ 2 = 19,440,018.5

If the quotient is a whole number, then 2 and 19,440,018.5 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 38,880,037
-1 -38,880,037

Now, we try dividing 38,880,037 by 3:

38,880,037 ÷ 3 = 12,960,012.3333

If the quotient is a whole number, then 3 and 12,960,012.3333 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 38,880,037
-1 -38,880,037

Let's try dividing by 4:

38,880,037 ÷ 4 = 9,720,009.25

If the quotient is a whole number, then 4 and 9,720,009.25 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 38,880,037
-1 38,880,037
Keep dividing by the next highest number until you cannot divide anymore.

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

17171192892,02319,219134,533326,7232,287,0615,554,29138,880,037
-1-7-17-119-289-2,023-19,219-134,533-326,723-2,287,061-5,554,291-38,880,037

More Examples

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