Q: What are the factor combinations of the number 242,420,321?

 A:
Positive:   1 x 24242032111 x 2203821113 x 1864771759 x 4108819143 x 1695247487 x 497783649 x 373529767 x 3160633481 x 696415357 x 452536331 x 382918437 x 28733
Negative: -1 x -242420321-11 x -22038211-13 x -18647717-59 x -4108819-143 x -1695247-487 x -497783-649 x -373529-767 x -316063-3481 x -69641-5357 x -45253-6331 x -38291-8437 x -28733


How do I find the factor combinations of the number 242,420,321?

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 242,420,321, 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.

1 242,420,321
-1 -242,420,321

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 242,420,321.

Example:
1 x 242,420,321 = 242,420,321
and
-1 x -242,420,321 = 242,420,321
Notice both answers equal 242,420,321

With that explanation out of the way, let's continue. Next, we take the number 242,420,321 and divide it by 2:

242,420,321 ÷ 2 = 121,210,160.5

If the quotient is a whole number, then 2 and 121,210,160.5 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:

1 242,420,321
-1 -242,420,321

Now, we try dividing 242,420,321 by 3:

242,420,321 ÷ 3 = 80,806,773.6667

If the quotient is a whole number, then 3 and 80,806,773.6667 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:

1 242,420,321
-1 -242,420,321

Let's try dividing by 4:

242,420,321 ÷ 4 = 60,605,080.25

If the quotient is a whole number, then 4 and 60,605,080.25 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:

1 242,420,321
-1 242,420,321
Keep dividing by the next highest number until you cannot divide anymore.

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

11113591434876497673,4815,3576,3318,43728,73338,29145,25369,641316,063373,529497,7831,695,2474,108,81918,647,71722,038,211242,420,321
-1-11-13-59-143-487-649-767-3,481-5,357-6,331-8,437-28,733-38,291-45,253-69,641-316,063-373,529-497,783-1,695,247-4,108,819-18,647,717-22,038,211-242,420,321

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