Q: What are the factor combinations of the number 370,064,303?

 A:
Positive:   1 x 3700643037 x 52866329101 x 3664003197 x 1878499707 x 5234291379 x 2683572657 x 13927918599 x 19897
Negative: -1 x -370064303-7 x -52866329-101 x -3664003-197 x -1878499-707 x -523429-1379 x -268357-2657 x -139279-18599 x -19897


How do I find the factor combinations of the number 370,064,303?

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 370,064,303, 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.

1 370,064,303
-1 -370,064,303

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 370,064,303.

Example:
1 x 370,064,303 = 370,064,303
and
-1 x -370,064,303 = 370,064,303
Notice both answers equal 370,064,303

With that explanation out of the way, let's continue. Next, we take the number 370,064,303 and divide it by 2:

370,064,303 ÷ 2 = 185,032,151.5

If the quotient is a whole number, then 2 and 185,032,151.5 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:

1 370,064,303
-1 -370,064,303

Now, we try dividing 370,064,303 by 3:

370,064,303 ÷ 3 = 123,354,767.6667

If the quotient is a whole number, then 3 and 123,354,767.6667 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:

1 370,064,303
-1 -370,064,303

Let's try dividing by 4:

370,064,303 ÷ 4 = 92,516,075.75

If the quotient is a whole number, then 4 and 92,516,075.75 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:

1 370,064,303
-1 370,064,303
Keep dividing by the next highest number until you cannot divide anymore.

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

171011977071,3792,65718,59919,897139,279268,357523,4291,878,4993,664,00352,866,329370,064,303
-1-7-101-197-707-1,379-2,657-18,599-19,897-139,279-268,357-523,429-1,878,499-3,664,003-52,866,329-370,064,303

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