Q: What are the factor combinations of the number 54,363,139?

 A:
Positive:   1 x 5436313929 x 187459161 x 89119979 x 688141389 x 1397511769 x 307312291 x 237294819 x 11281
Negative: -1 x -54363139-29 x -1874591-61 x -891199-79 x -688141-389 x -139751-1769 x -30731-2291 x -23729-4819 x -11281


How do I find the factor combinations of the number 54,363,139?

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 54,363,139, 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 54,363,139
-1 -54,363,139

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 54,363,139.

Example:
1 x 54,363,139 = 54,363,139
and
-1 x -54,363,139 = 54,363,139
Notice both answers equal 54,363,139

With that explanation out of the way, let's continue. Next, we take the number 54,363,139 and divide it by 2:

54,363,139 ÷ 2 = 27,181,569.5

If the quotient is a whole number, then 2 and 27,181,569.5 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 54,363,139
-1 -54,363,139

Now, we try dividing 54,363,139 by 3:

54,363,139 ÷ 3 = 18,121,046.3333

If the quotient is a whole number, then 3 and 18,121,046.3333 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 54,363,139
-1 -54,363,139

Let's try dividing by 4:

54,363,139 ÷ 4 = 13,590,784.75

If the quotient is a whole number, then 4 and 13,590,784.75 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 54,363,139
-1 54,363,139
Keep dividing by the next highest number until you cannot divide anymore.

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

12961793891,7692,2914,81911,28123,72930,731139,751688,141891,1991,874,59154,363,139
-1-29-61-79-389-1,769-2,291-4,819-11,281-23,729-30,731-139,751-688,141-891,199-1,874,591-54,363,139

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 54,363,139:


Ask a Question