Q: What are the factor combinations of the number 616,120,555?

 A:
Positive:   1 x 6161205555 x 12322411143 x 14328385215 x 2865677541 x 11388552705 x 2277715297 x 11631523263 x 26485
Negative: -1 x -616120555-5 x -123224111-43 x -14328385-215 x -2865677-541 x -1138855-2705 x -227771-5297 x -116315-23263 x -26485


How do I find the factor combinations of the number 616,120,555?

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 616,120,555, 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.

1 616,120,555
-1 -616,120,555

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 616,120,555.

Example:
1 x 616,120,555 = 616,120,555
and
-1 x -616,120,555 = 616,120,555
Notice both answers equal 616,120,555

With that explanation out of the way, let's continue. Next, we take the number 616,120,555 and divide it by 2:

616,120,555 ÷ 2 = 308,060,277.5

If the quotient is a whole number, then 2 and 308,060,277.5 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:

1 616,120,555
-1 -616,120,555

Now, we try dividing 616,120,555 by 3:

616,120,555 ÷ 3 = 205,373,518.3333

If the quotient is a whole number, then 3 and 205,373,518.3333 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:

1 616,120,555
-1 -616,120,555

Let's try dividing by 4:

616,120,555 ÷ 4 = 154,030,138.75

If the quotient is a whole number, then 4 and 154,030,138.75 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:

1 616,120,555
-1 616,120,555
Keep dividing by the next highest number until you cannot divide anymore.

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

15432155412,7055,29723,26326,485116,315227,7711,138,8552,865,67714,328,385123,224,111616,120,555
-1-5-43-215-541-2,705-5,297-23,263-26,485-116,315-227,771-1,138,855-2,865,677-14,328,385-123,224,111-616,120,555

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