Q: What are the factor combinations of the number 38,513,825?

 A:
Positive:   1 x 385138255 x 77027657 x 550197525 x 154055335 x 1100395101 x 381325175 x 220079505 x 76265707 x 544752179 x 176752525 x 152533535 x 10895
Negative: -1 x -38513825-5 x -7702765-7 x -5501975-25 x -1540553-35 x -1100395-101 x -381325-175 x -220079-505 x -76265-707 x -54475-2179 x -17675-2525 x -15253-3535 x -10895


How do I find the factor combinations of the number 38,513,825?

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 38,513,825, 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 38,513,825
-1 -38,513,825

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 38,513,825.

Example:
1 x 38,513,825 = 38,513,825
and
-1 x -38,513,825 = 38,513,825
Notice both answers equal 38,513,825

With that explanation out of the way, let's continue. Next, we take the number 38,513,825 and divide it by 2:

38,513,825 ÷ 2 = 19,256,912.5

If the quotient is a whole number, then 2 and 19,256,912.5 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 38,513,825
-1 -38,513,825

Now, we try dividing 38,513,825 by 3:

38,513,825 ÷ 3 = 12,837,941.6667

If the quotient is a whole number, then 3 and 12,837,941.6667 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 38,513,825
-1 -38,513,825

Let's try dividing by 4:

38,513,825 ÷ 4 = 9,628,456.25

If the quotient is a whole number, then 4 and 9,628,456.25 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 38,513,825
-1 38,513,825
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351011755057072,1792,5253,53510,89515,25317,67554,47576,265220,079381,3251,100,3951,540,5535,501,9757,702,76538,513,825
-1-5-7-25-35-101-175-505-707-2,179-2,525-3,535-10,895-15,253-17,675-54,475-76,265-220,079-381,325-1,100,395-1,540,553-5,501,975-7,702,765-38,513,825

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