Q: What are the factor combinations of the number 36,748,195?

 A:
Positive:   1 x 367481955 x 734963911 x 334074555 x 668149137 x 268235685 x 536471507 x 243854877 x 7535
Negative: -1 x -36748195-5 x -7349639-11 x -3340745-55 x -668149-137 x -268235-685 x -53647-1507 x -24385-4877 x -7535


How do I find the factor combinations of the number 36,748,195?

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 36,748,195, 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 36,748,195
-1 -36,748,195

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 36,748,195.

Example:
1 x 36,748,195 = 36,748,195
and
-1 x -36,748,195 = 36,748,195
Notice both answers equal 36,748,195

With that explanation out of the way, let's continue. Next, we take the number 36,748,195 and divide it by 2:

36,748,195 ÷ 2 = 18,374,097.5

If the quotient is a whole number, then 2 and 18,374,097.5 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 36,748,195
-1 -36,748,195

Now, we try dividing 36,748,195 by 3:

36,748,195 ÷ 3 = 12,249,398.3333

If the quotient is a whole number, then 3 and 12,249,398.3333 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 36,748,195
-1 -36,748,195

Let's try dividing by 4:

36,748,195 ÷ 4 = 9,187,048.75

If the quotient is a whole number, then 4 and 9,187,048.75 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 36,748,195
-1 36,748,195
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551376851,5074,8777,53524,38553,647268,235668,1493,340,7457,349,63936,748,195
-1-5-11-55-137-685-1,507-4,877-7,535-24,385-53,647-268,235-668,149-3,340,745-7,349,639-36,748,195

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