Q: What are the factor combinations of the number 20,103,025?

 A:
Positive:   1 x 201030255 x 402060525 x 80412137 x 543325103 x 195175185 x 108665211 x 95275515 x 39035925 x 217331055 x 190552575 x 78073811 x 5275
Negative: -1 x -20103025-5 x -4020605-25 x -804121-37 x -543325-103 x -195175-185 x -108665-211 x -95275-515 x -39035-925 x -21733-1055 x -19055-2575 x -7807-3811 x -5275


How do I find the factor combinations of the number 20,103,025?

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 20,103,025, 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 20,103,025
-1 -20,103,025

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 20,103,025.

Example:
1 x 20,103,025 = 20,103,025
and
-1 x -20,103,025 = 20,103,025
Notice both answers equal 20,103,025

With that explanation out of the way, let's continue. Next, we take the number 20,103,025 and divide it by 2:

20,103,025 ÷ 2 = 10,051,512.5

If the quotient is a whole number, then 2 and 10,051,512.5 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 20,103,025
-1 -20,103,025

Now, we try dividing 20,103,025 by 3:

20,103,025 ÷ 3 = 6,701,008.3333

If the quotient is a whole number, then 3 and 6,701,008.3333 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 20,103,025
-1 -20,103,025

Let's try dividing by 4:

20,103,025 ÷ 4 = 5,025,756.25

If the quotient is a whole number, then 4 and 5,025,756.25 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 20,103,025
-1 20,103,025
Keep dividing by the next highest number until you cannot divide anymore.

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

1525371031852115159251,0552,5753,8115,2757,80719,05521,73339,03595,275108,665195,175543,325804,1214,020,60520,103,025
-1-5-25-37-103-185-211-515-925-1,055-2,575-3,811-5,275-7,807-19,055-21,733-39,035-95,275-108,665-195,175-543,325-804,121-4,020,605-20,103,025

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