Q: What are the factor combinations of the number 160,100,076?

 A:
Positive:   1 x 1601000762 x 800500383 x 533666924 x 400250196 x 2668334612 x 13341673
Negative: -1 x -160100076-2 x -80050038-3 x -53366692-4 x -40025019-6 x -26683346-12 x -13341673


How do I find the factor combinations of the number 160,100,076?

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 160,100,076, 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.

1 160,100,076
-1 -160,100,076

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 160,100,076.

Example:
1 x 160,100,076 = 160,100,076
and
-1 x -160,100,076 = 160,100,076
Notice both answers equal 160,100,076

With that explanation out of the way, let's continue. Next, we take the number 160,100,076 and divide it by 2:

160,100,076 ÷ 2 = 80,050,038

If the quotient is a whole number, then 2 and 80,050,038 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 80,050,038 160,100,076
-1 -2 -80,050,038 -160,100,076

Now, we try dividing 160,100,076 by 3:

160,100,076 ÷ 3 = 53,366,692

If the quotient is a whole number, then 3 and 53,366,692 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 53,366,692 80,050,038 160,100,076
-1 -2 -3 -53,366,692 -80,050,038 -160,100,076

Let's try dividing by 4:

160,100,076 ÷ 4 = 40,025,019

If the quotient is a whole number, then 4 and 40,025,019 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 40,025,019 53,366,692 80,050,038 160,100,076
-1 -2 -3 -4 -40,025,019 -53,366,692 -80,050,038 160,100,076
Keep dividing by the next highest number until you cannot divide anymore.

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

123461213,341,67326,683,34640,025,01953,366,69280,050,038160,100,076
-1-2-3-4-6-12-13,341,673-26,683,346-40,025,019-53,366,692-80,050,038-160,100,076

More Examples

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