Q: What are the factor combinations of the number 40,670,245?

 A:
Positive:   1 x 406702455 x 81340497 x 581003511 x 369729535 x 116200749 x 83000555 x 73945977 x 528185245 x 166001385 x 105637539 x 754552695 x 15091
Negative: -1 x -40670245-5 x -8134049-7 x -5810035-11 x -3697295-35 x -1162007-49 x -830005-55 x -739459-77 x -528185-245 x -166001-385 x -105637-539 x -75455-2695 x -15091


How do I find the factor combinations of the number 40,670,245?

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 40,670,245, 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 40,670,245
-1 -40,670,245

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 40,670,245.

Example:
1 x 40,670,245 = 40,670,245
and
-1 x -40,670,245 = 40,670,245
Notice both answers equal 40,670,245

With that explanation out of the way, let's continue. Next, we take the number 40,670,245 and divide it by 2:

40,670,245 ÷ 2 = 20,335,122.5

If the quotient is a whole number, then 2 and 20,335,122.5 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 40,670,245
-1 -40,670,245

Now, we try dividing 40,670,245 by 3:

40,670,245 ÷ 3 = 13,556,748.3333

If the quotient is a whole number, then 3 and 13,556,748.3333 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 40,670,245
-1 -40,670,245

Let's try dividing by 4:

40,670,245 ÷ 4 = 10,167,561.25

If the quotient is a whole number, then 4 and 10,167,561.25 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 40,670,245
-1 40,670,245
Keep dividing by the next highest number until you cannot divide anymore.

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

15711354955772453855392,69515,09175,455105,637166,001528,185739,459830,0051,162,0073,697,2955,810,0358,134,04940,670,245
-1-5-7-11-35-49-55-77-245-385-539-2,695-15,091-75,455-105,637-166,001-528,185-739,459-830,005-1,162,007-3,697,295-5,810,035-8,134,049-40,670,245

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