Q: What are the factor combinations of the number 200,230,164?

 A:
Positive:   1 x 2002301642 x 1001150823 x 667433884 x 500575416 x 333716949 x 2224779612 x 1668584718 x 1112389827 x 741593236 x 556194954 x 3707966108 x 1853983181 x 1106244362 x 553122543 x 368748724 x 2765611086 x 1843741629 x 1229162172 x 921873258 x 614584887 x 409726516 x 307299774 x 2048610243 x 19548
Negative: -1 x -200230164-2 x -100115082-3 x -66743388-4 x -50057541-6 x -33371694-9 x -22247796-12 x -16685847-18 x -11123898-27 x -7415932-36 x -5561949-54 x -3707966-108 x -1853983-181 x -1106244-362 x -553122-543 x -368748-724 x -276561-1086 x -184374-1629 x -122916-2172 x -92187-3258 x -61458-4887 x -40972-6516 x -30729-9774 x -20486-10243 x -19548


How do I find the factor combinations of the number 200,230,164?

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 200,230,164, 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.

1 200,230,164
-1 -200,230,164

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 200,230,164.

Example:
1 x 200,230,164 = 200,230,164
and
-1 x -200,230,164 = 200,230,164
Notice both answers equal 200,230,164

With that explanation out of the way, let's continue. Next, we take the number 200,230,164 and divide it by 2:

200,230,164 ÷ 2 = 100,115,082

If the quotient is a whole number, then 2 and 100,115,082 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 2 100,115,082 200,230,164
-1 -2 -100,115,082 -200,230,164

Now, we try dividing 200,230,164 by 3:

200,230,164 ÷ 3 = 66,743,388

If the quotient is a whole number, then 3 and 66,743,388 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 66,743,388 100,115,082 200,230,164
-1 -2 -3 -66,743,388 -100,115,082 -200,230,164

Let's try dividing by 4:

200,230,164 ÷ 4 = 50,057,541

If the quotient is a whole number, then 4 and 50,057,541 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 50,057,541 66,743,388 100,115,082 200,230,164
-1 -2 -3 -4 -50,057,541 -66,743,388 -100,115,082 200,230,164
Keep dividing by the next highest number until you cannot divide anymore.

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

12346912182736541081813625437241,0861,6292,1723,2584,8876,5169,77410,24319,54820,48630,72940,97261,45892,187122,916184,374276,561368,748553,1221,106,2441,853,9833,707,9665,561,9497,415,93211,123,89816,685,84722,247,79633,371,69450,057,54166,743,388100,115,082200,230,164
-1-2-3-4-6-9-12-18-27-36-54-108-181-362-543-724-1,086-1,629-2,172-3,258-4,887-6,516-9,774-10,243-19,548-20,486-30,729-40,972-61,458-92,187-122,916-184,374-276,561-368,748-553,122-1,106,244-1,853,983-3,707,966-5,561,949-7,415,932-11,123,898-16,685,847-22,247,796-33,371,694-50,057,541-66,743,388-100,115,082-200,230,164

More Examples

Here are some more numbers to try:

200,230,162200,230,163200,230,165200,230,166
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