Q: What are the factor combinations of the number 722,472,673?

 A:
Positive:   1 x 72247267313 x 5557482147 x 15371759227 x 3182699611 x 11824432951 x 2448235209 x 13869710669 x 67717
Negative: -1 x -722472673-13 x -55574821-47 x -15371759-227 x -3182699-611 x -1182443-2951 x -244823-5209 x -138697-10669 x -67717


How do I find the factor combinations of the number 722,472,673?

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 722,472,673, 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.

1 722,472,673
-1 -722,472,673

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 722,472,673.

Example:
1 x 722,472,673 = 722,472,673
and
-1 x -722,472,673 = 722,472,673
Notice both answers equal 722,472,673

With that explanation out of the way, let's continue. Next, we take the number 722,472,673 and divide it by 2:

722,472,673 ÷ 2 = 361,236,336.5

If the quotient is a whole number, then 2 and 361,236,336.5 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:

1 722,472,673
-1 -722,472,673

Now, we try dividing 722,472,673 by 3:

722,472,673 ÷ 3 = 240,824,224.3333

If the quotient is a whole number, then 3 and 240,824,224.3333 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:

1 722,472,673
-1 -722,472,673

Let's try dividing by 4:

722,472,673 ÷ 4 = 180,618,168.25

If the quotient is a whole number, then 4 and 180,618,168.25 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:

1 722,472,673
-1 722,472,673
Keep dividing by the next highest number until you cannot divide anymore.

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

113472276112,9515,20910,66967,717138,697244,8231,182,4433,182,69915,371,75955,574,821722,472,673
-1-13-47-227-611-2,951-5,209-10,669-67,717-138,697-244,823-1,182,443-3,182,699-15,371,759-55,574,821-722,472,673

More Examples

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