Q: What are the factor combinations of the number 56,676,521?

 A:
Positive:   1 x 5667652111 x 515241117 x 333391359 x 960619121 x 468401187 x 303083467 x 121363649 x 873291003 x 565072057 x 275535137 x 110337139 x 7939
Negative: -1 x -56676521-11 x -5152411-17 x -3333913-59 x -960619-121 x -468401-187 x -303083-467 x -121363-649 x -87329-1003 x -56507-2057 x -27553-5137 x -11033-7139 x -7939


How do I find the factor combinations of the number 56,676,521?

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 56,676,521, 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 56,676,521
-1 -56,676,521

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 56,676,521.

Example:
1 x 56,676,521 = 56,676,521
and
-1 x -56,676,521 = 56,676,521
Notice both answers equal 56,676,521

With that explanation out of the way, let's continue. Next, we take the number 56,676,521 and divide it by 2:

56,676,521 ÷ 2 = 28,338,260.5

If the quotient is a whole number, then 2 and 28,338,260.5 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 56,676,521
-1 -56,676,521

Now, we try dividing 56,676,521 by 3:

56,676,521 ÷ 3 = 18,892,173.6667

If the quotient is a whole number, then 3 and 18,892,173.6667 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 56,676,521
-1 -56,676,521

Let's try dividing by 4:

56,676,521 ÷ 4 = 14,169,130.25

If the quotient is a whole number, then 4 and 14,169,130.25 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 56,676,521
-1 56,676,521
Keep dividing by the next highest number until you cannot divide anymore.

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

11117591211874676491,0032,0575,1377,1397,93911,03327,55356,50787,329121,363303,083468,401960,6193,333,9135,152,41156,676,521
-1-11-17-59-121-187-467-649-1,003-2,057-5,137-7,139-7,939-11,033-27,553-56,507-87,329-121,363-303,083-468,401-960,619-3,333,913-5,152,411-56,676,521

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