Q: What are the factor combinations of the number 1,120,175?

 A:
Positive:   1 x 11201755 x 2240357 x 16002525 x 4480735 x 3200537 x 30275173 x 6475175 x 6401185 x 6055259 x 4325865 x 1295925 x 1211
Negative: -1 x -1120175-5 x -224035-7 x -160025-25 x -44807-35 x -32005-37 x -30275-173 x -6475-175 x -6401-185 x -6055-259 x -4325-865 x -1295-925 x -1211


How do I find the factor combinations of the number 1,120,175?

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 1,120,175, 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 1,120,175
-1 -1,120,175

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 1,120,175.

Example:
1 x 1,120,175 = 1,120,175
and
-1 x -1,120,175 = 1,120,175
Notice both answers equal 1,120,175

With that explanation out of the way, let's continue. Next, we take the number 1,120,175 and divide it by 2:

1,120,175 ÷ 2 = 560,087.5

If the quotient is a whole number, then 2 and 560,087.5 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 1,120,175
-1 -1,120,175

Now, we try dividing 1,120,175 by 3:

1,120,175 ÷ 3 = 373,391.6667

If the quotient is a whole number, then 3 and 373,391.6667 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 1,120,175
-1 -1,120,175

Let's try dividing by 4:

1,120,175 ÷ 4 = 280,043.75

If the quotient is a whole number, then 4 and 280,043.75 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 1,120,175
-1 1,120,175
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535371731751852598659251,2111,2954,3256,0556,4016,47530,27532,00544,807160,025224,0351,120,175
-1-5-7-25-35-37-173-175-185-259-865-925-1,211-1,295-4,325-6,055-6,401-6,475-30,275-32,005-44,807-160,025-224,035-1,120,175

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