Q: What are the factor combinations of the number 847,440,533?

 A:
Positive:   1 x 8474405332017 x 420149
Negative: -1 x -847440533-2017 x -420149


How do I find the factor combinations of the number 847,440,533?

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 847,440,533, 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.

1 847,440,533
-1 -847,440,533

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 847,440,533.

Example:
1 x 847,440,533 = 847,440,533
and
-1 x -847,440,533 = 847,440,533
Notice both answers equal 847,440,533

With that explanation out of the way, let's continue. Next, we take the number 847,440,533 and divide it by 2:

847,440,533 ÷ 2 = 423,720,266.5

If the quotient is a whole number, then 2 and 423,720,266.5 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:

1 847,440,533
-1 -847,440,533

Now, we try dividing 847,440,533 by 3:

847,440,533 ÷ 3 = 282,480,177.6667

If the quotient is a whole number, then 3 and 282,480,177.6667 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:

1 847,440,533
-1 -847,440,533

Let's try dividing by 4:

847,440,533 ÷ 4 = 211,860,133.25

If the quotient is a whole number, then 4 and 211,860,133.25 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:

1 847,440,533
-1 847,440,533
Keep dividing by the next highest number until you cannot divide anymore.

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

12,017420,149847,440,533
-1-2,017-420,149-847,440,533

More Examples

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