Q: What are the factor combinations of the number 40,471,151?

 A:
Positive:   1 x 404711517 x 578159331 x 1305521217 x 186503421 x 96131443 x 913572947 x 137333101 x 13051
Negative: -1 x -40471151-7 x -5781593-31 x -1305521-217 x -186503-421 x -96131-443 x -91357-2947 x -13733-3101 x -13051


How do I find the factor combinations of the number 40,471,151?

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 40,471,151, 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 40,471,151
-1 -40,471,151

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 40,471,151.

Example:
1 x 40,471,151 = 40,471,151
and
-1 x -40,471,151 = 40,471,151
Notice both answers equal 40,471,151

With that explanation out of the way, let's continue. Next, we take the number 40,471,151 and divide it by 2:

40,471,151 ÷ 2 = 20,235,575.5

If the quotient is a whole number, then 2 and 20,235,575.5 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 40,471,151
-1 -40,471,151

Now, we try dividing 40,471,151 by 3:

40,471,151 ÷ 3 = 13,490,383.6667

If the quotient is a whole number, then 3 and 13,490,383.6667 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 40,471,151
-1 -40,471,151

Let's try dividing by 4:

40,471,151 ÷ 4 = 10,117,787.75

If the quotient is a whole number, then 4 and 10,117,787.75 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 40,471,151
-1 40,471,151
Keep dividing by the next highest number until you cannot divide anymore.

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

17312174214432,9473,10113,05113,73391,35796,131186,5031,305,5215,781,59340,471,151
-1-7-31-217-421-443-2,947-3,101-13,051-13,733-91,357-96,131-186,503-1,305,521-5,781,593-40,471,151

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