Q: What are the factor combinations of the number 500,011,164?

 A:
Positive:   1 x 5000111642 x 2500055823 x 1666703884 x 1250027916 x 833351949 x 5555679612 x 4166759718 x 2777839827 x 1851893236 x 1388919954 x 925946673 x 6849468108 x 4629733146 x 3424734219 x 2283156292 x 1712367438 x 1141578657 x 761052876 x 5707891314 x 3805261971 x 2536842628 x 1902633942 x 1268427884 x 63421
Negative: -1 x -500011164-2 x -250005582-3 x -166670388-4 x -125002791-6 x -83335194-9 x -55556796-12 x -41667597-18 x -27778398-27 x -18518932-36 x -13889199-54 x -9259466-73 x -6849468-108 x -4629733-146 x -3424734-219 x -2283156-292 x -1712367-438 x -1141578-657 x -761052-876 x -570789-1314 x -380526-1971 x -253684-2628 x -190263-3942 x -126842-7884 x -63421


How do I find the factor combinations of the number 500,011,164?

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 500,011,164, 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.

1 500,011,164
-1 -500,011,164

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 500,011,164.

Example:
1 x 500,011,164 = 500,011,164
and
-1 x -500,011,164 = 500,011,164
Notice both answers equal 500,011,164

With that explanation out of the way, let's continue. Next, we take the number 500,011,164 and divide it by 2:

500,011,164 ÷ 2 = 250,005,582

If the quotient is a whole number, then 2 and 250,005,582 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 2 250,005,582 500,011,164
-1 -2 -250,005,582 -500,011,164

Now, we try dividing 500,011,164 by 3:

500,011,164 ÷ 3 = 166,670,388

If the quotient is a whole number, then 3 and 166,670,388 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 3 166,670,388 250,005,582 500,011,164
-1 -2 -3 -166,670,388 -250,005,582 -500,011,164

Let's try dividing by 4:

500,011,164 ÷ 4 = 125,002,791

If the quotient is a whole number, then 4 and 125,002,791 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 4 125,002,791 166,670,388 250,005,582 500,011,164
-1 -2 -3 -4 -125,002,791 -166,670,388 -250,005,582 500,011,164
Keep dividing by the next highest number until you cannot divide anymore.

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

1234691218273654731081462192924386578761,3141,9712,6283,9427,88463,421126,842190,263253,684380,526570,789761,0521,141,5781,712,3672,283,1563,424,7344,629,7336,849,4689,259,46613,889,19918,518,93227,778,39841,667,59755,556,79683,335,194125,002,791166,670,388250,005,582500,011,164
-1-2-3-4-6-9-12-18-27-36-54-73-108-146-219-292-438-657-876-1,314-1,971-2,628-3,942-7,884-63,421-126,842-190,263-253,684-380,526-570,789-761,052-1,141,578-1,712,367-2,283,156-3,424,734-4,629,733-6,849,468-9,259,466-13,889,199-18,518,932-27,778,398-41,667,597-55,556,796-83,335,194-125,002,791-166,670,388-250,005,582-500,011,164

More Examples

Here are some more numbers to try:

500,011,162500,011,163500,011,165500,011,166
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