Q: What are the factor combinations of the number 41,387,525?

 A:
Positive:   1 x 413875255 x 827750525 x 16555011087 x 380751523 x 271755435 x 7615
Negative: -1 x -41387525-5 x -8277505-25 x -1655501-1087 x -38075-1523 x -27175-5435 x -7615


How do I find the factor combinations of the number 41,387,525?

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 41,387,525, 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 41,387,525
-1 -41,387,525

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 41,387,525.

Example:
1 x 41,387,525 = 41,387,525
and
-1 x -41,387,525 = 41,387,525
Notice both answers equal 41,387,525

With that explanation out of the way, let's continue. Next, we take the number 41,387,525 and divide it by 2:

41,387,525 ÷ 2 = 20,693,762.5

If the quotient is a whole number, then 2 and 20,693,762.5 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 41,387,525
-1 -41,387,525

Now, we try dividing 41,387,525 by 3:

41,387,525 ÷ 3 = 13,795,841.6667

If the quotient is a whole number, then 3 and 13,795,841.6667 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 41,387,525
-1 -41,387,525

Let's try dividing by 4:

41,387,525 ÷ 4 = 10,346,881.25

If the quotient is a whole number, then 4 and 10,346,881.25 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 41,387,525
-1 41,387,525
Keep dividing by the next highest number until you cannot divide anymore.

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

15251,0871,5235,4357,61527,17538,0751,655,5018,277,50541,387,525
-1-5-25-1,087-1,523-5,435-7,615-27,175-38,075-1,655,501-8,277,505-41,387,525

More Examples

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