Q: What are the factor combinations of the number 365,462,755?

 A:
Positive:   1 x 3654627555 x 730925517 x 5220896523 x 1588968535 x 10441793115 x 3177937161 x 2269955805 x 453991
Negative: -1 x -365462755-5 x -73092551-7 x -52208965-23 x -15889685-35 x -10441793-115 x -3177937-161 x -2269955-805 x -453991


How do I find the factor combinations of the number 365,462,755?

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 365,462,755, 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.

1 365,462,755
-1 -365,462,755

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 365,462,755.

Example:
1 x 365,462,755 = 365,462,755
and
-1 x -365,462,755 = 365,462,755
Notice both answers equal 365,462,755

With that explanation out of the way, let's continue. Next, we take the number 365,462,755 and divide it by 2:

365,462,755 ÷ 2 = 182,731,377.5

If the quotient is a whole number, then 2 and 182,731,377.5 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:

1 365,462,755
-1 -365,462,755

Now, we try dividing 365,462,755 by 3:

365,462,755 ÷ 3 = 121,820,918.3333

If the quotient is a whole number, then 3 and 121,820,918.3333 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:

1 365,462,755
-1 -365,462,755

Let's try dividing by 4:

365,462,755 ÷ 4 = 91,365,688.75

If the quotient is a whole number, then 4 and 91,365,688.75 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:

1 365,462,755
-1 365,462,755
Keep dividing by the next highest number until you cannot divide anymore.

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

1572335115161805453,9912,269,9553,177,93710,441,79315,889,68552,208,96573,092,551365,462,755
-1-5-7-23-35-115-161-805-453,991-2,269,955-3,177,937-10,441,793-15,889,685-52,208,965-73,092,551-365,462,755

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