Q: What are the factor combinations of the number 242,155,355?

 A:
Positive:   1 x 2421553555 x 4843107113 x 1862733565 x 3725467197 x 1229215985 x 2458432561 x 9455512805 x 18911
Negative: -1 x -242155355-5 x -48431071-13 x -18627335-65 x -3725467-197 x -1229215-985 x -245843-2561 x -94555-12805 x -18911


How do I find the factor combinations of the number 242,155,355?

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 242,155,355, 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.

1 242,155,355
-1 -242,155,355

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 242,155,355.

Example:
1 x 242,155,355 = 242,155,355
and
-1 x -242,155,355 = 242,155,355
Notice both answers equal 242,155,355

With that explanation out of the way, let's continue. Next, we take the number 242,155,355 and divide it by 2:

242,155,355 ÷ 2 = 121,077,677.5

If the quotient is a whole number, then 2 and 121,077,677.5 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:

1 242,155,355
-1 -242,155,355

Now, we try dividing 242,155,355 by 3:

242,155,355 ÷ 3 = 80,718,451.6667

If the quotient is a whole number, then 3 and 80,718,451.6667 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:

1 242,155,355
-1 -242,155,355

Let's try dividing by 4:

242,155,355 ÷ 4 = 60,538,838.75

If the quotient is a whole number, then 4 and 60,538,838.75 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:

1 242,155,355
-1 242,155,355
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651979852,56112,80518,91194,555245,8431,229,2153,725,46718,627,33548,431,071242,155,355
-1-5-13-65-197-985-2,561-12,805-18,911-94,555-245,843-1,229,215-3,725,467-18,627,335-48,431,071-242,155,355

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