Q: What are the factor combinations of the number 40,210,435?

 A:
Positive:   1 x 402104355 x 80420871069 x 376155345 x 7523
Negative: -1 x -40210435-5 x -8042087-1069 x -37615-5345 x -7523


How do I find the factor combinations of the number 40,210,435?

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 40,210,435, 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 40,210,435
-1 -40,210,435

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 40,210,435.

Example:
1 x 40,210,435 = 40,210,435
and
-1 x -40,210,435 = 40,210,435
Notice both answers equal 40,210,435

With that explanation out of the way, let's continue. Next, we take the number 40,210,435 and divide it by 2:

40,210,435 ÷ 2 = 20,105,217.5

If the quotient is a whole number, then 2 and 20,105,217.5 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 40,210,435
-1 -40,210,435

Now, we try dividing 40,210,435 by 3:

40,210,435 ÷ 3 = 13,403,478.3333

If the quotient is a whole number, then 3 and 13,403,478.3333 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 40,210,435
-1 -40,210,435

Let's try dividing by 4:

40,210,435 ÷ 4 = 10,052,608.75

If the quotient is a whole number, then 4 and 10,052,608.75 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 40,210,435
-1 40,210,435
Keep dividing by the next highest number until you cannot divide anymore.

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

151,0695,3457,52337,6158,042,08740,210,435
-1-5-1,069-5,345-7,523-37,615-8,042,087-40,210,435

More Examples

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