Q: What are the factor combinations of the number 50,035,015?

 A:
Positive:   1 x 500350155 x 1000700343 x 1163605215 x 232721409 x 122335569 x 879352045 x 244672845 x 17587
Negative: -1 x -50035015-5 x -10007003-43 x -1163605-215 x -232721-409 x -122335-569 x -87935-2045 x -24467-2845 x -17587


How do I find the factor combinations of the number 50,035,015?

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 50,035,015, 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 50,035,015
-1 -50,035,015

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 50,035,015.

Example:
1 x 50,035,015 = 50,035,015
and
-1 x -50,035,015 = 50,035,015
Notice both answers equal 50,035,015

With that explanation out of the way, let's continue. Next, we take the number 50,035,015 and divide it by 2:

50,035,015 ÷ 2 = 25,017,507.5

If the quotient is a whole number, then 2 and 25,017,507.5 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 50,035,015
-1 -50,035,015

Now, we try dividing 50,035,015 by 3:

50,035,015 ÷ 3 = 16,678,338.3333

If the quotient is a whole number, then 3 and 16,678,338.3333 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 50,035,015
-1 -50,035,015

Let's try dividing by 4:

50,035,015 ÷ 4 = 12,508,753.75

If the quotient is a whole number, then 4 and 12,508,753.75 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 50,035,015
-1 50,035,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15432154095692,0452,84517,58724,46787,935122,335232,7211,163,60510,007,00350,035,015
-1-5-43-215-409-569-2,045-2,845-17,587-24,467-87,935-122,335-232,721-1,163,605-10,007,003-50,035,015

More Examples

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