Q: What are the factor combinations of the number 84,548,845?

 A:
Positive:   1 x 845488455 x 16909769401 x 2108452005 x 42169
Negative: -1 x -84548845-5 x -16909769-401 x -210845-2005 x -42169


How do I find the factor combinations of the number 84,548,845?

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 84,548,845, 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 84,548,845
-1 -84,548,845

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 84,548,845.

Example:
1 x 84,548,845 = 84,548,845
and
-1 x -84,548,845 = 84,548,845
Notice both answers equal 84,548,845

With that explanation out of the way, let's continue. Next, we take the number 84,548,845 and divide it by 2:

84,548,845 ÷ 2 = 42,274,422.5

If the quotient is a whole number, then 2 and 42,274,422.5 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 84,548,845
-1 -84,548,845

Now, we try dividing 84,548,845 by 3:

84,548,845 ÷ 3 = 28,182,948.3333

If the quotient is a whole number, then 3 and 28,182,948.3333 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 84,548,845
-1 -84,548,845

Let's try dividing by 4:

84,548,845 ÷ 4 = 21,137,211.25

If the quotient is a whole number, then 4 and 21,137,211.25 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 84,548,845
-1 84,548,845
Keep dividing by the next highest number until you cannot divide anymore.

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

154012,00542,169210,84516,909,76984,548,845
-1-5-401-2,005-42,169-210,845-16,909,769-84,548,845

More Examples

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