Q: What are the factor combinations of the number 37,157,435?

 A:
Positive:   1 x 371574355 x 74314877 x 530820535 x 106164137 x 100425549 x 758315185 x 200851245 x 151663259 x 1434651295 x 286931813 x 204954099 x 9065
Negative: -1 x -37157435-5 x -7431487-7 x -5308205-35 x -1061641-37 x -1004255-49 x -758315-185 x -200851-245 x -151663-259 x -143465-1295 x -28693-1813 x -20495-4099 x -9065


How do I find the factor combinations of the number 37,157,435?

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 37,157,435, 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 37,157,435
-1 -37,157,435

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 37,157,435.

Example:
1 x 37,157,435 = 37,157,435
and
-1 x -37,157,435 = 37,157,435
Notice both answers equal 37,157,435

With that explanation out of the way, let's continue. Next, we take the number 37,157,435 and divide it by 2:

37,157,435 ÷ 2 = 18,578,717.5

If the quotient is a whole number, then 2 and 18,578,717.5 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 37,157,435
-1 -37,157,435

Now, we try dividing 37,157,435 by 3:

37,157,435 ÷ 3 = 12,385,811.6667

If the quotient is a whole number, then 3 and 12,385,811.6667 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 37,157,435
-1 -37,157,435

Let's try dividing by 4:

37,157,435 ÷ 4 = 9,289,358.75

If the quotient is a whole number, then 4 and 9,289,358.75 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 37,157,435
-1 37,157,435
Keep dividing by the next highest number until you cannot divide anymore.

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

1573537491852452591,2951,8134,0999,06520,49528,693143,465151,663200,851758,3151,004,2551,061,6415,308,2057,431,48737,157,435
-1-5-7-35-37-49-185-245-259-1,295-1,813-4,099-9,065-20,495-28,693-143,465-151,663-200,851-758,315-1,004,255-1,061,641-5,308,205-7,431,487-37,157,435

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