Q: What are the factor combinations of the number 616,352,605?

 A:
Positive:   1 x 6163526055 x 12327052111 x 5603205555 x 1120641183 x 7425935415 x 1485187913 x 6750854565 x 135017
Negative: -1 x -616352605-5 x -123270521-11 x -56032055-55 x -11206411-83 x -7425935-415 x -1485187-913 x -675085-4565 x -135017


How do I find the factor combinations of the number 616,352,605?

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 616,352,605, 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.

1 616,352,605
-1 -616,352,605

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 616,352,605.

Example:
1 x 616,352,605 = 616,352,605
and
-1 x -616,352,605 = 616,352,605
Notice both answers equal 616,352,605

With that explanation out of the way, let's continue. Next, we take the number 616,352,605 and divide it by 2:

616,352,605 ÷ 2 = 308,176,302.5

If the quotient is a whole number, then 2 and 308,176,302.5 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:

1 616,352,605
-1 -616,352,605

Now, we try dividing 616,352,605 by 3:

616,352,605 ÷ 3 = 205,450,868.3333

If the quotient is a whole number, then 3 and 205,450,868.3333 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:

1 616,352,605
-1 -616,352,605

Let's try dividing by 4:

616,352,605 ÷ 4 = 154,088,151.25

If the quotient is a whole number, then 4 and 154,088,151.25 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:

1 616,352,605
-1 616,352,605
Keep dividing by the next highest number until you cannot divide anymore.

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

151155834159134,565135,017675,0851,485,1877,425,93511,206,41156,032,055123,270,521616,352,605
-1-5-11-55-83-415-913-4,565-135,017-675,085-1,485,187-7,425,935-11,206,411-56,032,055-123,270,521-616,352,605

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