Q: What are the factor combinations of the number 40,420,015?

 A:
Positive:   1 x 404200155 x 808400359 x 685085181 x 223315295 x 137017757 x 53395905 x 446633785 x 10679
Negative: -1 x -40420015-5 x -8084003-59 x -685085-181 x -223315-295 x -137017-757 x -53395-905 x -44663-3785 x -10679


How do I find the factor combinations of the number 40,420,015?

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 40,420,015, 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 40,420,015
-1 -40,420,015

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 40,420,015.

Example:
1 x 40,420,015 = 40,420,015
and
-1 x -40,420,015 = 40,420,015
Notice both answers equal 40,420,015

With that explanation out of the way, let's continue. Next, we take the number 40,420,015 and divide it by 2:

40,420,015 ÷ 2 = 20,210,007.5

If the quotient is a whole number, then 2 and 20,210,007.5 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 40,420,015
-1 -40,420,015

Now, we try dividing 40,420,015 by 3:

40,420,015 ÷ 3 = 13,473,338.3333

If the quotient is a whole number, then 3 and 13,473,338.3333 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 40,420,015
-1 -40,420,015

Let's try dividing by 4:

40,420,015 ÷ 4 = 10,105,003.75

If the quotient is a whole number, then 4 and 10,105,003.75 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 40,420,015
-1 40,420,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15591812957579053,78510,67944,66353,395137,017223,315685,0858,084,00340,420,015
-1-5-59-181-295-757-905-3,785-10,679-44,663-53,395-137,017-223,315-685,085-8,084,003-40,420,015

More Examples

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