Q: What are the factor combinations of the number 54,747,737?

 A:
Positive:   1 x 5474773711 x 497706729 x 188785373 x 749969319 x 171623803 x 681792117 x 258612351 x 23287
Negative: -1 x -54747737-11 x -4977067-29 x -1887853-73 x -749969-319 x -171623-803 x -68179-2117 x -25861-2351 x -23287


How do I find the factor combinations of the number 54,747,737?

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 54,747,737, 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 54,747,737
-1 -54,747,737

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 54,747,737.

Example:
1 x 54,747,737 = 54,747,737
and
-1 x -54,747,737 = 54,747,737
Notice both answers equal 54,747,737

With that explanation out of the way, let's continue. Next, we take the number 54,747,737 and divide it by 2:

54,747,737 ÷ 2 = 27,373,868.5

If the quotient is a whole number, then 2 and 27,373,868.5 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 54,747,737
-1 -54,747,737

Now, we try dividing 54,747,737 by 3:

54,747,737 ÷ 3 = 18,249,245.6667

If the quotient is a whole number, then 3 and 18,249,245.6667 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 54,747,737
-1 -54,747,737

Let's try dividing by 4:

54,747,737 ÷ 4 = 13,686,934.25

If the quotient is a whole number, then 4 and 13,686,934.25 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 54,747,737
-1 54,747,737
Keep dividing by the next highest number until you cannot divide anymore.

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

11129733198032,1172,35123,28725,86168,179171,623749,9691,887,8534,977,06754,747,737
-1-11-29-73-319-803-2,117-2,351-23,287-25,861-68,179-171,623-749,969-1,887,853-4,977,067-54,747,737

More Examples

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