Q: What are the factor combinations of the number 374,040,443?

 A:
Positive:   1 x 3740404437 x 5343434917 x 22002379119 x 3143197
Negative: -1 x -374040443-7 x -53434349-17 x -22002379-119 x -3143197


How do I find the factor combinations of the number 374,040,443?

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 374,040,443, 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.

1 374,040,443
-1 -374,040,443

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 374,040,443.

Example:
1 x 374,040,443 = 374,040,443
and
-1 x -374,040,443 = 374,040,443
Notice both answers equal 374,040,443

With that explanation out of the way, let's continue. Next, we take the number 374,040,443 and divide it by 2:

374,040,443 ÷ 2 = 187,020,221.5

If the quotient is a whole number, then 2 and 187,020,221.5 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:

1 374,040,443
-1 -374,040,443

Now, we try dividing 374,040,443 by 3:

374,040,443 ÷ 3 = 124,680,147.6667

If the quotient is a whole number, then 3 and 124,680,147.6667 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:

1 374,040,443
-1 -374,040,443

Let's try dividing by 4:

374,040,443 ÷ 4 = 93,510,110.75

If the quotient is a whole number, then 4 and 93,510,110.75 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:

1 374,040,443
-1 374,040,443
Keep dividing by the next highest number until you cannot divide anymore.

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

17171193,143,19722,002,37953,434,349374,040,443
-1-7-17-119-3,143,197-22,002,379-53,434,349-374,040,443

More Examples

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