Q: What are the factor combinations of the number 213,315,620?

 A:
Positive:   1 x 2133156202 x 1066578104 x 533289055 x 426631247 x 3047366010 x 2133156214 x 1523683020 x 1066578128 x 761841535 x 609473241 x 520282049 x 435338070 x 304736682 x 260141098 x 2176690140 x 1523683164 x 1300705196 x 1088345205 x 1040564245 x 870676287 x 743260410 x 520282490 x 435338574 x 371630820 x 260141980 x 2176691148 x 1858151435 x 1486522009 x 1061802870 x 743264018 x 530905309 x 401805740 x 371638036 x 2654510045 x 2123610618 x 20090
Negative: -1 x -213315620-2 x -106657810-4 x -53328905-5 x -42663124-7 x -30473660-10 x -21331562-14 x -15236830-20 x -10665781-28 x -7618415-35 x -6094732-41 x -5202820-49 x -4353380-70 x -3047366-82 x -2601410-98 x -2176690-140 x -1523683-164 x -1300705-196 x -1088345-205 x -1040564-245 x -870676-287 x -743260-410 x -520282-490 x -435338-574 x -371630-820 x -260141-980 x -217669-1148 x -185815-1435 x -148652-2009 x -106180-2870 x -74326-4018 x -53090-5309 x -40180-5740 x -37163-8036 x -26545-10045 x -21236-10618 x -20090


How do I find the factor combinations of the number 213,315,620?

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 213,315,620, 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.

1 213,315,620
-1 -213,315,620

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 213,315,620.

Example:
1 x 213,315,620 = 213,315,620
and
-1 x -213,315,620 = 213,315,620
Notice both answers equal 213,315,620

With that explanation out of the way, let's continue. Next, we take the number 213,315,620 and divide it by 2:

213,315,620 ÷ 2 = 106,657,810

If the quotient is a whole number, then 2 and 106,657,810 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 2 106,657,810 213,315,620
-1 -2 -106,657,810 -213,315,620

Now, we try dividing 213,315,620 by 3:

213,315,620 ÷ 3 = 71,105,206.6667

If the quotient is a whole number, then 3 and 71,105,206.6667 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 2 106,657,810 213,315,620
-1 -2 -106,657,810 -213,315,620

Let's try dividing by 4:

213,315,620 ÷ 4 = 53,328,905

If the quotient is a whole number, then 4 and 53,328,905 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 4 53,328,905 106,657,810 213,315,620
-1 -2 -4 -53,328,905 -106,657,810 213,315,620
Keep dividing by the next highest number until you cannot divide anymore.

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

12457101420283541497082981401641962052452874104905748209801,1481,4352,0092,8704,0185,3095,7408,03610,04510,61820,09021,23626,54537,16340,18053,09074,326106,180148,652185,815217,669260,141371,630435,338520,282743,260870,6761,040,5641,088,3451,300,7051,523,6832,176,6902,601,4103,047,3664,353,3805,202,8206,094,7327,618,41510,665,78115,236,83021,331,56230,473,66042,663,12453,328,905106,657,810213,315,620
-1-2-4-5-7-10-14-20-28-35-41-49-70-82-98-140-164-196-205-245-287-410-490-574-820-980-1,148-1,435-2,009-2,870-4,018-5,309-5,740-8,036-10,045-10,618-20,090-21,236-26,545-37,163-40,180-53,090-74,326-106,180-148,652-185,815-217,669-260,141-371,630-435,338-520,282-743,260-870,676-1,040,564-1,088,345-1,300,705-1,523,683-2,176,690-2,601,410-3,047,366-4,353,380-5,202,820-6,094,732-7,618,415-10,665,781-15,236,830-21,331,562-30,473,660-42,663,124-53,328,905-106,657,810-213,315,620

More Examples

Here are some more numbers to try:

213,315,618213,315,619213,315,621213,315,622
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