Q: What are the factor combinations of the number 37,153,165?

 A:
Positive:   1 x 371531655 x 74306337 x 530759523 x 161535535 x 1061519115 x 323071161 x 230765805 x 46153
Negative: -1 x -37153165-5 x -7430633-7 x -5307595-23 x -1615355-35 x -1061519-115 x -323071-161 x -230765-805 x -46153


How do I find the factor combinations of the number 37,153,165?

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 37,153,165, 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 37,153,165
-1 -37,153,165

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 37,153,165.

Example:
1 x 37,153,165 = 37,153,165
and
-1 x -37,153,165 = 37,153,165
Notice both answers equal 37,153,165

With that explanation out of the way, let's continue. Next, we take the number 37,153,165 and divide it by 2:

37,153,165 ÷ 2 = 18,576,582.5

If the quotient is a whole number, then 2 and 18,576,582.5 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 37,153,165
-1 -37,153,165

Now, we try dividing 37,153,165 by 3:

37,153,165 ÷ 3 = 12,384,388.3333

If the quotient is a whole number, then 3 and 12,384,388.3333 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 37,153,165
-1 -37,153,165

Let's try dividing by 4:

37,153,165 ÷ 4 = 9,288,291.25

If the quotient is a whole number, then 4 and 9,288,291.25 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 37,153,165
-1 37,153,165
Keep dividing by the next highest number until you cannot divide anymore.

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

157233511516180546,153230,765323,0711,061,5191,615,3555,307,5957,430,63337,153,165
-1-5-7-23-35-115-161-805-46,153-230,765-323,071-1,061,519-1,615,355-5,307,595-7,430,633-37,153,165

More Examples

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