Q: What are the factor combinations of the number 50,422,735?

 A:
Positive:   1 x 504227355 x 1008454711 x 458388529 x 173871555 x 916777101 x 499235145 x 347743313 x 161095319 x 158065505 x 998471111 x 453851565 x 322191595 x 316132929 x 172153443 x 146455555 x 9077
Negative: -1 x -50422735-5 x -10084547-11 x -4583885-29 x -1738715-55 x -916777-101 x -499235-145 x -347743-313 x -161095-319 x -158065-505 x -99847-1111 x -45385-1565 x -32219-1595 x -31613-2929 x -17215-3443 x -14645-5555 x -9077


How do I find the factor combinations of the number 50,422,735?

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 50,422,735, 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 50,422,735
-1 -50,422,735

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 50,422,735.

Example:
1 x 50,422,735 = 50,422,735
and
-1 x -50,422,735 = 50,422,735
Notice both answers equal 50,422,735

With that explanation out of the way, let's continue. Next, we take the number 50,422,735 and divide it by 2:

50,422,735 ÷ 2 = 25,211,367.5

If the quotient is a whole number, then 2 and 25,211,367.5 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 50,422,735
-1 -50,422,735

Now, we try dividing 50,422,735 by 3:

50,422,735 ÷ 3 = 16,807,578.3333

If the quotient is a whole number, then 3 and 16,807,578.3333 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 50,422,735
-1 -50,422,735

Let's try dividing by 4:

50,422,735 ÷ 4 = 12,605,683.75

If the quotient is a whole number, then 4 and 12,605,683.75 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 50,422,735
-1 50,422,735
Keep dividing by the next highest number until you cannot divide anymore.

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

151129551011453133195051,1111,5651,5952,9293,4435,5559,07714,64517,21531,61332,21945,38599,847158,065161,095347,743499,235916,7771,738,7154,583,88510,084,54750,422,735
-1-5-11-29-55-101-145-313-319-505-1,111-1,565-1,595-2,929-3,443-5,555-9,077-14,645-17,215-31,613-32,219-45,385-99,847-158,065-161,095-347,743-499,235-916,777-1,738,715-4,583,885-10,084,547-50,422,735

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