Q: What are the factor combinations of the number 40,559,035?

 A:
Positive:   1 x 405590355 x 811180711 x 368718555 x 737437349 x 1162151745 x 232432113 x 191953839 x 10565
Negative: -1 x -40559035-5 x -8111807-11 x -3687185-55 x -737437-349 x -116215-1745 x -23243-2113 x -19195-3839 x -10565


How do I find the factor combinations of the number 40,559,035?

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 40,559,035, 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 40,559,035
-1 -40,559,035

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 40,559,035.

Example:
1 x 40,559,035 = 40,559,035
and
-1 x -40,559,035 = 40,559,035
Notice both answers equal 40,559,035

With that explanation out of the way, let's continue. Next, we take the number 40,559,035 and divide it by 2:

40,559,035 ÷ 2 = 20,279,517.5

If the quotient is a whole number, then 2 and 20,279,517.5 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 40,559,035
-1 -40,559,035

Now, we try dividing 40,559,035 by 3:

40,559,035 ÷ 3 = 13,519,678.3333

If the quotient is a whole number, then 3 and 13,519,678.3333 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 40,559,035
-1 -40,559,035

Let's try dividing by 4:

40,559,035 ÷ 4 = 10,139,758.75

If the quotient is a whole number, then 4 and 10,139,758.75 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 40,559,035
-1 40,559,035
Keep dividing by the next highest number until you cannot divide anymore.

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

1511553491,7452,1133,83910,56519,19523,243116,215737,4373,687,1858,111,80740,559,035
-1-5-11-55-349-1,745-2,113-3,839-10,565-19,195-23,243-116,215-737,437-3,687,185-8,111,807-40,559,035

More Examples

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