Q: What are the factor combinations of the number 3,787,355?

 A:
Positive:   1 x 37873555 x 75747111 x 34430513 x 29133555 x 6886165 x 58267143 x 26485715 x 5297
Negative: -1 x -3787355-5 x -757471-11 x -344305-13 x -291335-55 x -68861-65 x -58267-143 x -26485-715 x -5297


How do I find the factor combinations of the number 3,787,355?

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 3,787,355, 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 3,787,355
-1 -3,787,355

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 3,787,355.

Example:
1 x 3,787,355 = 3,787,355
and
-1 x -3,787,355 = 3,787,355
Notice both answers equal 3,787,355

With that explanation out of the way, let's continue. Next, we take the number 3,787,355 and divide it by 2:

3,787,355 ÷ 2 = 1,893,677.5

If the quotient is a whole number, then 2 and 1,893,677.5 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 3,787,355
-1 -3,787,355

Now, we try dividing 3,787,355 by 3:

3,787,355 ÷ 3 = 1,262,451.6667

If the quotient is a whole number, then 3 and 1,262,451.6667 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 3,787,355
-1 -3,787,355

Let's try dividing by 4:

3,787,355 ÷ 4 = 946,838.75

If the quotient is a whole number, then 4 and 946,838.75 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 3,787,355
-1 3,787,355
Keep dividing by the next highest number until you cannot divide anymore.

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

15111355651437155,29726,48558,26768,861291,335344,305757,4713,787,355
-1-5-11-13-55-65-143-715-5,297-26,485-58,267-68,861-291,335-344,305-757,471-3,787,355

More Examples

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