Q: What are the factor combinations of the number 5,043,025?

 A:
Positive:   1 x 50430255 x 100860513 x 38792525 x 20172159 x 8547565 x 77585263 x 19175295 x 17095325 x 15517767 x 65751315 x 38351475 x 3419
Negative: -1 x -5043025-5 x -1008605-13 x -387925-25 x -201721-59 x -85475-65 x -77585-263 x -19175-295 x -17095-325 x -15517-767 x -6575-1315 x -3835-1475 x -3419


How do I find the factor combinations of the number 5,043,025?

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 5,043,025, 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 5,043,025
-1 -5,043,025

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 5,043,025.

Example:
1 x 5,043,025 = 5,043,025
and
-1 x -5,043,025 = 5,043,025
Notice both answers equal 5,043,025

With that explanation out of the way, let's continue. Next, we take the number 5,043,025 and divide it by 2:

5,043,025 ÷ 2 = 2,521,512.5

If the quotient is a whole number, then 2 and 2,521,512.5 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 5,043,025
-1 -5,043,025

Now, we try dividing 5,043,025 by 3:

5,043,025 ÷ 3 = 1,681,008.3333

If the quotient is a whole number, then 3 and 1,681,008.3333 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 5,043,025
-1 -5,043,025

Let's try dividing by 4:

5,043,025 ÷ 4 = 1,260,756.25

If the quotient is a whole number, then 4 and 1,260,756.25 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 5,043,025
-1 5,043,025
Keep dividing by the next highest number until you cannot divide anymore.

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

15132559652632953257671,3151,4753,4193,8356,57515,51717,09519,17577,58585,475201,721387,9251,008,6055,043,025
-1-5-13-25-59-65-263-295-325-767-1,315-1,475-3,419-3,835-6,575-15,517-17,095-19,175-77,585-85,475-201,721-387,925-1,008,605-5,043,025

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