Q: What are the factor combinations of the number 37,218,685?

 A:
Positive:   1 x 372186855 x 74437377 x 531695535 x 106339149 x 75956573 x 509845245 x 151913365 x 101969511 x 728352081 x 178852555 x 145673577 x 10405
Negative: -1 x -37218685-5 x -7443737-7 x -5316955-35 x -1063391-49 x -759565-73 x -509845-245 x -151913-365 x -101969-511 x -72835-2081 x -17885-2555 x -14567-3577 x -10405


How do I find the factor combinations of the number 37,218,685?

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 37,218,685, 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 37,218,685
-1 -37,218,685

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 37,218,685.

Example:
1 x 37,218,685 = 37,218,685
and
-1 x -37,218,685 = 37,218,685
Notice both answers equal 37,218,685

With that explanation out of the way, let's continue. Next, we take the number 37,218,685 and divide it by 2:

37,218,685 ÷ 2 = 18,609,342.5

If the quotient is a whole number, then 2 and 18,609,342.5 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 37,218,685
-1 -37,218,685

Now, we try dividing 37,218,685 by 3:

37,218,685 ÷ 3 = 12,406,228.3333

If the quotient is a whole number, then 3 and 12,406,228.3333 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 37,218,685
-1 -37,218,685

Let's try dividing by 4:

37,218,685 ÷ 4 = 9,304,671.25

If the quotient is a whole number, then 4 and 9,304,671.25 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 37,218,685
-1 37,218,685
Keep dividing by the next highest number until you cannot divide anymore.

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

1573549732453655112,0812,5553,57710,40514,56717,88572,835101,969151,913509,845759,5651,063,3915,316,9557,443,73737,218,685
-1-5-7-35-49-73-245-365-511-2,081-2,555-3,577-10,405-14,567-17,885-72,835-101,969-151,913-509,845-759,565-1,063,391-5,316,955-7,443,737-37,218,685

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