Q: What are the factor combinations of the number 40,571,335?

 A:
Positive:   1 x 405713355 x 81142677 x 579590535 x 1159181659 x 615651759 x 230653295 x 123134613 x 8795
Negative: -1 x -40571335-5 x -8114267-7 x -5795905-35 x -1159181-659 x -61565-1759 x -23065-3295 x -12313-4613 x -8795


How do I find the factor combinations of the number 40,571,335?

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 40,571,335, 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 40,571,335
-1 -40,571,335

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 40,571,335.

Example:
1 x 40,571,335 = 40,571,335
and
-1 x -40,571,335 = 40,571,335
Notice both answers equal 40,571,335

With that explanation out of the way, let's continue. Next, we take the number 40,571,335 and divide it by 2:

40,571,335 ÷ 2 = 20,285,667.5

If the quotient is a whole number, then 2 and 20,285,667.5 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 40,571,335
-1 -40,571,335

Now, we try dividing 40,571,335 by 3:

40,571,335 ÷ 3 = 13,523,778.3333

If the quotient is a whole number, then 3 and 13,523,778.3333 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 40,571,335
-1 -40,571,335

Let's try dividing by 4:

40,571,335 ÷ 4 = 10,142,833.75

If the quotient is a whole number, then 4 and 10,142,833.75 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 40,571,335
-1 40,571,335
Keep dividing by the next highest number until you cannot divide anymore.

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

157356591,7593,2954,6138,79512,31323,06561,5651,159,1815,795,9058,114,26740,571,335
-1-5-7-35-659-1,759-3,295-4,613-8,795-12,313-23,065-61,565-1,159,181-5,795,905-8,114,267-40,571,335

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