Q: What are the factor combinations of the number 167,370,275?

 A:
Positive:   1 x 1673702755 x 3347405525 x 669481161 x 2743775305 x 5487551525 x 109751
Negative: -1 x -167370275-5 x -33474055-25 x -6694811-61 x -2743775-305 x -548755-1525 x -109751


How do I find the factor combinations of the number 167,370,275?

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 167,370,275, 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.

1 167,370,275
-1 -167,370,275

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 167,370,275.

Example:
1 x 167,370,275 = 167,370,275
and
-1 x -167,370,275 = 167,370,275
Notice both answers equal 167,370,275

With that explanation out of the way, let's continue. Next, we take the number 167,370,275 and divide it by 2:

167,370,275 ÷ 2 = 83,685,137.5

If the quotient is a whole number, then 2 and 83,685,137.5 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:

1 167,370,275
-1 -167,370,275

Now, we try dividing 167,370,275 by 3:

167,370,275 ÷ 3 = 55,790,091.6667

If the quotient is a whole number, then 3 and 55,790,091.6667 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:

1 167,370,275
-1 -167,370,275

Let's try dividing by 4:

167,370,275 ÷ 4 = 41,842,568.75

If the quotient is a whole number, then 4 and 41,842,568.75 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:

1 167,370,275
-1 167,370,275
Keep dividing by the next highest number until you cannot divide anymore.

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

1525613051,525109,751548,7552,743,7756,694,81133,474,055167,370,275
-1-5-25-61-305-1,525-109,751-548,755-2,743,775-6,694,811-33,474,055-167,370,275

More Examples

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