Q: What are the factor combinations of the number 5,477,225?

 A:
Positive:   1 x 54772255 x 109544513 x 42132519 x 28827525 x 21908965 x 8426595 x 57655247 x 22175325 x 16853475 x 11531887 x 61751235 x 4435
Negative: -1 x -5477225-5 x -1095445-13 x -421325-19 x -288275-25 x -219089-65 x -84265-95 x -57655-247 x -22175-325 x -16853-475 x -11531-887 x -6175-1235 x -4435


How do I find the factor combinations of the number 5,477,225?

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 5,477,225, 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 5,477,225
-1 -5,477,225

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 5,477,225.

Example:
1 x 5,477,225 = 5,477,225
and
-1 x -5,477,225 = 5,477,225
Notice both answers equal 5,477,225

With that explanation out of the way, let's continue. Next, we take the number 5,477,225 and divide it by 2:

5,477,225 ÷ 2 = 2,738,612.5

If the quotient is a whole number, then 2 and 2,738,612.5 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 5,477,225
-1 -5,477,225

Now, we try dividing 5,477,225 by 3:

5,477,225 ÷ 3 = 1,825,741.6667

If the quotient is a whole number, then 3 and 1,825,741.6667 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 5,477,225
-1 -5,477,225

Let's try dividing by 4:

5,477,225 ÷ 4 = 1,369,306.25

If the quotient is a whole number, then 4 and 1,369,306.25 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 5,477,225
-1 5,477,225
Keep dividing by the next highest number until you cannot divide anymore.

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

1513192565952473254758871,2354,4356,17511,53116,85322,17557,65584,265219,089288,275421,3251,095,4455,477,225
-1-5-13-19-25-65-95-247-325-475-887-1,235-4,435-6,175-11,531-16,853-22,175-57,655-84,265-219,089-288,275-421,325-1,095,445-5,477,225

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