Q: What are the factor combinations of the number 483,428,675?

 A:
Positive:   1 x 4834286755 x 9668573525 x 19337147107 x 4518025127 x 3806525535 x 903605635 x 7613051423 x 3397252675 x 1807213175 x 1522617115 x 6794513589 x 35575
Negative: -1 x -483428675-5 x -96685735-25 x -19337147-107 x -4518025-127 x -3806525-535 x -903605-635 x -761305-1423 x -339725-2675 x -180721-3175 x -152261-7115 x -67945-13589 x -35575


How do I find the factor combinations of the number 483,428,675?

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 483,428,675, 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.

1 483,428,675
-1 -483,428,675

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 483,428,675.

Example:
1 x 483,428,675 = 483,428,675
and
-1 x -483,428,675 = 483,428,675
Notice both answers equal 483,428,675

With that explanation out of the way, let's continue. Next, we take the number 483,428,675 and divide it by 2:

483,428,675 ÷ 2 = 241,714,337.5

If the quotient is a whole number, then 2 and 241,714,337.5 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:

1 483,428,675
-1 -483,428,675

Now, we try dividing 483,428,675 by 3:

483,428,675 ÷ 3 = 161,142,891.6667

If the quotient is a whole number, then 3 and 161,142,891.6667 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:

1 483,428,675
-1 -483,428,675

Let's try dividing by 4:

483,428,675 ÷ 4 = 120,857,168.75

If the quotient is a whole number, then 4 and 120,857,168.75 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:

1 483,428,675
-1 483,428,675
Keep dividing by the next highest number until you cannot divide anymore.

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

15251071275356351,4232,6753,1757,11513,58935,57567,945152,261180,721339,725761,305903,6053,806,5254,518,02519,337,14796,685,735483,428,675
-1-5-25-107-127-535-635-1,423-2,675-3,175-7,115-13,589-35,575-67,945-152,261-180,721-339,725-761,305-903,605-3,806,525-4,518,025-19,337,147-96,685,735-483,428,675

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