Q: What are the factor combinations of the number 723,044,675?

 A:
Positive:   1 x 7230446755 x 14460893523 x 3143672525 x 2892178729 x 24932575115 x 6287345131 x 5519425145 x 4986515331 x 2184425575 x 1257469655 x 1103885667 x 1084025725 x 9973031655 x 4368853013 x 2399753275 x 2207773335 x 2168053799 x 1903257613 x 949758275 x 873779599 x 7532515065 x 4799516675 x 4336118995 x 38065
Negative: -1 x -723044675-5 x -144608935-23 x -31436725-25 x -28921787-29 x -24932575-115 x -6287345-131 x -5519425-145 x -4986515-331 x -2184425-575 x -1257469-655 x -1103885-667 x -1084025-725 x -997303-1655 x -436885-3013 x -239975-3275 x -220777-3335 x -216805-3799 x -190325-7613 x -94975-8275 x -87377-9599 x -75325-15065 x -47995-16675 x -43361-18995 x -38065


How do I find the factor combinations of the number 723,044,675?

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 723,044,675, 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.

1 723,044,675
-1 -723,044,675

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 723,044,675.

Example:
1 x 723,044,675 = 723,044,675
and
-1 x -723,044,675 = 723,044,675
Notice both answers equal 723,044,675

With that explanation out of the way, let's continue. Next, we take the number 723,044,675 and divide it by 2:

723,044,675 ÷ 2 = 361,522,337.5

If the quotient is a whole number, then 2 and 361,522,337.5 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:

1 723,044,675
-1 -723,044,675

Now, we try dividing 723,044,675 by 3:

723,044,675 ÷ 3 = 241,014,891.6667

If the quotient is a whole number, then 3 and 241,014,891.6667 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:

1 723,044,675
-1 -723,044,675

Let's try dividing by 4:

723,044,675 ÷ 4 = 180,761,168.75

If the quotient is a whole number, then 4 and 180,761,168.75 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:

1 723,044,675
-1 723,044,675
Keep dividing by the next highest number until you cannot divide anymore.

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

152325291151311453315756556677251,6553,0133,2753,3353,7997,6138,2759,59915,06516,67518,99538,06543,36147,99575,32587,37794,975190,325216,805220,777239,975436,885997,3031,084,0251,103,8851,257,4692,184,4254,986,5155,519,4256,287,34524,932,57528,921,78731,436,725144,608,935723,044,675
-1-5-23-25-29-115-131-145-331-575-655-667-725-1,655-3,013-3,275-3,335-3,799-7,613-8,275-9,599-15,065-16,675-18,995-38,065-43,361-47,995-75,325-87,377-94,975-190,325-216,805-220,777-239,975-436,885-997,303-1,084,025-1,103,885-1,257,469-2,184,425-4,986,515-5,519,425-6,287,345-24,932,575-28,921,787-31,436,725-144,608,935-723,044,675

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