Q: What are the factor combinations of the number 28,240,025?

 A:
Positive:   1 x 282400255 x 564800511 x 256727525 x 112960155 x 513455103 x 274175275 x 102691515 x 54835997 x 283251133 x 249252575 x 109674985 x 5665
Negative: -1 x -28240025-5 x -5648005-11 x -2567275-25 x -1129601-55 x -513455-103 x -274175-275 x -102691-515 x -54835-997 x -28325-1133 x -24925-2575 x -10967-4985 x -5665


How do I find the factor combinations of the number 28,240,025?

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 28,240,025, 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 28,240,025
-1 -28,240,025

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 28,240,025.

Example:
1 x 28,240,025 = 28,240,025
and
-1 x -28,240,025 = 28,240,025
Notice both answers equal 28,240,025

With that explanation out of the way, let's continue. Next, we take the number 28,240,025 and divide it by 2:

28,240,025 ÷ 2 = 14,120,012.5

If the quotient is a whole number, then 2 and 14,120,012.5 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 28,240,025
-1 -28,240,025

Now, we try dividing 28,240,025 by 3:

28,240,025 ÷ 3 = 9,413,341.6667

If the quotient is a whole number, then 3 and 9,413,341.6667 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 28,240,025
-1 -28,240,025

Let's try dividing by 4:

28,240,025 ÷ 4 = 7,060,006.25

If the quotient is a whole number, then 4 and 7,060,006.25 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 28,240,025
-1 28,240,025
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551032755159971,1332,5754,9855,66510,96724,92528,32554,835102,691274,175513,4551,129,6012,567,2755,648,00528,240,025
-1-5-11-25-55-103-275-515-997-1,133-2,575-4,985-5,665-10,967-24,925-28,325-54,835-102,691-274,175-513,455-1,129,601-2,567,275-5,648,005-28,240,025

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