Q: What are the factor combinations of the number 372,570,061?

 A:
Positive:   1 x 372570061
Negative: -1 x -372570061


How do I find the factor combinations of the number 372,570,061?

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 372,570,061, 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.

1 372,570,061
-1 -372,570,061

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 372,570,061.

Example:
1 x 372,570,061 = 372,570,061
and
-1 x -372,570,061 = 372,570,061
Notice both answers equal 372,570,061

With that explanation out of the way, let's continue. Next, we take the number 372,570,061 and divide it by 2:

372,570,061 ÷ 2 = 186,285,030.5

If the quotient is a whole number, then 2 and 186,285,030.5 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:

1 372,570,061
-1 -372,570,061

Now, we try dividing 372,570,061 by 3:

372,570,061 ÷ 3 = 124,190,020.3333

If the quotient is a whole number, then 3 and 124,190,020.3333 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:

1 372,570,061
-1 -372,570,061

Let's try dividing by 4:

372,570,061 ÷ 4 = 93,142,515.25

If the quotient is a whole number, then 4 and 93,142,515.25 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:

1 372,570,061
-1 372,570,061
Keep dividing by the next highest number until you cannot divide anymore.

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

1372,570,061
-1-372,570,061

More Examples

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