Q: What are the factor combinations of the number 21,370,855?

 A:
Positive:   1 x 213708555 x 427417111 x 194280555 x 388561337 x 634151153 x 185351685 x 126833707 x 5765
Negative: -1 x -21370855-5 x -4274171-11 x -1942805-55 x -388561-337 x -63415-1153 x -18535-1685 x -12683-3707 x -5765


How do I find the factor combinations of the number 21,370,855?

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 21,370,855, 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 21,370,855
-1 -21,370,855

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 21,370,855.

Example:
1 x 21,370,855 = 21,370,855
and
-1 x -21,370,855 = 21,370,855
Notice both answers equal 21,370,855

With that explanation out of the way, let's continue. Next, we take the number 21,370,855 and divide it by 2:

21,370,855 ÷ 2 = 10,685,427.5

If the quotient is a whole number, then 2 and 10,685,427.5 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 21,370,855
-1 -21,370,855

Now, we try dividing 21,370,855 by 3:

21,370,855 ÷ 3 = 7,123,618.3333

If the quotient is a whole number, then 3 and 7,123,618.3333 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 21,370,855
-1 -21,370,855

Let's try dividing by 4:

21,370,855 ÷ 4 = 5,342,713.75

If the quotient is a whole number, then 4 and 5,342,713.75 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 21,370,855
-1 21,370,855
Keep dividing by the next highest number until you cannot divide anymore.

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

1511553371,1531,6853,7075,76512,68318,53563,415388,5611,942,8054,274,17121,370,855
-1-5-11-55-337-1,153-1,685-3,707-5,765-12,683-18,535-63,415-388,561-1,942,805-4,274,171-21,370,855

More Examples

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