Q: What are the factor combinations of the number 37,736,035?

 A:
Positive:   1 x 377360355 x 75472071367 x 276055521 x 6835
Negative: -1 x -37736035-5 x -7547207-1367 x -27605-5521 x -6835


How do I find the factor combinations of the number 37,736,035?

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 37,736,035, 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 37,736,035
-1 -37,736,035

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 37,736,035.

Example:
1 x 37,736,035 = 37,736,035
and
-1 x -37,736,035 = 37,736,035
Notice both answers equal 37,736,035

With that explanation out of the way, let's continue. Next, we take the number 37,736,035 and divide it by 2:

37,736,035 ÷ 2 = 18,868,017.5

If the quotient is a whole number, then 2 and 18,868,017.5 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 37,736,035
-1 -37,736,035

Now, we try dividing 37,736,035 by 3:

37,736,035 ÷ 3 = 12,578,678.3333

If the quotient is a whole number, then 3 and 12,578,678.3333 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 37,736,035
-1 -37,736,035

Let's try dividing by 4:

37,736,035 ÷ 4 = 9,434,008.75

If the quotient is a whole number, then 4 and 9,434,008.75 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 37,736,035
-1 37,736,035
Keep dividing by the next highest number until you cannot divide anymore.

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

151,3675,5216,83527,6057,547,20737,736,035
-1-5-1,367-5,521-6,835-27,605-7,547,207-37,736,035

More Examples

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