Q: What are the factor combinations of the number 135,015,012?

 A:
Positive:   1 x 1350150122 x 675075063 x 450050044 x 337537536 x 225025029 x 1500166811 x 1227409212 x 1125125118 x 750083422 x 613704627 x 500055633 x 409136436 x 375041743 x 313988444 x 306852354 x 250027866 x 204568281 x 166685286 x 156994299 x 1363788108 x 1250139129 x 1046628132 x 1022841162 x 833426172 x 784971198 x 681894258 x 523314297 x 454596324 x 416713387 x 348876396 x 340947473 x 285444516 x 261657594 x 227298774 x 174438881 x 153252891 x 151532946 x 1427221161 x 1162921188 x 1136491419 x 951481548 x 872191762 x 766261782 x 757661892 x 713612322 x 581462643 x 510842838 x 475743483 x 387643524 x 383133564 x 378834257 x 317164644 x 290735286 x 255425676 x 237876966 x 193827929 x 170288514 x 158589691 x 1393210572 x 12771
Negative: -1 x -135015012-2 x -67507506-3 x -45005004-4 x -33753753-6 x -22502502-9 x -15001668-11 x -12274092-12 x -11251251-18 x -7500834-22 x -6137046-27 x -5000556-33 x -4091364-36 x -3750417-43 x -3139884-44 x -3068523-54 x -2500278-66 x -2045682-81 x -1666852-86 x -1569942-99 x -1363788-108 x -1250139-129 x -1046628-132 x -1022841-162 x -833426-172 x -784971-198 x -681894-258 x -523314-297 x -454596-324 x -416713-387 x -348876-396 x -340947-473 x -285444-516 x -261657-594 x -227298-774 x -174438-881 x -153252-891 x -151532-946 x -142722-1161 x -116292-1188 x -113649-1419 x -95148-1548 x -87219-1762 x -76626-1782 x -75766-1892 x -71361-2322 x -58146-2643 x -51084-2838 x -47574-3483 x -38764-3524 x -38313-3564 x -37883-4257 x -31716-4644 x -29073-5286 x -25542-5676 x -23787-6966 x -19382-7929 x -17028-8514 x -15858-9691 x -13932-10572 x -12771


How do I find the factor combinations of the number 135,015,012?

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 135,015,012, 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.

1 135,015,012
-1 -135,015,012

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 135,015,012.

Example:
1 x 135,015,012 = 135,015,012
and
-1 x -135,015,012 = 135,015,012
Notice both answers equal 135,015,012

With that explanation out of the way, let's continue. Next, we take the number 135,015,012 and divide it by 2:

135,015,012 ÷ 2 = 67,507,506

If the quotient is a whole number, then 2 and 67,507,506 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 67,507,506 135,015,012
-1 -2 -67,507,506 -135,015,012

Now, we try dividing 135,015,012 by 3:

135,015,012 ÷ 3 = 45,005,004

If the quotient is a whole number, then 3 and 45,005,004 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 45,005,004 67,507,506 135,015,012
-1 -2 -3 -45,005,004 -67,507,506 -135,015,012

Let's try dividing by 4:

135,015,012 ÷ 4 = 33,753,753

If the quotient is a whole number, then 4 and 33,753,753 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 33,753,753 45,005,004 67,507,506 135,015,012
-1 -2 -3 -4 -33,753,753 -45,005,004 -67,507,506 135,015,012
Keep dividing by the next highest number until you cannot divide anymore.

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

12346911121822273336434454668186991081291321621721982582973243873964735165947748818919461,1611,1881,4191,5481,7621,7821,8922,3222,6432,8383,4833,5243,5644,2574,6445,2865,6766,9667,9298,5149,69110,57212,77113,93215,85817,02819,38223,78725,54229,07331,71637,88338,31338,76447,57451,08458,14671,36175,76676,62687,21995,148113,649116,292142,722151,532153,252174,438227,298261,657285,444340,947348,876416,713454,596523,314681,894784,971833,4261,022,8411,046,6281,250,1391,363,7881,569,9421,666,8522,045,6822,500,2783,068,5233,139,8843,750,4174,091,3645,000,5566,137,0467,500,83411,251,25112,274,09215,001,66822,502,50233,753,75345,005,00467,507,506135,015,012
-1-2-3-4-6-9-11-12-18-22-27-33-36-43-44-54-66-81-86-99-108-129-132-162-172-198-258-297-324-387-396-473-516-594-774-881-891-946-1,161-1,188-1,419-1,548-1,762-1,782-1,892-2,322-2,643-2,838-3,483-3,524-3,564-4,257-4,644-5,286-5,676-6,966-7,929-8,514-9,691-10,572-12,771-13,932-15,858-17,028-19,382-23,787-25,542-29,073-31,716-37,883-38,313-38,764-47,574-51,084-58,146-71,361-75,766-76,626-87,219-95,148-113,649-116,292-142,722-151,532-153,252-174,438-227,298-261,657-285,444-340,947-348,876-416,713-454,596-523,314-681,894-784,971-833,426-1,022,841-1,046,628-1,250,139-1,363,788-1,569,942-1,666,852-2,045,682-2,500,278-3,068,523-3,139,884-3,750,417-4,091,364-5,000,556-6,137,046-7,500,834-11,251,251-12,274,092-15,001,668-22,502,502-33,753,753-45,005,004-67,507,506-135,015,012

More Examples

Here are some more numbers to try:

135,015,010135,015,011135,015,013135,015,014
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