Q: What are the factor combinations of the number 160,106,155?

 A:
Positive:   1 x 1601061555 x 3202123111 x 1455510555 x 291102173 x 2193235365 x 438647803 x 1993854015 x 39877
Negative: -1 x -160106155-5 x -32021231-11 x -14555105-55 x -2911021-73 x -2193235-365 x -438647-803 x -199385-4015 x -39877


How do I find the factor combinations of the number 160,106,155?

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 160,106,155, 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.

1 160,106,155
-1 -160,106,155

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 160,106,155.

Example:
1 x 160,106,155 = 160,106,155
and
-1 x -160,106,155 = 160,106,155
Notice both answers equal 160,106,155

With that explanation out of the way, let's continue. Next, we take the number 160,106,155 and divide it by 2:

160,106,155 ÷ 2 = 80,053,077.5

If the quotient is a whole number, then 2 and 80,053,077.5 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:

1 160,106,155
-1 -160,106,155

Now, we try dividing 160,106,155 by 3:

160,106,155 ÷ 3 = 53,368,718.3333

If the quotient is a whole number, then 3 and 53,368,718.3333 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:

1 160,106,155
-1 -160,106,155

Let's try dividing by 4:

160,106,155 ÷ 4 = 40,026,538.75

If the quotient is a whole number, then 4 and 40,026,538.75 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:

1 160,106,155
-1 160,106,155
Keep dividing by the next highest number until you cannot divide anymore.

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

151155733658034,01539,877199,385438,6472,193,2352,911,02114,555,10532,021,231160,106,155
-1-5-11-55-73-365-803-4,015-39,877-199,385-438,647-2,193,235-2,911,021-14,555,105-32,021,231-160,106,155

More Examples

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