Q: What are the factor combinations of the number 38,877,685?

 A:
Positive:   1 x 388776855 x 77755377 x 555395511 x 353433535 x 111079155 x 70686777 x 504905385 x 100981
Negative: -1 x -38877685-5 x -7775537-7 x -5553955-11 x -3534335-35 x -1110791-55 x -706867-77 x -504905-385 x -100981


How do I find the factor combinations of the number 38,877,685?

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 38,877,685, 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 38,877,685
-1 -38,877,685

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 38,877,685.

Example:
1 x 38,877,685 = 38,877,685
and
-1 x -38,877,685 = 38,877,685
Notice both answers equal 38,877,685

With that explanation out of the way, let's continue. Next, we take the number 38,877,685 and divide it by 2:

38,877,685 ÷ 2 = 19,438,842.5

If the quotient is a whole number, then 2 and 19,438,842.5 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 38,877,685
-1 -38,877,685

Now, we try dividing 38,877,685 by 3:

38,877,685 ÷ 3 = 12,959,228.3333

If the quotient is a whole number, then 3 and 12,959,228.3333 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 38,877,685
-1 -38,877,685

Let's try dividing by 4:

38,877,685 ÷ 4 = 9,719,421.25

If the quotient is a whole number, then 4 and 9,719,421.25 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 38,877,685
-1 38,877,685
Keep dividing by the next highest number until you cannot divide anymore.

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

15711355577385100,981504,905706,8671,110,7913,534,3355,553,9557,775,53738,877,685
-1-5-7-11-35-55-77-385-100,981-504,905-706,867-1,110,791-3,534,335-5,553,955-7,775,537-38,877,685

More Examples

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