Q: What are the factor combinations of the number 160,107,101?

 A:
Positive:   1 x 1601071017 x 2287244311 x 1455519177 x 2079313113 x 1416877791 x 2024111243 x 1288078701 x 18401
Negative: -1 x -160107101-7 x -22872443-11 x -14555191-77 x -2079313-113 x -1416877-791 x -202411-1243 x -128807-8701 x -18401


How do I find the factor combinations of the number 160,107,101?

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 160,107,101, 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.

1 160,107,101
-1 -160,107,101

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 160,107,101.

Example:
1 x 160,107,101 = 160,107,101
and
-1 x -160,107,101 = 160,107,101
Notice both answers equal 160,107,101

With that explanation out of the way, let's continue. Next, we take the number 160,107,101 and divide it by 2:

160,107,101 ÷ 2 = 80,053,550.5

If the quotient is a whole number, then 2 and 80,053,550.5 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:

1 160,107,101
-1 -160,107,101

Now, we try dividing 160,107,101 by 3:

160,107,101 ÷ 3 = 53,369,033.6667

If the quotient is a whole number, then 3 and 53,369,033.6667 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:

1 160,107,101
-1 -160,107,101

Let's try dividing by 4:

160,107,101 ÷ 4 = 40,026,775.25

If the quotient is a whole number, then 4 and 40,026,775.25 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:

1 160,107,101
-1 160,107,101
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771137911,2438,70118,401128,807202,4111,416,8772,079,31314,555,19122,872,443160,107,101
-1-7-11-77-113-791-1,243-8,701-18,401-128,807-202,411-1,416,877-2,079,313-14,555,191-22,872,443-160,107,101

More Examples

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