Q: What are the factor combinations of the number 994,525?

 A:
Positive:   1 x 9945255 x 1989057 x 14207525 x 3978135 x 28415175 x 5683
Negative: -1 x -994525-5 x -198905-7 x -142075-25 x -39781-35 x -28415-175 x -5683


How do I find the factor combinations of the number 994,525?

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 994,525, 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.

1 994,525
-1 -994,525

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 994,525.

Example:
1 x 994,525 = 994,525
and
-1 x -994,525 = 994,525
Notice both answers equal 994,525

With that explanation out of the way, let's continue. Next, we take the number 994,525 and divide it by 2:

994,525 ÷ 2 = 497,262.5

If the quotient is a whole number, then 2 and 497,262.5 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:

1 994,525
-1 -994,525

Now, we try dividing 994,525 by 3:

994,525 ÷ 3 = 331,508.3333

If the quotient is a whole number, then 3 and 331,508.3333 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:

1 994,525
-1 -994,525

Let's try dividing by 4:

994,525 ÷ 4 = 248,631.25

If the quotient is a whole number, then 4 and 248,631.25 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:

1 994,525
-1 994,525
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351755,68328,41539,781142,075198,905994,525
-1-5-7-25-35-175-5,683-28,415-39,781-142,075-198,905-994,525

More Examples

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