Q: What are the factor combinations of the number 330,420,025?

 A:
Positive:   1 x 3304200255 x 6608400513 x 2541692525 x 1321680141 x 805902565 x 5083385137 x 2411825181 x 1825525205 x 1611805325 x 1016677533 x 619925685 x 482365905 x 3651051025 x 3223611781 x 1855252353 x 1404252665 x 1239853425 x 964734525 x 730215617 x 588257421 x 445258905 x 3710511765 x 2808513325 x 24797
Negative: -1 x -330420025-5 x -66084005-13 x -25416925-25 x -13216801-41 x -8059025-65 x -5083385-137 x -2411825-181 x -1825525-205 x -1611805-325 x -1016677-533 x -619925-685 x -482365-905 x -365105-1025 x -322361-1781 x -185525-2353 x -140425-2665 x -123985-3425 x -96473-4525 x -73021-5617 x -58825-7421 x -44525-8905 x -37105-11765 x -28085-13325 x -24797


How do I find the factor combinations of the number 330,420,025?

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 330,420,025, 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.

1 330,420,025
-1 -330,420,025

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 330,420,025.

Example:
1 x 330,420,025 = 330,420,025
and
-1 x -330,420,025 = 330,420,025
Notice both answers equal 330,420,025

With that explanation out of the way, let's continue. Next, we take the number 330,420,025 and divide it by 2:

330,420,025 ÷ 2 = 165,210,012.5

If the quotient is a whole number, then 2 and 165,210,012.5 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:

1 330,420,025
-1 -330,420,025

Now, we try dividing 330,420,025 by 3:

330,420,025 ÷ 3 = 110,140,008.3333

If the quotient is a whole number, then 3 and 110,140,008.3333 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:

1 330,420,025
-1 -330,420,025

Let's try dividing by 4:

330,420,025 ÷ 4 = 82,605,006.25

If the quotient is a whole number, then 4 and 82,605,006.25 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:

1 330,420,025
-1 330,420,025
Keep dividing by the next highest number until you cannot divide anymore.

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

15132541651371812053255336859051,0251,7812,3532,6653,4254,5255,6177,4218,90511,76513,32524,79728,08537,10544,52558,82573,02196,473123,985140,425185,525322,361365,105482,365619,9251,016,6771,611,8051,825,5252,411,8255,083,3858,059,02513,216,80125,416,92566,084,005330,420,025
-1-5-13-25-41-65-137-181-205-325-533-685-905-1,025-1,781-2,353-2,665-3,425-4,525-5,617-7,421-8,905-11,765-13,325-24,797-28,085-37,105-44,525-58,825-73,021-96,473-123,985-140,425-185,525-322,361-365,105-482,365-619,925-1,016,677-1,611,805-1,825,525-2,411,825-5,083,385-8,059,025-13,216,801-25,416,925-66,084,005-330,420,025

More Examples

Here are some more numbers to try:

330,420,023330,420,024330,420,026330,420,027
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