Q: What are the factor combinations of the number 240,787,057?

 A:
Positive:   1 x 2407870577 x 3439815119 x 1267300343 x 559969971 x 3391367133 x 1810429301 x 799957497 x 484481593 x 406049817 x 2947211349 x 1784933053 x 788694151 x 580075719 x 421039443 x 2549911267 x 21371
Negative: -1 x -240787057-7 x -34398151-19 x -12673003-43 x -5599699-71 x -3391367-133 x -1810429-301 x -799957-497 x -484481-593 x -406049-817 x -294721-1349 x -178493-3053 x -78869-4151 x -58007-5719 x -42103-9443 x -25499-11267 x -21371


How do I find the factor combinations of the number 240,787,057?

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 240,787,057, 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.

1 240,787,057
-1 -240,787,057

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 240,787,057.

Example:
1 x 240,787,057 = 240,787,057
and
-1 x -240,787,057 = 240,787,057
Notice both answers equal 240,787,057

With that explanation out of the way, let's continue. Next, we take the number 240,787,057 and divide it by 2:

240,787,057 ÷ 2 = 120,393,528.5

If the quotient is a whole number, then 2 and 120,393,528.5 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:

1 240,787,057
-1 -240,787,057

Now, we try dividing 240,787,057 by 3:

240,787,057 ÷ 3 = 80,262,352.3333

If the quotient is a whole number, then 3 and 80,262,352.3333 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:

1 240,787,057
-1 -240,787,057

Let's try dividing by 4:

240,787,057 ÷ 4 = 60,196,764.25

If the quotient is a whole number, then 4 and 60,196,764.25 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:

1 240,787,057
-1 240,787,057
Keep dividing by the next highest number until you cannot divide anymore.

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

171943711333014975938171,3493,0534,1515,7199,44311,26721,37125,49942,10358,00778,869178,493294,721406,049484,481799,9571,810,4293,391,3675,599,69912,673,00334,398,151240,787,057
-1-7-19-43-71-133-301-497-593-817-1,349-3,053-4,151-5,719-9,443-11,267-21,371-25,499-42,103-58,007-78,869-178,493-294,721-406,049-484,481-799,957-1,810,429-3,391,367-5,599,699-12,673,003-34,398,151-240,787,057

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