Q: What are the factor combinations of the number 40,431,335?

 A:
Positive:   1 x 404313355 x 80862677 x 577590519 x 212796535 x 115518195 x 425593133 x 303995163 x 248045373 x 108395665 x 60799815 x 496091141 x 354351865 x 216792611 x 154853097 x 130555705 x 7087
Negative: -1 x -40431335-5 x -8086267-7 x -5775905-19 x -2127965-35 x -1155181-95 x -425593-133 x -303995-163 x -248045-373 x -108395-665 x -60799-815 x -49609-1141 x -35435-1865 x -21679-2611 x -15485-3097 x -13055-5705 x -7087


How do I find the factor combinations of the number 40,431,335?

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 40,431,335, 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 40,431,335
-1 -40,431,335

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 40,431,335.

Example:
1 x 40,431,335 = 40,431,335
and
-1 x -40,431,335 = 40,431,335
Notice both answers equal 40,431,335

With that explanation out of the way, let's continue. Next, we take the number 40,431,335 and divide it by 2:

40,431,335 ÷ 2 = 20,215,667.5

If the quotient is a whole number, then 2 and 20,215,667.5 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 40,431,335
-1 -40,431,335

Now, we try dividing 40,431,335 by 3:

40,431,335 ÷ 3 = 13,477,111.6667

If the quotient is a whole number, then 3 and 13,477,111.6667 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 40,431,335
-1 -40,431,335

Let's try dividing by 4:

40,431,335 ÷ 4 = 10,107,833.75

If the quotient is a whole number, then 4 and 10,107,833.75 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 40,431,335
-1 40,431,335
Keep dividing by the next highest number until you cannot divide anymore.

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

1571935951331633736658151,1411,8652,6113,0975,7057,08713,05515,48521,67935,43549,60960,799108,395248,045303,995425,5931,155,1812,127,9655,775,9058,086,26740,431,335
-1-5-7-19-35-95-133-163-373-665-815-1,141-1,865-2,611-3,097-5,705-7,087-13,055-15,485-21,679-35,435-49,609-60,799-108,395-248,045-303,995-425,593-1,155,181-2,127,965-5,775,905-8,086,267-40,431,335

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