Q: What are the factor combinations of the number 521,525,125?

 A:
Positive:   1 x 5215251255 x 10430502511 x 4741137525 x 2086100529 x 1798362541 x 1272012555 x 9482275121 x 4310125125 x 4172201145 x 3596725205 x 2544025275 x 1896455319 x 1634875451 x 1156375605 x 862025725 x 719345841 x 6201251025 x 5088051189 x 4386251375 x 3792911595 x 3269752255 x 2312753025 x 1724053509 x 1486253625 x 1438694205 x 1240254961 x 1051255125 x 1017615945 x 877257975 x 653959251 x 5637511275 x 4625513079 x 3987515125 x 3448117545 x 2972521025 x 24805
Negative: -1 x -521525125-5 x -104305025-11 x -47411375-25 x -20861005-29 x -17983625-41 x -12720125-55 x -9482275-121 x -4310125-125 x -4172201-145 x -3596725-205 x -2544025-275 x -1896455-319 x -1634875-451 x -1156375-605 x -862025-725 x -719345-841 x -620125-1025 x -508805-1189 x -438625-1375 x -379291-1595 x -326975-2255 x -231275-3025 x -172405-3509 x -148625-3625 x -143869-4205 x -124025-4961 x -105125-5125 x -101761-5945 x -87725-7975 x -65395-9251 x -56375-11275 x -46255-13079 x -39875-15125 x -34481-17545 x -29725-21025 x -24805


How do I find the factor combinations of the number 521,525,125?

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 521,525,125, 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.

1 521,525,125
-1 -521,525,125

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 521,525,125.

Example:
1 x 521,525,125 = 521,525,125
and
-1 x -521,525,125 = 521,525,125
Notice both answers equal 521,525,125

With that explanation out of the way, let's continue. Next, we take the number 521,525,125 and divide it by 2:

521,525,125 ÷ 2 = 260,762,562.5

If the quotient is a whole number, then 2 and 260,762,562.5 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:

1 521,525,125
-1 -521,525,125

Now, we try dividing 521,525,125 by 3:

521,525,125 ÷ 3 = 173,841,708.3333

If the quotient is a whole number, then 3 and 173,841,708.3333 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:

1 521,525,125
-1 -521,525,125

Let's try dividing by 4:

521,525,125 ÷ 4 = 130,381,281.25

If the quotient is a whole number, then 4 and 130,381,281.25 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:

1 521,525,125
-1 521,525,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1511252941551211251452052753194516057258411,0251,1891,3751,5952,2553,0253,5093,6254,2054,9615,1255,9457,9759,25111,27513,07915,12517,54521,02524,80529,72534,48139,87546,25556,37565,39587,725101,761105,125124,025143,869148,625172,405231,275326,975379,291438,625508,805620,125719,345862,0251,156,3751,634,8751,896,4552,544,0253,596,7254,172,2014,310,1259,482,27512,720,12517,983,62520,861,00547,411,375104,305,025521,525,125
-1-5-11-25-29-41-55-121-125-145-205-275-319-451-605-725-841-1,025-1,189-1,375-1,595-2,255-3,025-3,509-3,625-4,205-4,961-5,125-5,945-7,975-9,251-11,275-13,079-15,125-17,545-21,025-24,805-29,725-34,481-39,875-46,255-56,375-65,395-87,725-101,761-105,125-124,025-143,869-148,625-172,405-231,275-326,975-379,291-438,625-508,805-620,125-719,345-862,025-1,156,375-1,634,875-1,896,455-2,544,025-3,596,725-4,172,201-4,310,125-9,482,275-12,720,125-17,983,625-20,861,005-47,411,375-104,305,025-521,525,125

More Examples

Here are some more numbers to try:

521,525,123521,525,124521,525,126521,525,127
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