Q: What are the factor combinations of the number 367,763,237?

 A:
Positive:   1 x 36776323753 x 6938929157 x 2342441193 x 1905509229 x 16059538321 x 4419710229 x 3595312137 x 30301
Negative: -1 x -367763237-53 x -6938929-157 x -2342441-193 x -1905509-229 x -1605953-8321 x -44197-10229 x -35953-12137 x -30301


How do I find the factor combinations of the number 367,763,237?

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 367,763,237, 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.

1 367,763,237
-1 -367,763,237

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 367,763,237.

Example:
1 x 367,763,237 = 367,763,237
and
-1 x -367,763,237 = 367,763,237
Notice both answers equal 367,763,237

With that explanation out of the way, let's continue. Next, we take the number 367,763,237 and divide it by 2:

367,763,237 ÷ 2 = 183,881,618.5

If the quotient is a whole number, then 2 and 183,881,618.5 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:

1 367,763,237
-1 -367,763,237

Now, we try dividing 367,763,237 by 3:

367,763,237 ÷ 3 = 122,587,745.6667

If the quotient is a whole number, then 3 and 122,587,745.6667 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:

1 367,763,237
-1 -367,763,237

Let's try dividing by 4:

367,763,237 ÷ 4 = 91,940,809.25

If the quotient is a whole number, then 4 and 91,940,809.25 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:

1 367,763,237
-1 367,763,237
Keep dividing by the next highest number until you cannot divide anymore.

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

1531571932298,32110,22912,13730,30135,95344,1971,605,9531,905,5092,342,4416,938,929367,763,237
-1-53-157-193-229-8,321-10,229-12,137-30,301-35,953-44,197-1,605,953-1,905,509-2,342,441-6,938,929-367,763,237

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