Q: What are the factor combinations of the number 230,460,755?

 A:
Positive:   1 x 2304607555 x 460921517 x 3292296517 x 1355651535 x 658459385 x 2711303119 x 1936645595 x 387329
Negative: -1 x -230460755-5 x -46092151-7 x -32922965-17 x -13556515-35 x -6584593-85 x -2711303-119 x -1936645-595 x -387329


How do I find the factor combinations of the number 230,460,755?

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 230,460,755, 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.

1 230,460,755
-1 -230,460,755

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 230,460,755.

Example:
1 x 230,460,755 = 230,460,755
and
-1 x -230,460,755 = 230,460,755
Notice both answers equal 230,460,755

With that explanation out of the way, let's continue. Next, we take the number 230,460,755 and divide it by 2:

230,460,755 ÷ 2 = 115,230,377.5

If the quotient is a whole number, then 2 and 115,230,377.5 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:

1 230,460,755
-1 -230,460,755

Now, we try dividing 230,460,755 by 3:

230,460,755 ÷ 3 = 76,820,251.6667

If the quotient is a whole number, then 3 and 76,820,251.6667 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:

1 230,460,755
-1 -230,460,755

Let's try dividing by 4:

230,460,755 ÷ 4 = 57,615,188.75

If the quotient is a whole number, then 4 and 57,615,188.75 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:

1 230,460,755
-1 230,460,755
Keep dividing by the next highest number until you cannot divide anymore.

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

157173585119595387,3291,936,6452,711,3036,584,59313,556,51532,922,96546,092,151230,460,755
-1-5-7-17-35-85-119-595-387,329-1,936,645-2,711,303-6,584,593-13,556,515-32,922,965-46,092,151-230,460,755

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