Q: What are the factor combinations of the number 160,852,297?

 A:
Positive:   1 x 16085229753 x 3034949101 x 1592597151 x 1065247199 x 8083035353 x 300498003 x 2009910547 x 15251
Negative: -1 x -160852297-53 x -3034949-101 x -1592597-151 x -1065247-199 x -808303-5353 x -30049-8003 x -20099-10547 x -15251


How do I find the factor combinations of the number 160,852,297?

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 160,852,297, 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.

1 160,852,297
-1 -160,852,297

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 160,852,297.

Example:
1 x 160,852,297 = 160,852,297
and
-1 x -160,852,297 = 160,852,297
Notice both answers equal 160,852,297

With that explanation out of the way, let's continue. Next, we take the number 160,852,297 and divide it by 2:

160,852,297 ÷ 2 = 80,426,148.5

If the quotient is a whole number, then 2 and 80,426,148.5 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:

1 160,852,297
-1 -160,852,297

Now, we try dividing 160,852,297 by 3:

160,852,297 ÷ 3 = 53,617,432.3333

If the quotient is a whole number, then 3 and 53,617,432.3333 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:

1 160,852,297
-1 -160,852,297

Let's try dividing by 4:

160,852,297 ÷ 4 = 40,213,074.25

If the quotient is a whole number, then 4 and 40,213,074.25 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:

1 160,852,297
-1 160,852,297
Keep dividing by the next highest number until you cannot divide anymore.

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

1531011511995,3538,00310,54715,25120,09930,049808,3031,065,2471,592,5973,034,949160,852,297
-1-53-101-151-199-5,353-8,003-10,547-15,251-20,099-30,049-808,303-1,065,247-1,592,597-3,034,949-160,852,297

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