Q: What are the factor combinations of the number 160,479,445?

 A:
Positive:   1 x 1604794455 x 320958897 x 2292563535 x 4585127
Negative: -1 x -160479445-5 x -32095889-7 x -22925635-35 x -4585127


How do I find the factor combinations of the number 160,479,445?

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 160,479,445, 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.

1 160,479,445
-1 -160,479,445

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 160,479,445.

Example:
1 x 160,479,445 = 160,479,445
and
-1 x -160,479,445 = 160,479,445
Notice both answers equal 160,479,445

With that explanation out of the way, let's continue. Next, we take the number 160,479,445 and divide it by 2:

160,479,445 ÷ 2 = 80,239,722.5

If the quotient is a whole number, then 2 and 80,239,722.5 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:

1 160,479,445
-1 -160,479,445

Now, we try dividing 160,479,445 by 3:

160,479,445 ÷ 3 = 53,493,148.3333

If the quotient is a whole number, then 3 and 53,493,148.3333 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:

1 160,479,445
-1 -160,479,445

Let's try dividing by 4:

160,479,445 ÷ 4 = 40,119,861.25

If the quotient is a whole number, then 4 and 40,119,861.25 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:

1 160,479,445
-1 160,479,445
Keep dividing by the next highest number until you cannot divide anymore.

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

157354,585,12722,925,63532,095,889160,479,445
-1-5-7-35-4,585,127-22,925,635-32,095,889-160,479,445

More Examples

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