Q: What are the factor combinations of the number 36,357,139?

 A:
Positive:   1 x 363571397 x 519387713 x 279670373 x 49804391 x 399529169 x 215131421 x 86359511 x 71149949 x 383111183 x 307332947 x 123375473 x 6643
Negative: -1 x -36357139-7 x -5193877-13 x -2796703-73 x -498043-91 x -399529-169 x -215131-421 x -86359-511 x -71149-949 x -38311-1183 x -30733-2947 x -12337-5473 x -6643


How do I find the factor combinations of the number 36,357,139?

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 36,357,139, 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 36,357,139
-1 -36,357,139

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 36,357,139.

Example:
1 x 36,357,139 = 36,357,139
and
-1 x -36,357,139 = 36,357,139
Notice both answers equal 36,357,139

With that explanation out of the way, let's continue. Next, we take the number 36,357,139 and divide it by 2:

36,357,139 ÷ 2 = 18,178,569.5

If the quotient is a whole number, then 2 and 18,178,569.5 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 36,357,139
-1 -36,357,139

Now, we try dividing 36,357,139 by 3:

36,357,139 ÷ 3 = 12,119,046.3333

If the quotient is a whole number, then 3 and 12,119,046.3333 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 36,357,139
-1 -36,357,139

Let's try dividing by 4:

36,357,139 ÷ 4 = 9,089,284.75

If the quotient is a whole number, then 4 and 9,089,284.75 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 36,357,139
-1 36,357,139
Keep dividing by the next highest number until you cannot divide anymore.

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

171373911694215119491,1832,9475,4736,64312,33730,73338,31171,14986,359215,131399,529498,0432,796,7035,193,87736,357,139
-1-7-13-73-91-169-421-511-949-1,183-2,947-5,473-6,643-12,337-30,733-38,311-71,149-86,359-215,131-399,529-498,043-2,796,703-5,193,877-36,357,139

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