Q: What are the factor combinations of the number 722,475,869?

 A:
Positive:   1 x 72247586929 x 2491296147 x 153718271363 x 530063
Negative: -1 x -722475869-29 x -24912961-47 x -15371827-1363 x -530063


How do I find the factor combinations of the number 722,475,869?

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 722,475,869, 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.

1 722,475,869
-1 -722,475,869

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 722,475,869.

Example:
1 x 722,475,869 = 722,475,869
and
-1 x -722,475,869 = 722,475,869
Notice both answers equal 722,475,869

With that explanation out of the way, let's continue. Next, we take the number 722,475,869 and divide it by 2:

722,475,869 ÷ 2 = 361,237,934.5

If the quotient is a whole number, then 2 and 361,237,934.5 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:

1 722,475,869
-1 -722,475,869

Now, we try dividing 722,475,869 by 3:

722,475,869 ÷ 3 = 240,825,289.6667

If the quotient is a whole number, then 3 and 240,825,289.6667 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:

1 722,475,869
-1 -722,475,869

Let's try dividing by 4:

722,475,869 ÷ 4 = 180,618,967.25

If the quotient is a whole number, then 4 and 180,618,967.25 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:

1 722,475,869
-1 722,475,869
Keep dividing by the next highest number until you cannot divide anymore.

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

129471,363530,06315,371,82724,912,961722,475,869
-1-29-47-1,363-530,063-15,371,827-24,912,961-722,475,869

More Examples

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