Q: What are the factor combinations of the number 28,620,979?

 A:
Positive:   1 x 2862097917 x 168358747 x 608957113 x 253283317 x 90287799 x 358211921 x 148995311 x 5389
Negative: -1 x -28620979-17 x -1683587-47 x -608957-113 x -253283-317 x -90287-799 x -35821-1921 x -14899-5311 x -5389


How do I find the factor combinations of the number 28,620,979?

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 28,620,979, 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 28,620,979
-1 -28,620,979

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 28,620,979.

Example:
1 x 28,620,979 = 28,620,979
and
-1 x -28,620,979 = 28,620,979
Notice both answers equal 28,620,979

With that explanation out of the way, let's continue. Next, we take the number 28,620,979 and divide it by 2:

28,620,979 ÷ 2 = 14,310,489.5

If the quotient is a whole number, then 2 and 14,310,489.5 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 28,620,979
-1 -28,620,979

Now, we try dividing 28,620,979 by 3:

28,620,979 ÷ 3 = 9,540,326.3333

If the quotient is a whole number, then 3 and 9,540,326.3333 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 28,620,979
-1 -28,620,979

Let's try dividing by 4:

28,620,979 ÷ 4 = 7,155,244.75

If the quotient is a whole number, then 4 and 7,155,244.75 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 28,620,979
-1 28,620,979
Keep dividing by the next highest number until you cannot divide anymore.

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

117471133177991,9215,3115,38914,89935,82190,287253,283608,9571,683,58728,620,979
-1-17-47-113-317-799-1,921-5,311-5,389-14,899-35,821-90,287-253,283-608,957-1,683,587-28,620,979

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