Q: What are the factor combinations of the number 31,401,601?

 A:
Positive:   1 x 314016017 x 448594311 x 285469117 x 184715323 x 136528749 x 64084977 x 407813119 x 263879149 x 210749161 x 195041187 x 167923253 x 124117391 x 80311539 x 58259833 x 376971043 x 301071127 x 278631309 x 239891639 x 191591771 x 177312533 x 123972737 x 114733427 x 91634301 x 7301
Negative: -1 x -31401601-7 x -4485943-11 x -2854691-17 x -1847153-23 x -1365287-49 x -640849-77 x -407813-119 x -263879-149 x -210749-161 x -195041-187 x -167923-253 x -124117-391 x -80311-539 x -58259-833 x -37697-1043 x -30107-1127 x -27863-1309 x -23989-1639 x -19159-1771 x -17731-2533 x -12397-2737 x -11473-3427 x -9163-4301 x -7301


How do I find the factor combinations of the number 31,401,601?

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 31,401,601, 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 31,401,601
-1 -31,401,601

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 31,401,601.

Example:
1 x 31,401,601 = 31,401,601
and
-1 x -31,401,601 = 31,401,601
Notice both answers equal 31,401,601

With that explanation out of the way, let's continue. Next, we take the number 31,401,601 and divide it by 2:

31,401,601 ÷ 2 = 15,700,800.5

If the quotient is a whole number, then 2 and 15,700,800.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 31,401,601
-1 -31,401,601

Now, we try dividing 31,401,601 by 3:

31,401,601 ÷ 3 = 10,467,200.3333

If the quotient is a whole number, then 3 and 10,467,200.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 31,401,601
-1 -31,401,601

Let's try dividing by 4:

31,401,601 ÷ 4 = 7,850,400.25

If the quotient is a whole number, then 4 and 7,850,400.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 31,401,601
-1 31,401,601
Keep dividing by the next highest number until you cannot divide anymore.

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

1711172349771191491611872533915398331,0431,1271,3091,6391,7712,5332,7373,4274,3017,3019,16311,47312,39717,73119,15923,98927,86330,10737,69758,25980,311124,117167,923195,041210,749263,879407,813640,8491,365,2871,847,1532,854,6914,485,94331,401,601
-1-7-11-17-23-49-77-119-149-161-187-253-391-539-833-1,043-1,127-1,309-1,639-1,771-2,533-2,737-3,427-4,301-7,301-9,163-11,473-12,397-17,731-19,159-23,989-27,863-30,107-37,697-58,259-80,311-124,117-167,923-195,041-210,749-263,879-407,813-640,849-1,365,287-1,847,153-2,854,691-4,485,943-31,401,601

More Examples

Here are some more numbers to try:

31,401,59931,401,60031,401,60231,401,603
Try the factor calculator

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