Q: What are the factor combinations of the number 31,670,473?

 A:
Positive:   1 x 3167047317 x 186296919 x 166686771 x 446063323 x 980511207 x 262391349 x 234771381 x 22933
Negative: -1 x -31670473-17 x -1862969-19 x -1666867-71 x -446063-323 x -98051-1207 x -26239-1349 x -23477-1381 x -22933


How do I find the factor combinations of the number 31,670,473?

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 31,670,473, 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 31,670,473
-1 -31,670,473

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 31,670,473.

Example:
1 x 31,670,473 = 31,670,473
and
-1 x -31,670,473 = 31,670,473
Notice both answers equal 31,670,473

With that explanation out of the way, let's continue. Next, we take the number 31,670,473 and divide it by 2:

31,670,473 ÷ 2 = 15,835,236.5

If the quotient is a whole number, then 2 and 15,835,236.5 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 31,670,473
-1 -31,670,473

Now, we try dividing 31,670,473 by 3:

31,670,473 ÷ 3 = 10,556,824.3333

If the quotient is a whole number, then 3 and 10,556,824.3333 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 31,670,473
-1 -31,670,473

Let's try dividing by 4:

31,670,473 ÷ 4 = 7,917,618.25

If the quotient is a whole number, then 4 and 7,917,618.25 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 31,670,473
-1 31,670,473
Keep dividing by the next highest number until you cannot divide anymore.

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

11719713231,2071,3491,38122,93323,47726,23998,051446,0631,666,8671,862,96931,670,473
-1-17-19-71-323-1,207-1,349-1,381-22,933-23,477-26,239-98,051-446,063-1,666,867-1,862,969-31,670,473

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