Q: What are the factor combinations of the number 724,168,367?

 A:
Positive:   1 x 72416836713 x 5570525929 x 24971323151 x 4795817377 x 19208711963 x 3689094379 x 16537312721 x 56927
Negative: -1 x -724168367-13 x -55705259-29 x -24971323-151 x -4795817-377 x -1920871-1963 x -368909-4379 x -165373-12721 x -56927


How do I find the factor combinations of the number 724,168,367?

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 724,168,367, 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.

1 724,168,367
-1 -724,168,367

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 724,168,367.

Example:
1 x 724,168,367 = 724,168,367
and
-1 x -724,168,367 = 724,168,367
Notice both answers equal 724,168,367

With that explanation out of the way, let's continue. Next, we take the number 724,168,367 and divide it by 2:

724,168,367 ÷ 2 = 362,084,183.5

If the quotient is a whole number, then 2 and 362,084,183.5 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:

1 724,168,367
-1 -724,168,367

Now, we try dividing 724,168,367 by 3:

724,168,367 ÷ 3 = 241,389,455.6667

If the quotient is a whole number, then 3 and 241,389,455.6667 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:

1 724,168,367
-1 -724,168,367

Let's try dividing by 4:

724,168,367 ÷ 4 = 181,042,091.75

If the quotient is a whole number, then 4 and 181,042,091.75 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:

1 724,168,367
-1 724,168,367
Keep dividing by the next highest number until you cannot divide anymore.

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

113291513771,9634,37912,72156,927165,373368,9091,920,8714,795,81724,971,32355,705,259724,168,367
-1-13-29-151-377-1,963-4,379-12,721-56,927-165,373-368,909-1,920,871-4,795,817-24,971,323-55,705,259-724,168,367

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