Q: What are the factor combinations of the number 167,104,405?

 A:
Positive:   1 x 1671044055 x 3342088113 x 1285418565 x 2570837277 x 6032651385 x 1206533601 x 464059281 x 18005
Negative: -1 x -167104405-5 x -33420881-13 x -12854185-65 x -2570837-277 x -603265-1385 x -120653-3601 x -46405-9281 x -18005


How do I find the factor combinations of the number 167,104,405?

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 167,104,405, 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.

1 167,104,405
-1 -167,104,405

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 167,104,405.

Example:
1 x 167,104,405 = 167,104,405
and
-1 x -167,104,405 = 167,104,405
Notice both answers equal 167,104,405

With that explanation out of the way, let's continue. Next, we take the number 167,104,405 and divide it by 2:

167,104,405 ÷ 2 = 83,552,202.5

If the quotient is a whole number, then 2 and 83,552,202.5 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:

1 167,104,405
-1 -167,104,405

Now, we try dividing 167,104,405 by 3:

167,104,405 ÷ 3 = 55,701,468.3333

If the quotient is a whole number, then 3 and 55,701,468.3333 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:

1 167,104,405
-1 -167,104,405

Let's try dividing by 4:

167,104,405 ÷ 4 = 41,776,101.25

If the quotient is a whole number, then 4 and 41,776,101.25 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:

1 167,104,405
-1 167,104,405
Keep dividing by the next highest number until you cannot divide anymore.

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

1513652771,3853,6019,28118,00546,405120,653603,2652,570,83712,854,18533,420,881167,104,405
-1-5-13-65-277-1,385-3,601-9,281-18,005-46,405-120,653-603,265-2,570,837-12,854,185-33,420,881-167,104,405

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 167,104,405:


Ask a Question