Q: What are the factor combinations of the number 242,253,013?

 A:
Positive:   1 x 24225301343 x 563379183 x 2918711103 x 2351971659 x 3676073569 x 678774429 x 546978549 x 28337
Negative: -1 x -242253013-43 x -5633791-83 x -2918711-103 x -2351971-659 x -367607-3569 x -67877-4429 x -54697-8549 x -28337


How do I find the factor combinations of the number 242,253,013?

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 242,253,013, 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.

1 242,253,013
-1 -242,253,013

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 242,253,013.

Example:
1 x 242,253,013 = 242,253,013
and
-1 x -242,253,013 = 242,253,013
Notice both answers equal 242,253,013

With that explanation out of the way, let's continue. Next, we take the number 242,253,013 and divide it by 2:

242,253,013 ÷ 2 = 121,126,506.5

If the quotient is a whole number, then 2 and 121,126,506.5 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:

1 242,253,013
-1 -242,253,013

Now, we try dividing 242,253,013 by 3:

242,253,013 ÷ 3 = 80,751,004.3333

If the quotient is a whole number, then 3 and 80,751,004.3333 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:

1 242,253,013
-1 -242,253,013

Let's try dividing by 4:

242,253,013 ÷ 4 = 60,563,253.25

If the quotient is a whole number, then 4 and 60,563,253.25 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:

1 242,253,013
-1 242,253,013
Keep dividing by the next highest number until you cannot divide anymore.

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

143831036593,5694,4298,54928,33754,69767,877367,6072,351,9712,918,7115,633,791242,253,013
-1-43-83-103-659-3,569-4,429-8,549-28,337-54,697-67,877-367,607-2,351,971-2,918,711-5,633,791-242,253,013

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