Q: What are the factor combinations of the number 376,426,033?

 A:
Positive:   1 x 37642603367 x 561829973 x 51565214891 x 76963
Negative: -1 x -376426033-67 x -5618299-73 x -5156521-4891 x -76963


How do I find the factor combinations of the number 376,426,033?

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 376,426,033, 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.

1 376,426,033
-1 -376,426,033

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 376,426,033.

Example:
1 x 376,426,033 = 376,426,033
and
-1 x -376,426,033 = 376,426,033
Notice both answers equal 376,426,033

With that explanation out of the way, let's continue. Next, we take the number 376,426,033 and divide it by 2:

376,426,033 ÷ 2 = 188,213,016.5

If the quotient is a whole number, then 2 and 188,213,016.5 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:

1 376,426,033
-1 -376,426,033

Now, we try dividing 376,426,033 by 3:

376,426,033 ÷ 3 = 125,475,344.3333

If the quotient is a whole number, then 3 and 125,475,344.3333 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:

1 376,426,033
-1 -376,426,033

Let's try dividing by 4:

376,426,033 ÷ 4 = 94,106,508.25

If the quotient is a whole number, then 4 and 94,106,508.25 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:

1 376,426,033
-1 376,426,033
Keep dividing by the next highest number until you cannot divide anymore.

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

167734,89176,9635,156,5215,618,299376,426,033
-1-67-73-4,891-76,963-5,156,521-5,618,299-376,426,033

More Examples

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