Q: What are the factor combinations of the number 37,670,171?

 A:
Positive:   1 x 376701717 x 538145311 x 342456147 x 80149349 x 76877977 x 489223329 x 114499517 x 72863539 x 698891487 x 253332303 x 163573619 x 10409
Negative: -1 x -37670171-7 x -5381453-11 x -3424561-47 x -801493-49 x -768779-77 x -489223-329 x -114499-517 x -72863-539 x -69889-1487 x -25333-2303 x -16357-3619 x -10409


How do I find the factor combinations of the number 37,670,171?

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 37,670,171, 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 37,670,171
-1 -37,670,171

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 37,670,171.

Example:
1 x 37,670,171 = 37,670,171
and
-1 x -37,670,171 = 37,670,171
Notice both answers equal 37,670,171

With that explanation out of the way, let's continue. Next, we take the number 37,670,171 and divide it by 2:

37,670,171 ÷ 2 = 18,835,085.5

If the quotient is a whole number, then 2 and 18,835,085.5 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 37,670,171
-1 -37,670,171

Now, we try dividing 37,670,171 by 3:

37,670,171 ÷ 3 = 12,556,723.6667

If the quotient is a whole number, then 3 and 12,556,723.6667 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 37,670,171
-1 -37,670,171

Let's try dividing by 4:

37,670,171 ÷ 4 = 9,417,542.75

If the quotient is a whole number, then 4 and 9,417,542.75 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 37,670,171
-1 37,670,171
Keep dividing by the next highest number until you cannot divide anymore.

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

17114749773295175391,4872,3033,61910,40916,35725,33369,88972,863114,499489,223768,779801,4933,424,5615,381,45337,670,171
-1-7-11-47-49-77-329-517-539-1,487-2,303-3,619-10,409-16,357-25,333-69,889-72,863-114,499-489,223-768,779-801,493-3,424,561-5,381,453-37,670,171

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