Q: What are the factor combinations of the number 370,503,043?

 A:
Positive:   1 x 37050304329 x 1277596797 x 38196192813 x 131711
Negative: -1 x -370503043-29 x -12775967-97 x -3819619-2813 x -131711


How do I find the factor combinations of the number 370,503,043?

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 370,503,043, 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.

1 370,503,043
-1 -370,503,043

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 370,503,043.

Example:
1 x 370,503,043 = 370,503,043
and
-1 x -370,503,043 = 370,503,043
Notice both answers equal 370,503,043

With that explanation out of the way, let's continue. Next, we take the number 370,503,043 and divide it by 2:

370,503,043 ÷ 2 = 185,251,521.5

If the quotient is a whole number, then 2 and 185,251,521.5 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:

1 370,503,043
-1 -370,503,043

Now, we try dividing 370,503,043 by 3:

370,503,043 ÷ 3 = 123,501,014.3333

If the quotient is a whole number, then 3 and 123,501,014.3333 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:

1 370,503,043
-1 -370,503,043

Let's try dividing by 4:

370,503,043 ÷ 4 = 92,625,760.75

If the quotient is a whole number, then 4 and 92,625,760.75 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:

1 370,503,043
-1 370,503,043
Keep dividing by the next highest number until you cannot divide anymore.

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

129972,813131,7113,819,61912,775,967370,503,043
-1-29-97-2,813-131,711-3,819,619-12,775,967-370,503,043

More Examples

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