Q: What are the factor combinations of the number 51,342,643?

 A:
Positive:   1 x 5134264311 x 466751337 x 1387639101 x 508343407 x 1261491111 x 462131249 x 411073737 x 13739
Negative: -1 x -51342643-11 x -4667513-37 x -1387639-101 x -508343-407 x -126149-1111 x -46213-1249 x -41107-3737 x -13739


How do I find the factor combinations of the number 51,342,643?

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 51,342,643, 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 51,342,643
-1 -51,342,643

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 51,342,643.

Example:
1 x 51,342,643 = 51,342,643
and
-1 x -51,342,643 = 51,342,643
Notice both answers equal 51,342,643

With that explanation out of the way, let's continue. Next, we take the number 51,342,643 and divide it by 2:

51,342,643 ÷ 2 = 25,671,321.5

If the quotient is a whole number, then 2 and 25,671,321.5 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 51,342,643
-1 -51,342,643

Now, we try dividing 51,342,643 by 3:

51,342,643 ÷ 3 = 17,114,214.3333

If the quotient is a whole number, then 3 and 17,114,214.3333 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 51,342,643
-1 -51,342,643

Let's try dividing by 4:

51,342,643 ÷ 4 = 12,835,660.75

If the quotient is a whole number, then 4 and 12,835,660.75 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 51,342,643
-1 51,342,643
Keep dividing by the next highest number until you cannot divide anymore.

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

111371014071,1111,2493,73713,73941,10746,213126,149508,3431,387,6394,667,51351,342,643
-1-11-37-101-407-1,111-1,249-3,737-13,739-41,107-46,213-126,149-508,343-1,387,639-4,667,513-51,342,643

More Examples

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