Q: What are the factor combinations of the number 321,003,423?

 A:
Positive:   1 x 3210034233 x 1070011419 x 3566704713 x 2469257119 x 1689491739 x 823085757 x 5631639117 x 2743619171 x 1877213197 x 1629459247 x 1299609591 x 543153733 x 437931741 x 4332031773 x 1810512199 x 1459772223 x 1444012561 x 1253433743 x 857616597 x 486597683 x 417819529 x 3368711229 x 2858713927 x 23049
Negative: -1 x -321003423-3 x -107001141-9 x -35667047-13 x -24692571-19 x -16894917-39 x -8230857-57 x -5631639-117 x -2743619-171 x -1877213-197 x -1629459-247 x -1299609-591 x -543153-733 x -437931-741 x -433203-1773 x -181051-2199 x -145977-2223 x -144401-2561 x -125343-3743 x -85761-6597 x -48659-7683 x -41781-9529 x -33687-11229 x -28587-13927 x -23049


How do I find the factor combinations of the number 321,003,423?

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 321,003,423, 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.

1 321,003,423
-1 -321,003,423

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 321,003,423.

Example:
1 x 321,003,423 = 321,003,423
and
-1 x -321,003,423 = 321,003,423
Notice both answers equal 321,003,423

With that explanation out of the way, let's continue. Next, we take the number 321,003,423 and divide it by 2:

321,003,423 ÷ 2 = 160,501,711.5

If the quotient is a whole number, then 2 and 160,501,711.5 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:

1 321,003,423
-1 -321,003,423

Now, we try dividing 321,003,423 by 3:

321,003,423 ÷ 3 = 107,001,141

If the quotient is a whole number, then 3 and 107,001,141 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 3 107,001,141 321,003,423
-1 -3 -107,001,141 -321,003,423

Let's try dividing by 4:

321,003,423 ÷ 4 = 80,250,855.75

If the quotient is a whole number, then 4 and 80,250,855.75 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 3 107,001,141 321,003,423
-1 -3 -107,001,141 321,003,423
Keep dividing by the next highest number until you cannot divide anymore.

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

139131939571171711972475917337411,7732,1992,2232,5613,7436,5977,6839,52911,22913,92723,04928,58733,68741,78148,65985,761125,343144,401145,977181,051433,203437,931543,1531,299,6091,629,4591,877,2132,743,6195,631,6398,230,85716,894,91724,692,57135,667,047107,001,141321,003,423
-1-3-9-13-19-39-57-117-171-197-247-591-733-741-1,773-2,199-2,223-2,561-3,743-6,597-7,683-9,529-11,229-13,927-23,049-28,587-33,687-41,781-48,659-85,761-125,343-144,401-145,977-181,051-433,203-437,931-543,153-1,299,609-1,629,459-1,877,213-2,743,619-5,631,639-8,230,857-16,894,917-24,692,571-35,667,047-107,001,141-321,003,423

More Examples

Here are some more numbers to try:

321,003,421321,003,422321,003,424321,003,425
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