Q: What are the factor combinations of the number 375,072,613?

 A:
Positive:   1 x 37507261373 x 5137981199 x 188478714527 x 25819
Negative: -1 x -375072613-73 x -5137981-199 x -1884787-14527 x -25819


How do I find the factor combinations of the number 375,072,613?

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 375,072,613, 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.

1 375,072,613
-1 -375,072,613

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 375,072,613.

Example:
1 x 375,072,613 = 375,072,613
and
-1 x -375,072,613 = 375,072,613
Notice both answers equal 375,072,613

With that explanation out of the way, let's continue. Next, we take the number 375,072,613 and divide it by 2:

375,072,613 ÷ 2 = 187,536,306.5

If the quotient is a whole number, then 2 and 187,536,306.5 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:

1 375,072,613
-1 -375,072,613

Now, we try dividing 375,072,613 by 3:

375,072,613 ÷ 3 = 125,024,204.3333

If the quotient is a whole number, then 3 and 125,024,204.3333 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:

1 375,072,613
-1 -375,072,613

Let's try dividing by 4:

375,072,613 ÷ 4 = 93,768,153.25

If the quotient is a whole number, then 4 and 93,768,153.25 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:

1 375,072,613
-1 375,072,613
Keep dividing by the next highest number until you cannot divide anymore.

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

17319914,52725,8191,884,7875,137,981375,072,613
-1-73-199-14,527-25,819-1,884,787-5,137,981-375,072,613

More Examples

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