Q: What are the factor combinations of the number 197,429,628?

 A:
Positive:   1 x 1974296282 x 987148143 x 658098764 x 493574076 x 3290493811 x 1794814812 x 1645246922 x 897407433 x 598271644 x 448703766 x 2991358127 x 1554564132 x 1495679254 x 777282381 x 518188508 x 388641762 x 2590941397 x 1413241524 x 1295472794 x 706624191 x 471085588 x 353318382 x 2355411777 x 16764
Negative: -1 x -197429628-2 x -98714814-3 x -65809876-4 x -49357407-6 x -32904938-11 x -17948148-12 x -16452469-22 x -8974074-33 x -5982716-44 x -4487037-66 x -2991358-127 x -1554564-132 x -1495679-254 x -777282-381 x -518188-508 x -388641-762 x -259094-1397 x -141324-1524 x -129547-2794 x -70662-4191 x -47108-5588 x -35331-8382 x -23554-11777 x -16764


How do I find the factor combinations of the number 197,429,628?

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 197,429,628, 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.

1 197,429,628
-1 -197,429,628

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 197,429,628.

Example:
1 x 197,429,628 = 197,429,628
and
-1 x -197,429,628 = 197,429,628
Notice both answers equal 197,429,628

With that explanation out of the way, let's continue. Next, we take the number 197,429,628 and divide it by 2:

197,429,628 ÷ 2 = 98,714,814

If the quotient is a whole number, then 2 and 98,714,814 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 98,714,814 197,429,628
-1 -2 -98,714,814 -197,429,628

Now, we try dividing 197,429,628 by 3:

197,429,628 ÷ 3 = 65,809,876

If the quotient is a whole number, then 3 and 65,809,876 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 65,809,876 98,714,814 197,429,628
-1 -2 -3 -65,809,876 -98,714,814 -197,429,628

Let's try dividing by 4:

197,429,628 ÷ 4 = 49,357,407

If the quotient is a whole number, then 4 and 49,357,407 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 49,357,407 65,809,876 98,714,814 197,429,628
-1 -2 -3 -4 -49,357,407 -65,809,876 -98,714,814 197,429,628
Keep dividing by the next highest number until you cannot divide anymore.

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

123461112223344661271322543815087621,3971,5242,7944,1915,5888,38211,77716,76423,55435,33147,10870,662129,547141,324259,094388,641518,188777,2821,495,6791,554,5642,991,3584,487,0375,982,7168,974,07416,452,46917,948,14832,904,93849,357,40765,809,87698,714,814197,429,628
-1-2-3-4-6-11-12-22-33-44-66-127-132-254-381-508-762-1,397-1,524-2,794-4,191-5,588-8,382-11,777-16,764-23,554-35,331-47,108-70,662-129,547-141,324-259,094-388,641-518,188-777,282-1,495,679-1,554,564-2,991,358-4,487,037-5,982,716-8,974,074-16,452,469-17,948,148-32,904,938-49,357,407-65,809,876-98,714,814-197,429,628

More Examples

Here are some more numbers to try:

197,429,626197,429,627197,429,629197,429,630
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