Q: What are the factor combinations of the number 61,423,135?

 A:
Positive:   1 x 614231355 x 1228462743 x 1428445109 x 563515215 x 285689545 x 1127032621 x 234354687 x 13105
Negative: -1 x -61423135-5 x -12284627-43 x -1428445-109 x -563515-215 x -285689-545 x -112703-2621 x -23435-4687 x -13105


How do I find the factor combinations of the number 61,423,135?

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 61,423,135, 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 61,423,135
-1 -61,423,135

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 61,423,135.

Example:
1 x 61,423,135 = 61,423,135
and
-1 x -61,423,135 = 61,423,135
Notice both answers equal 61,423,135

With that explanation out of the way, let's continue. Next, we take the number 61,423,135 and divide it by 2:

61,423,135 ÷ 2 = 30,711,567.5

If the quotient is a whole number, then 2 and 30,711,567.5 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 61,423,135
-1 -61,423,135

Now, we try dividing 61,423,135 by 3:

61,423,135 ÷ 3 = 20,474,378.3333

If the quotient is a whole number, then 3 and 20,474,378.3333 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 61,423,135
-1 -61,423,135

Let's try dividing by 4:

61,423,135 ÷ 4 = 15,355,783.75

If the quotient is a whole number, then 4 and 15,355,783.75 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 61,423,135
-1 61,423,135
Keep dividing by the next highest number until you cannot divide anymore.

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

15431092155452,6214,68713,10523,435112,703285,689563,5151,428,44512,284,62761,423,135
-1-5-43-109-215-545-2,621-4,687-13,105-23,435-112,703-285,689-563,515-1,428,445-12,284,627-61,423,135

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