Q: What are the factor combinations of the number 128,421,888?

 A:
Positive:   1 x 1284218882 x 642109443 x 428072964 x 321054726 x 214036487 x 183459848 x 1605273612 x 1070182414 x 917299216 x 802636821 x 611532824 x 535091228 x 458649632 x 401318442 x 305766448 x 267545656 x 229324864 x 200659284 x 152883296 x 1337728112 x 1146624128 x 1003296168 x 764416192 x 668864224 x 573312256 x 501648336 x 382208384 x 334432448 x 286656512 x 250824672 x 191104768 x 167216896 x 1433281024 x 1254121344 x 955521493 x 860161536 x 836081792 x 716642048 x 627062688 x 477762986 x 430083072 x 418043584 x 358324096 x 313534479 x 286725376 x 238885972 x 215046144 x 209027168 x 179168958 x 1433610451 x 1228810752 x 11944
Negative: -1 x -128421888-2 x -64210944-3 x -42807296-4 x -32105472-6 x -21403648-7 x -18345984-8 x -16052736-12 x -10701824-14 x -9172992-16 x -8026368-21 x -6115328-24 x -5350912-28 x -4586496-32 x -4013184-42 x -3057664-48 x -2675456-56 x -2293248-64 x -2006592-84 x -1528832-96 x -1337728-112 x -1146624-128 x -1003296-168 x -764416-192 x -668864-224 x -573312-256 x -501648-336 x -382208-384 x -334432-448 x -286656-512 x -250824-672 x -191104-768 x -167216-896 x -143328-1024 x -125412-1344 x -95552-1493 x -86016-1536 x -83608-1792 x -71664-2048 x -62706-2688 x -47776-2986 x -43008-3072 x -41804-3584 x -35832-4096 x -31353-4479 x -28672-5376 x -23888-5972 x -21504-6144 x -20902-7168 x -17916-8958 x -14336-10451 x -12288-10752 x -11944


How do I find the factor combinations of the number 128,421,888?

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 128,421,888, 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.

1 128,421,888
-1 -128,421,888

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 128,421,888.

Example:
1 x 128,421,888 = 128,421,888
and
-1 x -128,421,888 = 128,421,888
Notice both answers equal 128,421,888

With that explanation out of the way, let's continue. Next, we take the number 128,421,888 and divide it by 2:

128,421,888 ÷ 2 = 64,210,944

If the quotient is a whole number, then 2 and 64,210,944 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 64,210,944 128,421,888
-1 -2 -64,210,944 -128,421,888

Now, we try dividing 128,421,888 by 3:

128,421,888 ÷ 3 = 42,807,296

If the quotient is a whole number, then 3 and 42,807,296 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 42,807,296 64,210,944 128,421,888
-1 -2 -3 -42,807,296 -64,210,944 -128,421,888

Let's try dividing by 4:

128,421,888 ÷ 4 = 32,105,472

If the quotient is a whole number, then 4 and 32,105,472 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 32,105,472 42,807,296 64,210,944 128,421,888
-1 -2 -3 -4 -32,105,472 -42,807,296 -64,210,944 128,421,888
Keep dividing by the next highest number until you cannot divide anymore.

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

1234678121416212428324248566484961121281681922242563363844485126727688961,0241,3441,4931,5361,7922,0482,6882,9863,0723,5844,0964,4795,3765,9726,1447,1688,95810,45110,75211,94412,28814,33617,91620,90221,50423,88828,67231,35335,83241,80443,00847,77662,70671,66483,60886,01695,552125,412143,328167,216191,104250,824286,656334,432382,208501,648573,312668,864764,4161,003,2961,146,6241,337,7281,528,8322,006,5922,293,2482,675,4563,057,6644,013,1844,586,4965,350,9126,115,3288,026,3689,172,99210,701,82416,052,73618,345,98421,403,64832,105,47242,807,29664,210,944128,421,888
-1-2-3-4-6-7-8-12-14-16-21-24-28-32-42-48-56-64-84-96-112-128-168-192-224-256-336-384-448-512-672-768-896-1,024-1,344-1,493-1,536-1,792-2,048-2,688-2,986-3,072-3,584-4,096-4,479-5,376-5,972-6,144-7,168-8,958-10,451-10,752-11,944-12,288-14,336-17,916-20,902-21,504-23,888-28,672-31,353-35,832-41,804-43,008-47,776-62,706-71,664-83,608-86,016-95,552-125,412-143,328-167,216-191,104-250,824-286,656-334,432-382,208-501,648-573,312-668,864-764,416-1,003,296-1,146,624-1,337,728-1,528,832-2,006,592-2,293,248-2,675,456-3,057,664-4,013,184-4,586,496-5,350,912-6,115,328-8,026,368-9,172,992-10,701,824-16,052,736-18,345,984-21,403,648-32,105,472-42,807,296-64,210,944-128,421,888

More Examples

Here are some more numbers to try:

128,421,886128,421,887128,421,889128,421,890
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