Q: What are the factor combinations of the number 815,501,472?

 A:
Positive:   1 x 8155014722 x 4077507363 x 2718338244 x 2038753686 x 1359169128 x 10193768412 x 6795845616 x 5096884224 x 3397922832 x 2548442148 x 1698961496 x 8494807101 x 8074272151 x 5400672202 x 4037136302 x 2700336303 x 2691424404 x 2018568453 x 1800224557 x 1464096604 x 1350168606 x 1345712808 x 1009284906 x 9001121114 x 7320481208 x 6750841212 x 6728561616 x 5046421671 x 4880321812 x 4500562228 x 3660242416 x 3375422424 x 3364283232 x 2523213342 x 2440163624 x 2250284456 x 1830124832 x 1687714848 x 1682146684 x 1220087248 x 1125148912 x 915069696 x 8410713368 x 6100414496 x 5625715251 x 5347217824 x 4575326736 x 30502
Negative: -1 x -815501472-2 x -407750736-3 x -271833824-4 x -203875368-6 x -135916912-8 x -101937684-12 x -67958456-16 x -50968842-24 x -33979228-32 x -25484421-48 x -16989614-96 x -8494807-101 x -8074272-151 x -5400672-202 x -4037136-302 x -2700336-303 x -2691424-404 x -2018568-453 x -1800224-557 x -1464096-604 x -1350168-606 x -1345712-808 x -1009284-906 x -900112-1114 x -732048-1208 x -675084-1212 x -672856-1616 x -504642-1671 x -488032-1812 x -450056-2228 x -366024-2416 x -337542-2424 x -336428-3232 x -252321-3342 x -244016-3624 x -225028-4456 x -183012-4832 x -168771-4848 x -168214-6684 x -122008-7248 x -112514-8912 x -91506-9696 x -84107-13368 x -61004-14496 x -56257-15251 x -53472-17824 x -45753-26736 x -30502


How do I find the factor combinations of the number 815,501,472?

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 815,501,472, 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.

1 815,501,472
-1 -815,501,472

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 815,501,472.

Example:
1 x 815,501,472 = 815,501,472
and
-1 x -815,501,472 = 815,501,472
Notice both answers equal 815,501,472

With that explanation out of the way, let's continue. Next, we take the number 815,501,472 and divide it by 2:

815,501,472 ÷ 2 = 407,750,736

If the quotient is a whole number, then 2 and 407,750,736 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 2 407,750,736 815,501,472
-1 -2 -407,750,736 -815,501,472

Now, we try dividing 815,501,472 by 3:

815,501,472 ÷ 3 = 271,833,824

If the quotient is a whole number, then 3 and 271,833,824 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 3 271,833,824 407,750,736 815,501,472
-1 -2 -3 -271,833,824 -407,750,736 -815,501,472

Let's try dividing by 4:

815,501,472 ÷ 4 = 203,875,368

If the quotient is a whole number, then 4 and 203,875,368 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 4 203,875,368 271,833,824 407,750,736 815,501,472
-1 -2 -3 -4 -203,875,368 -271,833,824 -407,750,736 815,501,472
Keep dividing by the next highest number until you cannot divide anymore.

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

1234681216243248961011512023023034044535576046068089061,1141,2081,2121,6161,6711,8122,2282,4162,4243,2323,3423,6244,4564,8324,8486,6847,2488,9129,69613,36814,49615,25117,82426,73630,50245,75353,47256,25761,00484,10791,506112,514122,008168,214168,771183,012225,028244,016252,321336,428337,542366,024450,056488,032504,642672,856675,084732,048900,1121,009,2841,345,7121,350,1681,464,0961,800,2242,018,5682,691,4242,700,3364,037,1365,400,6728,074,2728,494,80716,989,61425,484,42133,979,22850,968,84267,958,456101,937,684135,916,912203,875,368271,833,824407,750,736815,501,472
-1-2-3-4-6-8-12-16-24-32-48-96-101-151-202-302-303-404-453-557-604-606-808-906-1,114-1,208-1,212-1,616-1,671-1,812-2,228-2,416-2,424-3,232-3,342-3,624-4,456-4,832-4,848-6,684-7,248-8,912-9,696-13,368-14,496-15,251-17,824-26,736-30,502-45,753-53,472-56,257-61,004-84,107-91,506-112,514-122,008-168,214-168,771-183,012-225,028-244,016-252,321-336,428-337,542-366,024-450,056-488,032-504,642-672,856-675,084-732,048-900,112-1,009,284-1,345,712-1,350,168-1,464,096-1,800,224-2,018,568-2,691,424-2,700,336-4,037,136-5,400,672-8,074,272-8,494,807-16,989,614-25,484,421-33,979,228-50,968,842-67,958,456-101,937,684-135,916,912-203,875,368-271,833,824-407,750,736-815,501,472

More Examples

Here are some more numbers to try:

815,501,470815,501,471815,501,473815,501,474
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