Q: What are the factor combinations of the number 367,134,677?

 A:
Positive:   1 x 3671346777 x 5244781113 x 2824112991 x 40344471163 x 3156793469 x 1058338141 x 4509715119 x 24283
Negative: -1 x -367134677-7 x -52447811-13 x -28241129-91 x -4034447-1163 x -315679-3469 x -105833-8141 x -45097-15119 x -24283


How do I find the factor combinations of the number 367,134,677?

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 367,134,677, 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.

1 367,134,677
-1 -367,134,677

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 367,134,677.

Example:
1 x 367,134,677 = 367,134,677
and
-1 x -367,134,677 = 367,134,677
Notice both answers equal 367,134,677

With that explanation out of the way, let's continue. Next, we take the number 367,134,677 and divide it by 2:

367,134,677 ÷ 2 = 183,567,338.5

If the quotient is a whole number, then 2 and 183,567,338.5 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:

1 367,134,677
-1 -367,134,677

Now, we try dividing 367,134,677 by 3:

367,134,677 ÷ 3 = 122,378,225.6667

If the quotient is a whole number, then 3 and 122,378,225.6667 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:

1 367,134,677
-1 -367,134,677

Let's try dividing by 4:

367,134,677 ÷ 4 = 91,783,669.25

If the quotient is a whole number, then 4 and 91,783,669.25 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:

1 367,134,677
-1 367,134,677
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911,1633,4698,14115,11924,28345,097105,833315,6794,034,44728,241,12952,447,811367,134,677
-1-7-13-91-1,163-3,469-8,141-15,119-24,283-45,097-105,833-315,679-4,034,447-28,241,129-52,447,811-367,134,677

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