Q: What are the factor combinations of the number 525,664,020?

 A:
Positive:   1 x 5256640202 x 2628320103 x 1752213404 x 1314160055 x 1051328046 x 876106707 x 7509486010 x 5256640212 x 4380533514 x 3754743015 x 3504426820 x 2628320121 x 2503162028 x 1877371530 x 1752213435 x 1501897242 x 1251581060 x 876106770 x 750948684 x 6257905105 x 5006324140 x 3754743210 x 2503162420 x 1251581
Negative: -1 x -525664020-2 x -262832010-3 x -175221340-4 x -131416005-5 x -105132804-6 x -87610670-7 x -75094860-10 x -52566402-12 x -43805335-14 x -37547430-15 x -35044268-20 x -26283201-21 x -25031620-28 x -18773715-30 x -17522134-35 x -15018972-42 x -12515810-60 x -8761067-70 x -7509486-84 x -6257905-105 x -5006324-140 x -3754743-210 x -2503162-420 x -1251581


How do I find the factor combinations of the number 525,664,020?

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 525,664,020, 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.

1 525,664,020
-1 -525,664,020

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 525,664,020.

Example:
1 x 525,664,020 = 525,664,020
and
-1 x -525,664,020 = 525,664,020
Notice both answers equal 525,664,020

With that explanation out of the way, let's continue. Next, we take the number 525,664,020 and divide it by 2:

525,664,020 ÷ 2 = 262,832,010

If the quotient is a whole number, then 2 and 262,832,010 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 2 262,832,010 525,664,020
-1 -2 -262,832,010 -525,664,020

Now, we try dividing 525,664,020 by 3:

525,664,020 ÷ 3 = 175,221,340

If the quotient is a whole number, then 3 and 175,221,340 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 3 175,221,340 262,832,010 525,664,020
-1 -2 -3 -175,221,340 -262,832,010 -525,664,020

Let's try dividing by 4:

525,664,020 ÷ 4 = 131,416,005

If the quotient is a whole number, then 4 and 131,416,005 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 4 131,416,005 175,221,340 262,832,010 525,664,020
-1 -2 -3 -4 -131,416,005 -175,221,340 -262,832,010 525,664,020
Keep dividing by the next highest number until you cannot divide anymore.

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

1234567101214152021283035426070841051402104201,251,5812,503,1623,754,7435,006,3246,257,9057,509,4868,761,06712,515,81015,018,97217,522,13418,773,71525,031,62026,283,20135,044,26837,547,43043,805,33552,566,40275,094,86087,610,670105,132,804131,416,005175,221,340262,832,010525,664,020
-1-2-3-4-5-6-7-10-12-14-15-20-21-28-30-35-42-60-70-84-105-140-210-420-1,251,581-2,503,162-3,754,743-5,006,324-6,257,905-7,509,486-8,761,067-12,515,810-15,018,972-17,522,134-18,773,715-25,031,620-26,283,201-35,044,268-37,547,430-43,805,335-52,566,402-75,094,860-87,610,670-105,132,804-131,416,005-175,221,340-262,832,010-525,664,020

More Examples

Here are some more numbers to try:

525,664,018525,664,019525,664,021525,664,022
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