Q: What are the factor combinations of the number 499,525?

 A:
Positive:   1 x 4995255 x 9990513 x 3842525 x 1998129 x 1722553 x 942565 x 7685145 x 3445265 x 1885325 x 1537377 x 1325689 x 725
Negative: -1 x -499525-5 x -99905-13 x -38425-25 x -19981-29 x -17225-53 x -9425-65 x -7685-145 x -3445-265 x -1885-325 x -1537-377 x -1325-689 x -725


How do I find the factor combinations of the number 499,525?

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 499,525, 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.

1 499,525
-1 -499,525

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 499,525.

Example:
1 x 499,525 = 499,525
and
-1 x -499,525 = 499,525
Notice both answers equal 499,525

With that explanation out of the way, let's continue. Next, we take the number 499,525 and divide it by 2:

499,525 ÷ 2 = 249,762.5

If the quotient is a whole number, then 2 and 249,762.5 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:

1 499,525
-1 -499,525

Now, we try dividing 499,525 by 3:

499,525 ÷ 3 = 166,508.3333

If the quotient is a whole number, then 3 and 166,508.3333 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:

1 499,525
-1 -499,525

Let's try dividing by 4:

499,525 ÷ 4 = 124,881.25

If the quotient is a whole number, then 4 and 124,881.25 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:

1 499,525
-1 499,525
Keep dividing by the next highest number until you cannot divide anymore.

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

1513252953651452653253776897251,3251,5371,8853,4457,6859,42517,22519,98138,42599,905499,525
-1-5-13-25-29-53-65-145-265-325-377-689-725-1,325-1,537-1,885-3,445-7,685-9,425-17,225-19,981-38,425-99,905-499,525

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