Q: What are the factor combinations of the number 612,136,735?

 A:
Positive:   1 x 6121367355 x 1224273477 x 8744810535 x 17489621257 x 23818551285 x 4763711799 x 3402658995 x 68053
Negative: -1 x -612136735-5 x -122427347-7 x -87448105-35 x -17489621-257 x -2381855-1285 x -476371-1799 x -340265-8995 x -68053


How do I find the factor combinations of the number 612,136,735?

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 612,136,735, 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.

1 612,136,735
-1 -612,136,735

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 612,136,735.

Example:
1 x 612,136,735 = 612,136,735
and
-1 x -612,136,735 = 612,136,735
Notice both answers equal 612,136,735

With that explanation out of the way, let's continue. Next, we take the number 612,136,735 and divide it by 2:

612,136,735 ÷ 2 = 306,068,367.5

If the quotient is a whole number, then 2 and 306,068,367.5 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:

1 612,136,735
-1 -612,136,735

Now, we try dividing 612,136,735 by 3:

612,136,735 ÷ 3 = 204,045,578.3333

If the quotient is a whole number, then 3 and 204,045,578.3333 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:

1 612,136,735
-1 -612,136,735

Let's try dividing by 4:

612,136,735 ÷ 4 = 153,034,183.75

If the quotient is a whole number, then 4 and 153,034,183.75 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:

1 612,136,735
-1 612,136,735
Keep dividing by the next highest number until you cannot divide anymore.

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

157352571,2851,7998,99568,053340,265476,3712,381,85517,489,62187,448,105122,427,347612,136,735
-1-5-7-35-257-1,285-1,799-8,995-68,053-340,265-476,371-2,381,855-17,489,621-87,448,105-122,427,347-612,136,735

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