Q: What are the factor combinations of the number 160,767,061?

 A:
Positive:   1 x 1607670617 x 2296672313 x 1236669791 x 17666711201 x 1338611471 x 1092918407 x 1912310297 x 15613
Negative: -1 x -160767061-7 x -22966723-13 x -12366697-91 x -1766671-1201 x -133861-1471 x -109291-8407 x -19123-10297 x -15613


How do I find the factor combinations of the number 160,767,061?

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 160,767,061, 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.

1 160,767,061
-1 -160,767,061

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 160,767,061.

Example:
1 x 160,767,061 = 160,767,061
and
-1 x -160,767,061 = 160,767,061
Notice both answers equal 160,767,061

With that explanation out of the way, let's continue. Next, we take the number 160,767,061 and divide it by 2:

160,767,061 ÷ 2 = 80,383,530.5

If the quotient is a whole number, then 2 and 80,383,530.5 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:

1 160,767,061
-1 -160,767,061

Now, we try dividing 160,767,061 by 3:

160,767,061 ÷ 3 = 53,589,020.3333

If the quotient is a whole number, then 3 and 53,589,020.3333 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:

1 160,767,061
-1 -160,767,061

Let's try dividing by 4:

160,767,061 ÷ 4 = 40,191,765.25

If the quotient is a whole number, then 4 and 40,191,765.25 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:

1 160,767,061
-1 160,767,061
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911,2011,4718,40710,29715,61319,123109,291133,8611,766,67112,366,69722,966,723160,767,061
-1-7-13-91-1,201-1,471-8,407-10,297-15,613-19,123-109,291-133,861-1,766,671-12,366,697-22,966,723-160,767,061

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