Q: What are the factor combinations of the number 37,667,735?

 A:
Positive:   1 x 376677355 x 75335477 x 538110535 x 107622167 x 562205335 x 112441469 x 803152345 x 16063
Negative: -1 x -37667735-5 x -7533547-7 x -5381105-35 x -1076221-67 x -562205-335 x -112441-469 x -80315-2345 x -16063


How do I find the factor combinations of the number 37,667,735?

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 37,667,735, 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 37,667,735
-1 -37,667,735

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 37,667,735.

Example:
1 x 37,667,735 = 37,667,735
and
-1 x -37,667,735 = 37,667,735
Notice both answers equal 37,667,735

With that explanation out of the way, let's continue. Next, we take the number 37,667,735 and divide it by 2:

37,667,735 ÷ 2 = 18,833,867.5

If the quotient is a whole number, then 2 and 18,833,867.5 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 37,667,735
-1 -37,667,735

Now, we try dividing 37,667,735 by 3:

37,667,735 ÷ 3 = 12,555,911.6667

If the quotient is a whole number, then 3 and 12,555,911.6667 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 37,667,735
-1 -37,667,735

Let's try dividing by 4:

37,667,735 ÷ 4 = 9,416,933.75

If the quotient is a whole number, then 4 and 9,416,933.75 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 37,667,735
-1 37,667,735
Keep dividing by the next highest number until you cannot divide anymore.

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

15735673354692,34516,06380,315112,441562,2051,076,2215,381,1057,533,54737,667,735
-1-5-7-35-67-335-469-2,345-16,063-80,315-112,441-562,205-1,076,221-5,381,105-7,533,547-37,667,735

More Examples

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