Q: What are the factor combinations of the number 374,307,131?

 A:
Positive:   1 x 37430713111 x 3402792143 x 8704817473 x 791347
Negative: -1 x -374307131-11 x -34027921-43 x -8704817-473 x -791347


How do I find the factor combinations of the number 374,307,131?

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 374,307,131, 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.

1 374,307,131
-1 -374,307,131

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 374,307,131.

Example:
1 x 374,307,131 = 374,307,131
and
-1 x -374,307,131 = 374,307,131
Notice both answers equal 374,307,131

With that explanation out of the way, let's continue. Next, we take the number 374,307,131 and divide it by 2:

374,307,131 ÷ 2 = 187,153,565.5

If the quotient is a whole number, then 2 and 187,153,565.5 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:

1 374,307,131
-1 -374,307,131

Now, we try dividing 374,307,131 by 3:

374,307,131 ÷ 3 = 124,769,043.6667

If the quotient is a whole number, then 3 and 124,769,043.6667 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:

1 374,307,131
-1 -374,307,131

Let's try dividing by 4:

374,307,131 ÷ 4 = 93,576,782.75

If the quotient is a whole number, then 4 and 93,576,782.75 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:

1 374,307,131
-1 374,307,131
Keep dividing by the next highest number until you cannot divide anymore.

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

11143473791,3478,704,81734,027,921374,307,131
-1-11-43-473-791,347-8,704,817-34,027,921-374,307,131

More Examples

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