Q: What are the factor combinations of the number 54,313,343?

 A:
Positive:   1 x 543133437 x 775904919 x 285859743 x 1263101133 x 408371301 x 180443817 x 664795719 x 9497
Negative: -1 x -54313343-7 x -7759049-19 x -2858597-43 x -1263101-133 x -408371-301 x -180443-817 x -66479-5719 x -9497


How do I find the factor combinations of the number 54,313,343?

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 54,313,343, 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 54,313,343
-1 -54,313,343

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 54,313,343.

Example:
1 x 54,313,343 = 54,313,343
and
-1 x -54,313,343 = 54,313,343
Notice both answers equal 54,313,343

With that explanation out of the way, let's continue. Next, we take the number 54,313,343 and divide it by 2:

54,313,343 ÷ 2 = 27,156,671.5

If the quotient is a whole number, then 2 and 27,156,671.5 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 54,313,343
-1 -54,313,343

Now, we try dividing 54,313,343 by 3:

54,313,343 ÷ 3 = 18,104,447.6667

If the quotient is a whole number, then 3 and 18,104,447.6667 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 54,313,343
-1 -54,313,343

Let's try dividing by 4:

54,313,343 ÷ 4 = 13,578,335.75

If the quotient is a whole number, then 4 and 13,578,335.75 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 54,313,343
-1 54,313,343
Keep dividing by the next highest number until you cannot divide anymore.

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

1719431333018175,7199,49766,479180,443408,3711,263,1012,858,5977,759,04954,313,343
-1-7-19-43-133-301-817-5,719-9,497-66,479-180,443-408,371-1,263,101-2,858,597-7,759,049-54,313,343

More Examples

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