Q: What are the factor combinations of the number 36,472,163?

 A:
Positive:   1 x 364721637 x 521030913 x 280555191 x 400793109 x 334607763 x 478011417 x 257393677 x 9919
Negative: -1 x -36472163-7 x -5210309-13 x -2805551-91 x -400793-109 x -334607-763 x -47801-1417 x -25739-3677 x -9919


How do I find the factor combinations of the number 36,472,163?

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 36,472,163, 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 36,472,163
-1 -36,472,163

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 36,472,163.

Example:
1 x 36,472,163 = 36,472,163
and
-1 x -36,472,163 = 36,472,163
Notice both answers equal 36,472,163

With that explanation out of the way, let's continue. Next, we take the number 36,472,163 and divide it by 2:

36,472,163 ÷ 2 = 18,236,081.5

If the quotient is a whole number, then 2 and 18,236,081.5 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 36,472,163
-1 -36,472,163

Now, we try dividing 36,472,163 by 3:

36,472,163 ÷ 3 = 12,157,387.6667

If the quotient is a whole number, then 3 and 12,157,387.6667 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 36,472,163
-1 -36,472,163

Let's try dividing by 4:

36,472,163 ÷ 4 = 9,118,040.75

If the quotient is a whole number, then 4 and 9,118,040.75 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 36,472,163
-1 36,472,163
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911097631,4173,6779,91925,73947,801334,607400,7932,805,5515,210,30936,472,163
-1-7-13-91-109-763-1,417-3,677-9,919-25,739-47,801-334,607-400,793-2,805,551-5,210,309-36,472,163

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