Q: What are the factor combinations of the number 160,014,751?

 A:
Positive:   1 x 16001475113 x 1230882719 x 842182937 x 4324723247 x 647833481 x 332671703 x 2276179139 x 17509
Negative: -1 x -160014751-13 x -12308827-19 x -8421829-37 x -4324723-247 x -647833-481 x -332671-703 x -227617-9139 x -17509


How do I find the factor combinations of the number 160,014,751?

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 160,014,751, 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.

1 160,014,751
-1 -160,014,751

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 160,014,751.

Example:
1 x 160,014,751 = 160,014,751
and
-1 x -160,014,751 = 160,014,751
Notice both answers equal 160,014,751

With that explanation out of the way, let's continue. Next, we take the number 160,014,751 and divide it by 2:

160,014,751 ÷ 2 = 80,007,375.5

If the quotient is a whole number, then 2 and 80,007,375.5 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:

1 160,014,751
-1 -160,014,751

Now, we try dividing 160,014,751 by 3:

160,014,751 ÷ 3 = 53,338,250.3333

If the quotient is a whole number, then 3 and 53,338,250.3333 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:

1 160,014,751
-1 -160,014,751

Let's try dividing by 4:

160,014,751 ÷ 4 = 40,003,687.75

If the quotient is a whole number, then 4 and 40,003,687.75 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:

1 160,014,751
-1 160,014,751
Keep dividing by the next highest number until you cannot divide anymore.

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

11319372474817039,13917,509227,617332,671647,8334,324,7238,421,82912,308,827160,014,751
-1-13-19-37-247-481-703-9,139-17,509-227,617-332,671-647,833-4,324,723-8,421,829-12,308,827-160,014,751

More Examples

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