Q: What are the factor combinations of the number 5,003,525?

 A:
Positive:   1 x 50035255 x 100070517 x 29432525 x 20014161 x 8202585 x 58865193 x 25925305 x 16405425 x 11773965 x 51851037 x 48251525 x 3281
Negative: -1 x -5003525-5 x -1000705-17 x -294325-25 x -200141-61 x -82025-85 x -58865-193 x -25925-305 x -16405-425 x -11773-965 x -5185-1037 x -4825-1525 x -3281


How do I find the factor combinations of the number 5,003,525?

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 5,003,525, 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 5,003,525
-1 -5,003,525

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 5,003,525.

Example:
1 x 5,003,525 = 5,003,525
and
-1 x -5,003,525 = 5,003,525
Notice both answers equal 5,003,525

With that explanation out of the way, let's continue. Next, we take the number 5,003,525 and divide it by 2:

5,003,525 ÷ 2 = 2,501,762.5

If the quotient is a whole number, then 2 and 2,501,762.5 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 5,003,525
-1 -5,003,525

Now, we try dividing 5,003,525 by 3:

5,003,525 ÷ 3 = 1,667,841.6667

If the quotient is a whole number, then 3 and 1,667,841.6667 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 5,003,525
-1 -5,003,525

Let's try dividing by 4:

5,003,525 ÷ 4 = 1,250,881.25

If the quotient is a whole number, then 4 and 1,250,881.25 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 5,003,525
-1 5,003,525
Keep dividing by the next highest number until you cannot divide anymore.

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

15172561851933054259651,0371,5253,2814,8255,18511,77316,40525,92558,86582,025200,141294,3251,000,7055,003,525
-1-5-17-25-61-85-193-305-425-965-1,037-1,525-3,281-4,825-5,185-11,773-16,405-25,925-58,865-82,025-200,141-294,325-1,000,705-5,003,525

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