Q: What are the factor combinations of the number 615,146,225?

 A:
Positive:   1 x 6151462255 x 12302924525 x 24605849409 x 15040252045 x 30080510225 x 60161
Negative: -1 x -615146225-5 x -123029245-25 x -24605849-409 x -1504025-2045 x -300805-10225 x -60161


How do I find the factor combinations of the number 615,146,225?

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 615,146,225, 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.

1 615,146,225
-1 -615,146,225

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 615,146,225.

Example:
1 x 615,146,225 = 615,146,225
and
-1 x -615,146,225 = 615,146,225
Notice both answers equal 615,146,225

With that explanation out of the way, let's continue. Next, we take the number 615,146,225 and divide it by 2:

615,146,225 ÷ 2 = 307,573,112.5

If the quotient is a whole number, then 2 and 307,573,112.5 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:

1 615,146,225
-1 -615,146,225

Now, we try dividing 615,146,225 by 3:

615,146,225 ÷ 3 = 205,048,741.6667

If the quotient is a whole number, then 3 and 205,048,741.6667 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:

1 615,146,225
-1 -615,146,225

Let's try dividing by 4:

615,146,225 ÷ 4 = 153,786,556.25

If the quotient is a whole number, then 4 and 153,786,556.25 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:

1 615,146,225
-1 615,146,225
Keep dividing by the next highest number until you cannot divide anymore.

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

15254092,04510,22560,161300,8051,504,02524,605,849123,029,245615,146,225
-1-5-25-409-2,045-10,225-60,161-300,805-1,504,025-24,605,849-123,029,245-615,146,225

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