Q: What are the factor combinations of the number 27,070,175?

 A:
Positive:   1 x 270701755 x 541403511 x 246092525 x 108280755 x 492185173 x 156475275 x 98437569 x 47575865 x 312951903 x 142252845 x 95154325 x 6259
Negative: -1 x -27070175-5 x -5414035-11 x -2460925-25 x -1082807-55 x -492185-173 x -156475-275 x -98437-569 x -47575-865 x -31295-1903 x -14225-2845 x -9515-4325 x -6259


How do I find the factor combinations of the number 27,070,175?

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 27,070,175, 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 27,070,175
-1 -27,070,175

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 27,070,175.

Example:
1 x 27,070,175 = 27,070,175
and
-1 x -27,070,175 = 27,070,175
Notice both answers equal 27,070,175

With that explanation out of the way, let's continue. Next, we take the number 27,070,175 and divide it by 2:

27,070,175 ÷ 2 = 13,535,087.5

If the quotient is a whole number, then 2 and 13,535,087.5 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 27,070,175
-1 -27,070,175

Now, we try dividing 27,070,175 by 3:

27,070,175 ÷ 3 = 9,023,391.6667

If the quotient is a whole number, then 3 and 9,023,391.6667 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 27,070,175
-1 -27,070,175

Let's try dividing by 4:

27,070,175 ÷ 4 = 6,767,543.75

If the quotient is a whole number, then 4 and 6,767,543.75 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 27,070,175
-1 27,070,175
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551732755698651,9032,8454,3256,2599,51514,22531,29547,57598,437156,475492,1851,082,8072,460,9255,414,03527,070,175
-1-5-11-25-55-173-275-569-865-1,903-2,845-4,325-6,259-9,515-14,225-31,295-47,575-98,437-156,475-492,185-1,082,807-2,460,925-5,414,035-27,070,175

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