Q: What are the factor combinations of the number 54,331,445?

 A:
Positive:   1 x 543314455 x 108662897 x 776163535 x 155232749 x 1108805211 x 257495245 x 2217611051 x 516951055 x 514991477 x 367855255 x 103397357 x 7385
Negative: -1 x -54331445-5 x -10866289-7 x -7761635-35 x -1552327-49 x -1108805-211 x -257495-245 x -221761-1051 x -51695-1055 x -51499-1477 x -36785-5255 x -10339-7357 x -7385


How do I find the factor combinations of the number 54,331,445?

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 54,331,445, 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 54,331,445
-1 -54,331,445

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 54,331,445.

Example:
1 x 54,331,445 = 54,331,445
and
-1 x -54,331,445 = 54,331,445
Notice both answers equal 54,331,445

With that explanation out of the way, let's continue. Next, we take the number 54,331,445 and divide it by 2:

54,331,445 ÷ 2 = 27,165,722.5

If the quotient is a whole number, then 2 and 27,165,722.5 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 54,331,445
-1 -54,331,445

Now, we try dividing 54,331,445 by 3:

54,331,445 ÷ 3 = 18,110,481.6667

If the quotient is a whole number, then 3 and 18,110,481.6667 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 54,331,445
-1 -54,331,445

Let's try dividing by 4:

54,331,445 ÷ 4 = 13,582,861.25

If the quotient is a whole number, then 4 and 13,582,861.25 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 54,331,445
-1 54,331,445
Keep dividing by the next highest number until you cannot divide anymore.

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

15735492112451,0511,0551,4775,2557,3577,38510,33936,78551,49951,695221,761257,4951,108,8051,552,3277,761,63510,866,28954,331,445
-1-5-7-35-49-211-245-1,051-1,055-1,477-5,255-7,357-7,385-10,339-36,785-51,499-51,695-221,761-257,495-1,108,805-1,552,327-7,761,635-10,866,289-54,331,445

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