Q: What are the factor combinations of the number 242,283,365?

 A:
Positive:   1 x 2422833655 x 4845667389 x 2722285445 x 544457673 x 360005809 x 2994853365 x 720014045 x 59897
Negative: -1 x -242283365-5 x -48456673-89 x -2722285-445 x -544457-673 x -360005-809 x -299485-3365 x -72001-4045 x -59897


How do I find the factor combinations of the number 242,283,365?

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 242,283,365, 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.

1 242,283,365
-1 -242,283,365

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 242,283,365.

Example:
1 x 242,283,365 = 242,283,365
and
-1 x -242,283,365 = 242,283,365
Notice both answers equal 242,283,365

With that explanation out of the way, let's continue. Next, we take the number 242,283,365 and divide it by 2:

242,283,365 ÷ 2 = 121,141,682.5

If the quotient is a whole number, then 2 and 121,141,682.5 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:

1 242,283,365
-1 -242,283,365

Now, we try dividing 242,283,365 by 3:

242,283,365 ÷ 3 = 80,761,121.6667

If the quotient is a whole number, then 3 and 80,761,121.6667 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:

1 242,283,365
-1 -242,283,365

Let's try dividing by 4:

242,283,365 ÷ 4 = 60,570,841.25

If the quotient is a whole number, then 4 and 60,570,841.25 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:

1 242,283,365
-1 242,283,365
Keep dividing by the next highest number until you cannot divide anymore.

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

15894456738093,3654,04559,89772,001299,485360,005544,4572,722,28548,456,673242,283,365
-1-5-89-445-673-809-3,365-4,045-59,897-72,001-299,485-360,005-544,457-2,722,285-48,456,673-242,283,365

More Examples

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