Q: What are the factor combinations of the number 140,310,025?

 A:
Positive:   1 x 1403100255 x 2806200525 x 56124012207 x 635752543 x 5517511035 x 12715
Negative: -1 x -140310025-5 x -28062005-25 x -5612401-2207 x -63575-2543 x -55175-11035 x -12715


How do I find the factor combinations of the number 140,310,025?

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 140,310,025, 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.

1 140,310,025
-1 -140,310,025

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 140,310,025.

Example:
1 x 140,310,025 = 140,310,025
and
-1 x -140,310,025 = 140,310,025
Notice both answers equal 140,310,025

With that explanation out of the way, let's continue. Next, we take the number 140,310,025 and divide it by 2:

140,310,025 ÷ 2 = 70,155,012.5

If the quotient is a whole number, then 2 and 70,155,012.5 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:

1 140,310,025
-1 -140,310,025

Now, we try dividing 140,310,025 by 3:

140,310,025 ÷ 3 = 46,770,008.3333

If the quotient is a whole number, then 3 and 46,770,008.3333 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:

1 140,310,025
-1 -140,310,025

Let's try dividing by 4:

140,310,025 ÷ 4 = 35,077,506.25

If the quotient is a whole number, then 4 and 35,077,506.25 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:

1 140,310,025
-1 140,310,025
Keep dividing by the next highest number until you cannot divide anymore.

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

15252,2072,54311,03512,71555,17563,5755,612,40128,062,005140,310,025
-1-5-25-2,207-2,543-11,035-12,715-55,175-63,575-5,612,401-28,062,005-140,310,025

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