Q: What are the factor combinations of the number 160,611,529?

 A:
Positive:   1 x 16061152913 x 1235473317 x 944773767 x 2397187221 x 726749871 x 1843991139 x 14101110847 x 14807
Negative: -1 x -160611529-13 x -12354733-17 x -9447737-67 x -2397187-221 x -726749-871 x -184399-1139 x -141011-10847 x -14807


How do I find the factor combinations of the number 160,611,529?

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 160,611,529, 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.

1 160,611,529
-1 -160,611,529

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 160,611,529.

Example:
1 x 160,611,529 = 160,611,529
and
-1 x -160,611,529 = 160,611,529
Notice both answers equal 160,611,529

With that explanation out of the way, let's continue. Next, we take the number 160,611,529 and divide it by 2:

160,611,529 ÷ 2 = 80,305,764.5

If the quotient is a whole number, then 2 and 80,305,764.5 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:

1 160,611,529
-1 -160,611,529

Now, we try dividing 160,611,529 by 3:

160,611,529 ÷ 3 = 53,537,176.3333

If the quotient is a whole number, then 3 and 53,537,176.3333 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:

1 160,611,529
-1 -160,611,529

Let's try dividing by 4:

160,611,529 ÷ 4 = 40,152,882.25

If the quotient is a whole number, then 4 and 40,152,882.25 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:

1 160,611,529
-1 160,611,529
Keep dividing by the next highest number until you cannot divide anymore.

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

11317672218711,13910,84714,807141,011184,399726,7492,397,1879,447,73712,354,733160,611,529
-1-13-17-67-221-871-1,139-10,847-14,807-141,011-184,399-726,749-2,397,187-9,447,737-12,354,733-160,611,529

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