Q: What are the factor combinations of the number 50,142,521?

 A:
Positive:   1 x 5014252111 x 455841113 x 3857117121 x 414401127 x 394823143 x 350647251 x 1997711397 x 358931573 x 318771651 x 303712761 x 181613263 x 15367
Negative: -1 x -50142521-11 x -4558411-13 x -3857117-121 x -414401-127 x -394823-143 x -350647-251 x -199771-1397 x -35893-1573 x -31877-1651 x -30371-2761 x -18161-3263 x -15367


How do I find the factor combinations of the number 50,142,521?

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 50,142,521, 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 50,142,521
-1 -50,142,521

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 50,142,521.

Example:
1 x 50,142,521 = 50,142,521
and
-1 x -50,142,521 = 50,142,521
Notice both answers equal 50,142,521

With that explanation out of the way, let's continue. Next, we take the number 50,142,521 and divide it by 2:

50,142,521 ÷ 2 = 25,071,260.5

If the quotient is a whole number, then 2 and 25,071,260.5 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 50,142,521
-1 -50,142,521

Now, we try dividing 50,142,521 by 3:

50,142,521 ÷ 3 = 16,714,173.6667

If the quotient is a whole number, then 3 and 16,714,173.6667 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 50,142,521
-1 -50,142,521

Let's try dividing by 4:

50,142,521 ÷ 4 = 12,535,630.25

If the quotient is a whole number, then 4 and 12,535,630.25 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 50,142,521
-1 50,142,521
Keep dividing by the next highest number until you cannot divide anymore.

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

111131211271432511,3971,5731,6512,7613,26315,36718,16130,37131,87735,893199,771350,647394,823414,4013,857,1174,558,41150,142,521
-1-11-13-121-127-143-251-1,397-1,573-1,651-2,761-3,263-15,367-18,161-30,371-31,877-35,893-199,771-350,647-394,823-414,401-3,857,117-4,558,411-50,142,521

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