Q: What are the factor combinations of the number 938,525?

 A:
Positive:   1 x 9385255 x 1877057 x 13407525 x 3754131 x 3027535 x 26815155 x 6055173 x 5425175 x 5363217 x 4325775 x 1211865 x 1085
Negative: -1 x -938525-5 x -187705-7 x -134075-25 x -37541-31 x -30275-35 x -26815-155 x -6055-173 x -5425-175 x -5363-217 x -4325-775 x -1211-865 x -1085


How do I find the factor combinations of the number 938,525?

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 938,525, 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.

1 938,525
-1 -938,525

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 938,525.

Example:
1 x 938,525 = 938,525
and
-1 x -938,525 = 938,525
Notice both answers equal 938,525

With that explanation out of the way, let's continue. Next, we take the number 938,525 and divide it by 2:

938,525 ÷ 2 = 469,262.5

If the quotient is a whole number, then 2 and 469,262.5 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:

1 938,525
-1 -938,525

Now, we try dividing 938,525 by 3:

938,525 ÷ 3 = 312,841.6667

If the quotient is a whole number, then 3 and 312,841.6667 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:

1 938,525
-1 -938,525

Let's try dividing by 4:

938,525 ÷ 4 = 234,631.25

If the quotient is a whole number, then 4 and 234,631.25 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:

1 938,525
-1 938,525
Keep dividing by the next highest number until you cannot divide anymore.

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

1572531351551731752177758651,0851,2114,3255,3635,4256,05526,81530,27537,541134,075187,705938,525
-1-5-7-25-31-35-155-173-175-217-775-865-1,085-1,211-4,325-5,363-5,425-6,055-26,815-30,275-37,541-134,075-187,705-938,525

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