Q: What are the factor combinations of the number 40,571,333?

 A:
Positive:   1 x 4057133311 x 368830317 x 238654923 x 1763971187 x 216959253 x 160361391 x 1037634301 x 9433
Negative: -1 x -40571333-11 x -3688303-17 x -2386549-23 x -1763971-187 x -216959-253 x -160361-391 x -103763-4301 x -9433


How do I find the factor combinations of the number 40,571,333?

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 40,571,333, 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 40,571,333
-1 -40,571,333

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 40,571,333.

Example:
1 x 40,571,333 = 40,571,333
and
-1 x -40,571,333 = 40,571,333
Notice both answers equal 40,571,333

With that explanation out of the way, let's continue. Next, we take the number 40,571,333 and divide it by 2:

40,571,333 ÷ 2 = 20,285,666.5

If the quotient is a whole number, then 2 and 20,285,666.5 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 40,571,333
-1 -40,571,333

Now, we try dividing 40,571,333 by 3:

40,571,333 ÷ 3 = 13,523,777.6667

If the quotient is a whole number, then 3 and 13,523,777.6667 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 40,571,333
-1 -40,571,333

Let's try dividing by 4:

40,571,333 ÷ 4 = 10,142,833.25

If the quotient is a whole number, then 4 and 10,142,833.25 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 40,571,333
-1 40,571,333
Keep dividing by the next highest number until you cannot divide anymore.

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

11117231872533914,3019,433103,763160,361216,9591,763,9712,386,5493,688,30340,571,333
-1-11-17-23-187-253-391-4,301-9,433-103,763-160,361-216,959-1,763,971-2,386,549-3,688,303-40,571,333

More Examples

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