Q: What are the factor combinations of the number 181,300,842?

 A:
Positive:   1 x 1813008422 x 906504213 x 604336146 x 302168079 x 2014453818 x 1007226927 x 671484654 x 335742381 x 2238282162 x 1119141243 x 746094486 x 373047729 x 2486981458 x 124349
Negative: -1 x -181300842-2 x -90650421-3 x -60433614-6 x -30216807-9 x -20144538-18 x -10072269-27 x -6714846-54 x -3357423-81 x -2238282-162 x -1119141-243 x -746094-486 x -373047-729 x -248698-1458 x -124349


How do I find the factor combinations of the number 181,300,842?

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 181,300,842, 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.

1 181,300,842
-1 -181,300,842

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 181,300,842.

Example:
1 x 181,300,842 = 181,300,842
and
-1 x -181,300,842 = 181,300,842
Notice both answers equal 181,300,842

With that explanation out of the way, let's continue. Next, we take the number 181,300,842 and divide it by 2:

181,300,842 ÷ 2 = 90,650,421

If the quotient is a whole number, then 2 and 90,650,421 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 90,650,421 181,300,842
-1 -2 -90,650,421 -181,300,842

Now, we try dividing 181,300,842 by 3:

181,300,842 ÷ 3 = 60,433,614

If the quotient is a whole number, then 3 and 60,433,614 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 60,433,614 90,650,421 181,300,842
-1 -2 -3 -60,433,614 -90,650,421 -181,300,842

Let's try dividing by 4:

181,300,842 ÷ 4 = 45,325,210.5

If the quotient is a whole number, then 4 and 45,325,210.5 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 2 3 60,433,614 90,650,421 181,300,842
-1 -2 -3 -60,433,614 -90,650,421 181,300,842
Keep dividing by the next highest number until you cannot divide anymore.

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

12369182754811622434867291,458124,349248,698373,047746,0941,119,1412,238,2823,357,4236,714,84610,072,26920,144,53830,216,80760,433,61490,650,421181,300,842
-1-2-3-6-9-18-27-54-81-162-243-486-729-1,458-124,349-248,698-373,047-746,094-1,119,141-2,238,282-3,357,423-6,714,846-10,072,269-20,144,538-30,216,807-60,433,614-90,650,421-181,300,842

More Examples

Here are some more numbers to try:

181,300,840181,300,841181,300,843181,300,844
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