Q: What are the factor combinations of the number 616,204,625?

 A:
Positive:   1 x 6162046255 x 12324092525 x 2464818597 x 6352625125 x 4929637485 x 12705252425 x 25410512125 x 50821
Negative: -1 x -616204625-5 x -123240925-25 x -24648185-97 x -6352625-125 x -4929637-485 x -1270525-2425 x -254105-12125 x -50821


How do I find the factor combinations of the number 616,204,625?

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 616,204,625, 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.

1 616,204,625
-1 -616,204,625

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 616,204,625.

Example:
1 x 616,204,625 = 616,204,625
and
-1 x -616,204,625 = 616,204,625
Notice both answers equal 616,204,625

With that explanation out of the way, let's continue. Next, we take the number 616,204,625 and divide it by 2:

616,204,625 ÷ 2 = 308,102,312.5

If the quotient is a whole number, then 2 and 308,102,312.5 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:

1 616,204,625
-1 -616,204,625

Now, we try dividing 616,204,625 by 3:

616,204,625 ÷ 3 = 205,401,541.6667

If the quotient is a whole number, then 3 and 205,401,541.6667 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:

1 616,204,625
-1 -616,204,625

Let's try dividing by 4:

616,204,625 ÷ 4 = 154,051,156.25

If the quotient is a whole number, then 4 and 154,051,156.25 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:

1 616,204,625
-1 616,204,625
Keep dividing by the next highest number until you cannot divide anymore.

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

1525971254852,42512,12550,821254,1051,270,5254,929,6376,352,62524,648,185123,240,925616,204,625
-1-5-25-97-125-485-2,425-12,125-50,821-254,105-1,270,525-4,929,637-6,352,625-24,648,185-123,240,925-616,204,625

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