Q: What are the factor combinations of the number 37,367,407?

 A:
Positive:   1 x 373674077 x 533820111 x 339703777 x 48529197 x 385231679 x 550331067 x 350215003 x 7469
Negative: -1 x -37367407-7 x -5338201-11 x -3397037-77 x -485291-97 x -385231-679 x -55033-1067 x -35021-5003 x -7469


How do I find the factor combinations of the number 37,367,407?

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 37,367,407, 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 37,367,407
-1 -37,367,407

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 37,367,407.

Example:
1 x 37,367,407 = 37,367,407
and
-1 x -37,367,407 = 37,367,407
Notice both answers equal 37,367,407

With that explanation out of the way, let's continue. Next, we take the number 37,367,407 and divide it by 2:

37,367,407 ÷ 2 = 18,683,703.5

If the quotient is a whole number, then 2 and 18,683,703.5 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 37,367,407
-1 -37,367,407

Now, we try dividing 37,367,407 by 3:

37,367,407 ÷ 3 = 12,455,802.3333

If the quotient is a whole number, then 3 and 12,455,802.3333 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 37,367,407
-1 -37,367,407

Let's try dividing by 4:

37,367,407 ÷ 4 = 9,341,851.75

If the quotient is a whole number, then 4 and 9,341,851.75 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 37,367,407
-1 37,367,407
Keep dividing by the next highest number until you cannot divide anymore.

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

171177976791,0675,0037,46935,02155,033385,231485,2913,397,0375,338,20137,367,407
-1-7-11-77-97-679-1,067-5,003-7,469-35,021-55,033-385,231-485,291-3,397,037-5,338,201-37,367,407

More Examples

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