Q: What are the factor combinations of the number 5,070,025?

 A:
Positive:   1 x 50700255 x 101400525 x 202801139 x 36475695 x 72951459 x 3475
Negative: -1 x -5070025-5 x -1014005-25 x -202801-139 x -36475-695 x -7295-1459 x -3475


How do I find the factor combinations of the number 5,070,025?

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 5,070,025, 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 5,070,025
-1 -5,070,025

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 5,070,025.

Example:
1 x 5,070,025 = 5,070,025
and
-1 x -5,070,025 = 5,070,025
Notice both answers equal 5,070,025

With that explanation out of the way, let's continue. Next, we take the number 5,070,025 and divide it by 2:

5,070,025 ÷ 2 = 2,535,012.5

If the quotient is a whole number, then 2 and 2,535,012.5 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 5,070,025
-1 -5,070,025

Now, we try dividing 5,070,025 by 3:

5,070,025 ÷ 3 = 1,690,008.3333

If the quotient is a whole number, then 3 and 1,690,008.3333 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 5,070,025
-1 -5,070,025

Let's try dividing by 4:

5,070,025 ÷ 4 = 1,267,506.25

If the quotient is a whole number, then 4 and 1,267,506.25 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 5,070,025
-1 5,070,025
Keep dividing by the next highest number until you cannot divide anymore.

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

15251396951,4593,4757,29536,475202,8011,014,0055,070,025
-1-5-25-139-695-1,459-3,475-7,295-36,475-202,801-1,014,005-5,070,025

More Examples

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