Q: What are the factor combinations of the number 204,001,525?

 A:
Positive:   1 x 2040015255 x 408003057 x 2914307513 x 1569242525 x 816006135 x 582861565 x 313848591 x 2241775175 x 1165723325 x 627697455 x 4483552275 x 89671
Negative: -1 x -204001525-5 x -40800305-7 x -29143075-13 x -15692425-25 x -8160061-35 x -5828615-65 x -3138485-91 x -2241775-175 x -1165723-325 x -627697-455 x -448355-2275 x -89671


How do I find the factor combinations of the number 204,001,525?

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 204,001,525, 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.

1 204,001,525
-1 -204,001,525

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 204,001,525.

Example:
1 x 204,001,525 = 204,001,525
and
-1 x -204,001,525 = 204,001,525
Notice both answers equal 204,001,525

With that explanation out of the way, let's continue. Next, we take the number 204,001,525 and divide it by 2:

204,001,525 ÷ 2 = 102,000,762.5

If the quotient is a whole number, then 2 and 102,000,762.5 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:

1 204,001,525
-1 -204,001,525

Now, we try dividing 204,001,525 by 3:

204,001,525 ÷ 3 = 68,000,508.3333

If the quotient is a whole number, then 3 and 68,000,508.3333 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:

1 204,001,525
-1 -204,001,525

Let's try dividing by 4:

204,001,525 ÷ 4 = 51,000,381.25

If the quotient is a whole number, then 4 and 51,000,381.25 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:

1 204,001,525
-1 204,001,525
Keep dividing by the next highest number until you cannot divide anymore.

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

15713253565911753254552,27589,671448,355627,6971,165,7232,241,7753,138,4855,828,6158,160,06115,692,42529,143,07540,800,305204,001,525
-1-5-7-13-25-35-65-91-175-325-455-2,275-89,671-448,355-627,697-1,165,723-2,241,775-3,138,485-5,828,615-8,160,061-15,692,425-29,143,075-40,800,305-204,001,525

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