Q: What are the factor combinations of the number 5,725,525?

 A:
Positive:   1 x 57255255 x 114510513 x 44042525 x 22902165 x 8808579 x 72475223 x 25675325 x 17617395 x 144951027 x 55751115 x 51351975 x 2899
Negative: -1 x -5725525-5 x -1145105-13 x -440425-25 x -229021-65 x -88085-79 x -72475-223 x -25675-325 x -17617-395 x -14495-1027 x -5575-1115 x -5135-1975 x -2899


How do I find the factor combinations of the number 5,725,525?

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 5,725,525, 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 5,725,525
-1 -5,725,525

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 5,725,525.

Example:
1 x 5,725,525 = 5,725,525
and
-1 x -5,725,525 = 5,725,525
Notice both answers equal 5,725,525

With that explanation out of the way, let's continue. Next, we take the number 5,725,525 and divide it by 2:

5,725,525 ÷ 2 = 2,862,762.5

If the quotient is a whole number, then 2 and 2,862,762.5 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 5,725,525
-1 -5,725,525

Now, we try dividing 5,725,525 by 3:

5,725,525 ÷ 3 = 1,908,508.3333

If the quotient is a whole number, then 3 and 1,908,508.3333 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 5,725,525
-1 -5,725,525

Let's try dividing by 4:

5,725,525 ÷ 4 = 1,431,381.25

If the quotient is a whole number, then 4 and 1,431,381.25 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 5,725,525
-1 5,725,525
Keep dividing by the next highest number until you cannot divide anymore.

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

15132565792233253951,0271,1151,9752,8995,1355,57514,49517,61725,67572,47588,085229,021440,4251,145,1055,725,525
-1-5-13-25-65-79-223-325-395-1,027-1,115-1,975-2,899-5,135-5,575-14,495-17,617-25,675-72,475-88,085-229,021-440,425-1,145,105-5,725,525

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