Q: What are the factor combinations of the number 38,865,377?

 A:
Positive:   1 x 3886537723 x 168979953 x 7333091219 x 31883
Negative: -1 x -38865377-23 x -1689799-53 x -733309-1219 x -31883


How do I find the factor combinations of the number 38,865,377?

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 38,865,377, 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 38,865,377
-1 -38,865,377

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 38,865,377.

Example:
1 x 38,865,377 = 38,865,377
and
-1 x -38,865,377 = 38,865,377
Notice both answers equal 38,865,377

With that explanation out of the way, let's continue. Next, we take the number 38,865,377 and divide it by 2:

38,865,377 ÷ 2 = 19,432,688.5

If the quotient is a whole number, then 2 and 19,432,688.5 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 38,865,377
-1 -38,865,377

Now, we try dividing 38,865,377 by 3:

38,865,377 ÷ 3 = 12,955,125.6667

If the quotient is a whole number, then 3 and 12,955,125.6667 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 38,865,377
-1 -38,865,377

Let's try dividing by 4:

38,865,377 ÷ 4 = 9,716,344.25

If the quotient is a whole number, then 4 and 9,716,344.25 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 38,865,377
-1 38,865,377
Keep dividing by the next highest number until you cannot divide anymore.

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

123531,21931,883733,3091,689,79938,865,377
-1-23-53-1,219-31,883-733,309-1,689,799-38,865,377

More Examples

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