Q: What are the factor combinations of the number 72,550,512?

 A:
Positive:   1 x 725505122 x 362752563 x 241835044 x 181376286 x 120917528 x 90688149 x 806116812 x 604587616 x 453440718 x 403058419 x 381844824 x 302293827 x 268705636 x 201529238 x 190922448 x 151146954 x 134352857 x 127281672 x 100764676 x 954612108 x 671764114 x 636408144 x 503823152 x 477306171 x 424272216 x 335882228 x 318204304 x 238653342 x 212136432 x 167941456 x 159102513 x 141424684 x 106068912 x 795511026 x 707121368 x 530342052 x 353562736 x 265174104 x 176788208 x 8839
Negative: -1 x -72550512-2 x -36275256-3 x -24183504-4 x -18137628-6 x -12091752-8 x -9068814-9 x -8061168-12 x -6045876-16 x -4534407-18 x -4030584-19 x -3818448-24 x -3022938-27 x -2687056-36 x -2015292-38 x -1909224-48 x -1511469-54 x -1343528-57 x -1272816-72 x -1007646-76 x -954612-108 x -671764-114 x -636408-144 x -503823-152 x -477306-171 x -424272-216 x -335882-228 x -318204-304 x -238653-342 x -212136-432 x -167941-456 x -159102-513 x -141424-684 x -106068-912 x -79551-1026 x -70712-1368 x -53034-2052 x -35356-2736 x -26517-4104 x -17678-8208 x -8839


How do I find the factor combinations of the number 72,550,512?

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 72,550,512, 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 72,550,512
-1 -72,550,512

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 72,550,512.

Example:
1 x 72,550,512 = 72,550,512
and
-1 x -72,550,512 = 72,550,512
Notice both answers equal 72,550,512

With that explanation out of the way, let's continue. Next, we take the number 72,550,512 and divide it by 2:

72,550,512 ÷ 2 = 36,275,256

If the quotient is a whole number, then 2 and 36,275,256 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 36,275,256 72,550,512
-1 -2 -36,275,256 -72,550,512

Now, we try dividing 72,550,512 by 3:

72,550,512 ÷ 3 = 24,183,504

If the quotient is a whole number, then 3 and 24,183,504 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 24,183,504 36,275,256 72,550,512
-1 -2 -3 -24,183,504 -36,275,256 -72,550,512

Let's try dividing by 4:

72,550,512 ÷ 4 = 18,137,628

If the quotient is a whole number, then 4 and 18,137,628 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 18,137,628 24,183,504 36,275,256 72,550,512
-1 -2 -3 -4 -18,137,628 -24,183,504 -36,275,256 72,550,512
Keep dividing by the next highest number until you cannot divide anymore.

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

1234689121618192427363848545772761081141441521712162283043424324565136849121,0261,3682,0522,7364,1048,2088,83917,67826,51735,35653,03470,71279,551106,068141,424159,102167,941212,136238,653318,204335,882424,272477,306503,823636,408671,764954,6121,007,6461,272,8161,343,5281,511,4691,909,2242,015,2922,687,0563,022,9383,818,4484,030,5844,534,4076,045,8768,061,1689,068,81412,091,75218,137,62824,183,50436,275,25672,550,512
-1-2-3-4-6-8-9-12-16-18-19-24-27-36-38-48-54-57-72-76-108-114-144-152-171-216-228-304-342-432-456-513-684-912-1,026-1,368-2,052-2,736-4,104-8,208-8,839-17,678-26,517-35,356-53,034-70,712-79,551-106,068-141,424-159,102-167,941-212,136-238,653-318,204-335,882-424,272-477,306-503,823-636,408-671,764-954,612-1,007,646-1,272,816-1,343,528-1,511,469-1,909,224-2,015,292-2,687,056-3,022,938-3,818,448-4,030,584-4,534,407-6,045,876-8,061,168-9,068,814-12,091,752-18,137,628-24,183,504-36,275,256-72,550,512

More Examples

Here are some more numbers to try:

72,550,51072,550,51172,550,51372,550,514
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