Q: What are the factor combinations of the number 310,235,844?

 A:
Positive:   1 x 3102358442 x 1551179223 x 1034119484 x 775589616 x 5170597412 x 2585298779 x 392703689 x 3485796158 x 1963518178 x 1742898237 x 1309012267 x 1161932316 x 981759356 x 871449474 x 654506534 x 580966948 x 3272531068 x 2904833677 x 843727031 x 441247354 x 4218611031 x 2812414062 x 2206214708 x 21093
Negative: -1 x -310235844-2 x -155117922-3 x -103411948-4 x -77558961-6 x -51705974-12 x -25852987-79 x -3927036-89 x -3485796-158 x -1963518-178 x -1742898-237 x -1309012-267 x -1161932-316 x -981759-356 x -871449-474 x -654506-534 x -580966-948 x -327253-1068 x -290483-3677 x -84372-7031 x -44124-7354 x -42186-11031 x -28124-14062 x -22062-14708 x -21093


How do I find the factor combinations of the number 310,235,844?

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 310,235,844, 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.

1 310,235,844
-1 -310,235,844

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 310,235,844.

Example:
1 x 310,235,844 = 310,235,844
and
-1 x -310,235,844 = 310,235,844
Notice both answers equal 310,235,844

With that explanation out of the way, let's continue. Next, we take the number 310,235,844 and divide it by 2:

310,235,844 ÷ 2 = 155,117,922

If the quotient is a whole number, then 2 and 155,117,922 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 2 155,117,922 310,235,844
-1 -2 -155,117,922 -310,235,844

Now, we try dividing 310,235,844 by 3:

310,235,844 ÷ 3 = 103,411,948

If the quotient is a whole number, then 3 and 103,411,948 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 3 103,411,948 155,117,922 310,235,844
-1 -2 -3 -103,411,948 -155,117,922 -310,235,844

Let's try dividing by 4:

310,235,844 ÷ 4 = 77,558,961

If the quotient is a whole number, then 4 and 77,558,961 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 77,558,961 103,411,948 155,117,922 310,235,844
-1 -2 -3 -4 -77,558,961 -103,411,948 -155,117,922 310,235,844
Keep dividing by the next highest number until you cannot divide anymore.

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

123461279891581782372673163564745349481,0683,6777,0317,35411,03114,06214,70821,09322,06228,12442,18644,12484,372290,483327,253580,966654,506871,449981,7591,161,9321,309,0121,742,8981,963,5183,485,7963,927,03625,852,98751,705,97477,558,961103,411,948155,117,922310,235,844
-1-2-3-4-6-12-79-89-158-178-237-267-316-356-474-534-948-1,068-3,677-7,031-7,354-11,031-14,062-14,708-21,093-22,062-28,124-42,186-44,124-84,372-290,483-327,253-580,966-654,506-871,449-981,759-1,161,932-1,309,012-1,742,898-1,963,518-3,485,796-3,927,036-25,852,987-51,705,974-77,558,961-103,411,948-155,117,922-310,235,844

More Examples

Here are some more numbers to try:

310,235,842310,235,843310,235,845310,235,846
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