Q: What are the factor combinations of the number 616,025,615?

 A:
Positive:   1 x 6160256155 x 12320512341 x 15025015191 x 3225265205 x 3005003955 x 6450537831 x 7866515733 x 39155
Negative: -1 x -616025615-5 x -123205123-41 x -15025015-191 x -3225265-205 x -3005003-955 x -645053-7831 x -78665-15733 x -39155


How do I find the factor combinations of the number 616,025,615?

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 616,025,615, 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.

1 616,025,615
-1 -616,025,615

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 616,025,615.

Example:
1 x 616,025,615 = 616,025,615
and
-1 x -616,025,615 = 616,025,615
Notice both answers equal 616,025,615

With that explanation out of the way, let's continue. Next, we take the number 616,025,615 and divide it by 2:

616,025,615 ÷ 2 = 308,012,807.5

If the quotient is a whole number, then 2 and 308,012,807.5 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:

1 616,025,615
-1 -616,025,615

Now, we try dividing 616,025,615 by 3:

616,025,615 ÷ 3 = 205,341,871.6667

If the quotient is a whole number, then 3 and 205,341,871.6667 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:

1 616,025,615
-1 -616,025,615

Let's try dividing by 4:

616,025,615 ÷ 4 = 154,006,403.75

If the quotient is a whole number, then 4 and 154,006,403.75 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:

1 616,025,615
-1 616,025,615
Keep dividing by the next highest number until you cannot divide anymore.

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

15411912059557,83115,73339,15578,665645,0533,005,0033,225,26515,025,015123,205,123616,025,615
-1-5-41-191-205-955-7,831-15,733-39,155-78,665-645,053-3,005,003-3,225,265-15,025,015-123,205,123-616,025,615

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