Q: What are the factor combinations of the number 370,307,707?

 A:
Positive:   1 x 3703077077 x 5290110111 x 3366433777 x 48091912081 x 1779472311 x 16023714567 x 2542116177 x 22891
Negative: -1 x -370307707-7 x -52901101-11 x -33664337-77 x -4809191-2081 x -177947-2311 x -160237-14567 x -25421-16177 x -22891


How do I find the factor combinations of the number 370,307,707?

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 370,307,707, 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.

1 370,307,707
-1 -370,307,707

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 370,307,707.

Example:
1 x 370,307,707 = 370,307,707
and
-1 x -370,307,707 = 370,307,707
Notice both answers equal 370,307,707

With that explanation out of the way, let's continue. Next, we take the number 370,307,707 and divide it by 2:

370,307,707 ÷ 2 = 185,153,853.5

If the quotient is a whole number, then 2 and 185,153,853.5 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:

1 370,307,707
-1 -370,307,707

Now, we try dividing 370,307,707 by 3:

370,307,707 ÷ 3 = 123,435,902.3333

If the quotient is a whole number, then 3 and 123,435,902.3333 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:

1 370,307,707
-1 -370,307,707

Let's try dividing by 4:

370,307,707 ÷ 4 = 92,576,926.75

If the quotient is a whole number, then 4 and 92,576,926.75 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:

1 370,307,707
-1 370,307,707
Keep dividing by the next highest number until you cannot divide anymore.

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

1711772,0812,31114,56716,17722,89125,421160,237177,9474,809,19133,664,33752,901,101370,307,707
-1-7-11-77-2,081-2,311-14,567-16,177-22,891-25,421-160,237-177,947-4,809,191-33,664,337-52,901,101-370,307,707

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 370,307,707:


Ask a Question