Q: What are the factor combinations of the number 37,312,555?

 A:
Positive:   1 x 373125555 x 74625117 x 533036523 x 162228535 x 1066073115 x 324457161 x 231755805 x 46351
Negative: -1 x -37312555-5 x -7462511-7 x -5330365-23 x -1622285-35 x -1066073-115 x -324457-161 x -231755-805 x -46351


How do I find the factor combinations of the number 37,312,555?

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 37,312,555, 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 37,312,555
-1 -37,312,555

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 37,312,555.

Example:
1 x 37,312,555 = 37,312,555
and
-1 x -37,312,555 = 37,312,555
Notice both answers equal 37,312,555

With that explanation out of the way, let's continue. Next, we take the number 37,312,555 and divide it by 2:

37,312,555 ÷ 2 = 18,656,277.5

If the quotient is a whole number, then 2 and 18,656,277.5 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 37,312,555
-1 -37,312,555

Now, we try dividing 37,312,555 by 3:

37,312,555 ÷ 3 = 12,437,518.3333

If the quotient is a whole number, then 3 and 12,437,518.3333 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 37,312,555
-1 -37,312,555

Let's try dividing by 4:

37,312,555 ÷ 4 = 9,328,138.75

If the quotient is a whole number, then 4 and 9,328,138.75 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 37,312,555
-1 37,312,555
Keep dividing by the next highest number until you cannot divide anymore.

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

157233511516180546,351231,755324,4571,066,0731,622,2855,330,3657,462,51137,312,555
-1-5-7-23-35-115-161-805-46,351-231,755-324,457-1,066,073-1,622,285-5,330,365-7,462,511-37,312,555

More Examples

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