Q: What are the factor combinations of the number 40,310,137?

 A:
Positive:   1 x 403101377 x 575859131 x 1300327217 x 185761431 x 935273017 x 13361
Negative: -1 x -40310137-7 x -5758591-31 x -1300327-217 x -185761-431 x -93527-3017 x -13361


How do I find the factor combinations of the number 40,310,137?

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 40,310,137, 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 40,310,137
-1 -40,310,137

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 40,310,137.

Example:
1 x 40,310,137 = 40,310,137
and
-1 x -40,310,137 = 40,310,137
Notice both answers equal 40,310,137

With that explanation out of the way, let's continue. Next, we take the number 40,310,137 and divide it by 2:

40,310,137 ÷ 2 = 20,155,068.5

If the quotient is a whole number, then 2 and 20,155,068.5 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 40,310,137
-1 -40,310,137

Now, we try dividing 40,310,137 by 3:

40,310,137 ÷ 3 = 13,436,712.3333

If the quotient is a whole number, then 3 and 13,436,712.3333 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 40,310,137
-1 -40,310,137

Let's try dividing by 4:

40,310,137 ÷ 4 = 10,077,534.25

If the quotient is a whole number, then 4 and 10,077,534.25 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 40,310,137
-1 40,310,137
Keep dividing by the next highest number until you cannot divide anymore.

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

17312174313,01713,36193,527185,7611,300,3275,758,59140,310,137
-1-7-31-217-431-3,017-13,361-93,527-185,761-1,300,327-5,758,591-40,310,137

More Examples

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