Q: What are the factor combinations of the number 240,101,435?

 A:
Positive:   1 x 2401014355 x 480202877 x 3430020535 x 6860041677 x 3546553385 x 709314739 x 5066510133 x 23695
Negative: -1 x -240101435-5 x -48020287-7 x -34300205-35 x -6860041-677 x -354655-3385 x -70931-4739 x -50665-10133 x -23695


How do I find the factor combinations of the number 240,101,435?

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 240,101,435, 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.

1 240,101,435
-1 -240,101,435

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 240,101,435.

Example:
1 x 240,101,435 = 240,101,435
and
-1 x -240,101,435 = 240,101,435
Notice both answers equal 240,101,435

With that explanation out of the way, let's continue. Next, we take the number 240,101,435 and divide it by 2:

240,101,435 ÷ 2 = 120,050,717.5

If the quotient is a whole number, then 2 and 120,050,717.5 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:

1 240,101,435
-1 -240,101,435

Now, we try dividing 240,101,435 by 3:

240,101,435 ÷ 3 = 80,033,811.6667

If the quotient is a whole number, then 3 and 80,033,811.6667 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:

1 240,101,435
-1 -240,101,435

Let's try dividing by 4:

240,101,435 ÷ 4 = 60,025,358.75

If the quotient is a whole number, then 4 and 60,025,358.75 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:

1 240,101,435
-1 240,101,435
Keep dividing by the next highest number until you cannot divide anymore.

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

157356773,3854,73910,13323,69550,66570,931354,6556,860,04134,300,20548,020,287240,101,435
-1-5-7-35-677-3,385-4,739-10,133-23,695-50,665-70,931-354,655-6,860,041-34,300,205-48,020,287-240,101,435

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