Q: What are the factor combinations of the number 40,500,785?

 A:
Positive:   1 x 405007855 x 810015713 x 311544565 x 62308989 x 455065445 x 910131157 x 350055785 x 7001
Negative: -1 x -40500785-5 x -8100157-13 x -3115445-65 x -623089-89 x -455065-445 x -91013-1157 x -35005-5785 x -7001


How do I find the factor combinations of the number 40,500,785?

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 40,500,785, 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 40,500,785
-1 -40,500,785

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 40,500,785.

Example:
1 x 40,500,785 = 40,500,785
and
-1 x -40,500,785 = 40,500,785
Notice both answers equal 40,500,785

With that explanation out of the way, let's continue. Next, we take the number 40,500,785 and divide it by 2:

40,500,785 ÷ 2 = 20,250,392.5

If the quotient is a whole number, then 2 and 20,250,392.5 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 40,500,785
-1 -40,500,785

Now, we try dividing 40,500,785 by 3:

40,500,785 ÷ 3 = 13,500,261.6667

If the quotient is a whole number, then 3 and 13,500,261.6667 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 40,500,785
-1 -40,500,785

Let's try dividing by 4:

40,500,785 ÷ 4 = 10,125,196.25

If the quotient is a whole number, then 4 and 10,125,196.25 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 40,500,785
-1 40,500,785
Keep dividing by the next highest number until you cannot divide anymore.

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

151365894451,1575,7857,00135,00591,013455,065623,0893,115,4458,100,15740,500,785
-1-5-13-65-89-445-1,157-5,785-7,001-35,005-91,013-455,065-623,089-3,115,445-8,100,157-40,500,785

More Examples

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