Q: What are the factor combinations of the number 612,131,609?

 A:
Positive:   1 x 61213160953 x 11549653101 x 6060709173 x 3538333661 x 9260695353 x 1143539169 x 6676117473 x 35033
Negative: -1 x -612131609-53 x -11549653-101 x -6060709-173 x -3538333-661 x -926069-5353 x -114353-9169 x -66761-17473 x -35033


How do I find the factor combinations of the number 612,131,609?

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 612,131,609, 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.

1 612,131,609
-1 -612,131,609

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 612,131,609.

Example:
1 x 612,131,609 = 612,131,609
and
-1 x -612,131,609 = 612,131,609
Notice both answers equal 612,131,609

With that explanation out of the way, let's continue. Next, we take the number 612,131,609 and divide it by 2:

612,131,609 ÷ 2 = 306,065,804.5

If the quotient is a whole number, then 2 and 306,065,804.5 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:

1 612,131,609
-1 -612,131,609

Now, we try dividing 612,131,609 by 3:

612,131,609 ÷ 3 = 204,043,869.6667

If the quotient is a whole number, then 3 and 204,043,869.6667 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:

1 612,131,609
-1 -612,131,609

Let's try dividing by 4:

612,131,609 ÷ 4 = 153,032,902.25

If the quotient is a whole number, then 4 and 153,032,902.25 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:

1 612,131,609
-1 612,131,609
Keep dividing by the next highest number until you cannot divide anymore.

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

1531011736615,3539,16917,47335,03366,761114,353926,0693,538,3336,060,70911,549,653612,131,609
-1-53-101-173-661-5,353-9,169-17,473-35,033-66,761-114,353-926,069-3,538,333-6,060,709-11,549,653-612,131,609

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