Q: What are the factor combinations of the number 520,703,755?

 A:
Positive:   1 x 5207037555 x 10414075111 x 4733670513 x 4005413555 x 946734165 x 8010827143 x 3641285337 x 1545115715 x 7282571685 x 3090232161 x 2409553707 x 1404654381 x 11885510805 x 4819118535 x 2809321905 x 23771
Negative: -1 x -520703755-5 x -104140751-11 x -47336705-13 x -40054135-55 x -9467341-65 x -8010827-143 x -3641285-337 x -1545115-715 x -728257-1685 x -309023-2161 x -240955-3707 x -140465-4381 x -118855-10805 x -48191-18535 x -28093-21905 x -23771


How do I find the factor combinations of the number 520,703,755?

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 520,703,755, 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.

1 520,703,755
-1 -520,703,755

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 520,703,755.

Example:
1 x 520,703,755 = 520,703,755
and
-1 x -520,703,755 = 520,703,755
Notice both answers equal 520,703,755

With that explanation out of the way, let's continue. Next, we take the number 520,703,755 and divide it by 2:

520,703,755 ÷ 2 = 260,351,877.5

If the quotient is a whole number, then 2 and 260,351,877.5 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:

1 520,703,755
-1 -520,703,755

Now, we try dividing 520,703,755 by 3:

520,703,755 ÷ 3 = 173,567,918.3333

If the quotient is a whole number, then 3 and 173,567,918.3333 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:

1 520,703,755
-1 -520,703,755

Let's try dividing by 4:

520,703,755 ÷ 4 = 130,175,938.75

If the quotient is a whole number, then 4 and 130,175,938.75 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:

1 520,703,755
-1 520,703,755
Keep dividing by the next highest number until you cannot divide anymore.

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

15111355651433377151,6852,1613,7074,38110,80518,53521,90523,77128,09348,191118,855140,465240,955309,023728,2571,545,1153,641,2858,010,8279,467,34140,054,13547,336,705104,140,751520,703,755
-1-5-11-13-55-65-143-337-715-1,685-2,161-3,707-4,381-10,805-18,535-21,905-23,771-28,093-48,191-118,855-140,465-240,955-309,023-728,257-1,545,115-3,641,285-8,010,827-9,467,341-40,054,135-47,336,705-104,140,751-520,703,755

More Examples

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