Q: What are the factor combinations of the number 207,332,220?

 A:
Positive:   1 x 2073322202 x 1036661103 x 691107404 x 518330555 x 414664446 x 3455537010 x 2073322212 x 1727768515 x 1382214820 x 1036661130 x 691107460 x 3455537569 x 3643801138 x 1821901707 x 1214602276 x 910952845 x 728763414 x 607305690 x 364386073 x 341406828 x 303658535 x 2429211380 x 1821912146 x 17070
Negative: -1 x -207332220-2 x -103666110-3 x -69110740-4 x -51833055-5 x -41466444-6 x -34555370-10 x -20733222-12 x -17277685-15 x -13822148-20 x -10366611-30 x -6911074-60 x -3455537-569 x -364380-1138 x -182190-1707 x -121460-2276 x -91095-2845 x -72876-3414 x -60730-5690 x -36438-6073 x -34140-6828 x -30365-8535 x -24292-11380 x -18219-12146 x -17070


How do I find the factor combinations of the number 207,332,220?

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 207,332,220, 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.

1 207,332,220
-1 -207,332,220

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 207,332,220.

Example:
1 x 207,332,220 = 207,332,220
and
-1 x -207,332,220 = 207,332,220
Notice both answers equal 207,332,220

With that explanation out of the way, let's continue. Next, we take the number 207,332,220 and divide it by 2:

207,332,220 ÷ 2 = 103,666,110

If the quotient is a whole number, then 2 and 103,666,110 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 2 103,666,110 207,332,220
-1 -2 -103,666,110 -207,332,220

Now, we try dividing 207,332,220 by 3:

207,332,220 ÷ 3 = 69,110,740

If the quotient is a whole number, then 3 and 69,110,740 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 69,110,740 103,666,110 207,332,220
-1 -2 -3 -69,110,740 -103,666,110 -207,332,220

Let's try dividing by 4:

207,332,220 ÷ 4 = 51,833,055

If the quotient is a whole number, then 4 and 51,833,055 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 51,833,055 69,110,740 103,666,110 207,332,220
-1 -2 -3 -4 -51,833,055 -69,110,740 -103,666,110 207,332,220
Keep dividing by the next highest number until you cannot divide anymore.

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

1234561012152030605691,1381,7072,2762,8453,4145,6906,0736,8288,53511,38012,14617,07018,21924,29230,36534,14036,43860,73072,87691,095121,460182,190364,3803,455,5376,911,07410,366,61113,822,14817,277,68520,733,22234,555,37041,466,44451,833,05569,110,740103,666,110207,332,220
-1-2-3-4-5-6-10-12-15-20-30-60-569-1,138-1,707-2,276-2,845-3,414-5,690-6,073-6,828-8,535-11,380-12,146-17,070-18,219-24,292-30,365-34,140-36,438-60,730-72,876-91,095-121,460-182,190-364,380-3,455,537-6,911,074-10,366,611-13,822,148-17,277,685-20,733,222-34,555,370-41,466,444-51,833,055-69,110,740-103,666,110-207,332,220

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