Q: What are the factor combinations of the number 311,021,004?

 A:
Positive:   1 x 3110210042 x 1555105023 x 1036736684 x 777552516 x 518368347 x 4443157212 x 2591841714 x 2221578621 x 1481052428 x 1110789342 x 740526284 x 3702631491 x 633444982 x 3167221473 x 2111481964 x 1583612946 x 1055743437 x 904925892 x 527876874 x 452467541 x 4124410311 x 3016413748 x 2262315082 x 20622
Negative: -1 x -311021004-2 x -155510502-3 x -103673668-4 x -77755251-6 x -51836834-7 x -44431572-12 x -25918417-14 x -22215786-21 x -14810524-28 x -11107893-42 x -7405262-84 x -3702631-491 x -633444-982 x -316722-1473 x -211148-1964 x -158361-2946 x -105574-3437 x -90492-5892 x -52787-6874 x -45246-7541 x -41244-10311 x -30164-13748 x -22623-15082 x -20622


How do I find the factor combinations of the number 311,021,004?

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 311,021,004, 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.

1 311,021,004
-1 -311,021,004

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 311,021,004.

Example:
1 x 311,021,004 = 311,021,004
and
-1 x -311,021,004 = 311,021,004
Notice both answers equal 311,021,004

With that explanation out of the way, let's continue. Next, we take the number 311,021,004 and divide it by 2:

311,021,004 ÷ 2 = 155,510,502

If the quotient is a whole number, then 2 and 155,510,502 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 2 155,510,502 311,021,004
-1 -2 -155,510,502 -311,021,004

Now, we try dividing 311,021,004 by 3:

311,021,004 ÷ 3 = 103,673,668

If the quotient is a whole number, then 3 and 103,673,668 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 3 103,673,668 155,510,502 311,021,004
-1 -2 -3 -103,673,668 -155,510,502 -311,021,004

Let's try dividing by 4:

311,021,004 ÷ 4 = 77,755,251

If the quotient is a whole number, then 4 and 77,755,251 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 77,755,251 103,673,668 155,510,502 311,021,004
-1 -2 -3 -4 -77,755,251 -103,673,668 -155,510,502 311,021,004
Keep dividing by the next highest number until you cannot divide anymore.

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

1234671214212842844919821,4731,9642,9463,4375,8926,8747,54110,31113,74815,08220,62222,62330,16441,24445,24652,78790,492105,574158,361211,148316,722633,4443,702,6317,405,26211,107,89314,810,52422,215,78625,918,41744,431,57251,836,83477,755,251103,673,668155,510,502311,021,004
-1-2-3-4-6-7-12-14-21-28-42-84-491-982-1,473-1,964-2,946-3,437-5,892-6,874-7,541-10,311-13,748-15,082-20,622-22,623-30,164-41,244-45,246-52,787-90,492-105,574-158,361-211,148-316,722-633,444-3,702,631-7,405,262-11,107,893-14,810,524-22,215,786-25,918,417-44,431,572-51,836,834-77,755,251-103,673,668-155,510,502-311,021,004

More Examples

Here are some more numbers to try:

311,021,002311,021,003311,021,005311,021,006
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