Q: What are the factor combinations of the number 120,177,475?

 A:
Positive:   1 x 1201774755 x 2403549511 x 1092522525 x 480709943 x 279482555 x 2185045215 x 558965275 x 437009473 x 2540751075 x 1117932365 x 5081510163 x 11825
Negative: -1 x -120177475-5 x -24035495-11 x -10925225-25 x -4807099-43 x -2794825-55 x -2185045-215 x -558965-275 x -437009-473 x -254075-1075 x -111793-2365 x -50815-10163 x -11825


How do I find the factor combinations of the number 120,177,475?

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 120,177,475, 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.

1 120,177,475
-1 -120,177,475

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 120,177,475.

Example:
1 x 120,177,475 = 120,177,475
and
-1 x -120,177,475 = 120,177,475
Notice both answers equal 120,177,475

With that explanation out of the way, let's continue. Next, we take the number 120,177,475 and divide it by 2:

120,177,475 ÷ 2 = 60,088,737.5

If the quotient is a whole number, then 2 and 60,088,737.5 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:

1 120,177,475
-1 -120,177,475

Now, we try dividing 120,177,475 by 3:

120,177,475 ÷ 3 = 40,059,158.3333

If the quotient is a whole number, then 3 and 40,059,158.3333 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:

1 120,177,475
-1 -120,177,475

Let's try dividing by 4:

120,177,475 ÷ 4 = 30,044,368.75

If the quotient is a whole number, then 4 and 30,044,368.75 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:

1 120,177,475
-1 120,177,475
Keep dividing by the next highest number until you cannot divide anymore.

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

15112543552152754731,0752,36510,16311,82550,815111,793254,075437,009558,9652,185,0452,794,8254,807,09910,925,22524,035,495120,177,475
-1-5-11-25-43-55-215-275-473-1,075-2,365-10,163-11,825-50,815-111,793-254,075-437,009-558,965-2,185,045-2,794,825-4,807,099-10,925,225-24,035,495-120,177,475

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 120,177,475:


Ask a Question