Q: What are the factor combinations of the number 1,427,915?

 A:
Positive:   1 x 14279155 x 28558317 x 8399585 x 16799107 x 13345157 x 9095535 x 2669785 x 1819
Negative: -1 x -1427915-5 x -285583-17 x -83995-85 x -16799-107 x -13345-157 x -9095-535 x -2669-785 x -1819


How do I find the factor combinations of the number 1,427,915?

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 1,427,915, 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 1,427,915
-1 -1,427,915

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 1,427,915.

Example:
1 x 1,427,915 = 1,427,915
and
-1 x -1,427,915 = 1,427,915
Notice both answers equal 1,427,915

With that explanation out of the way, let's continue. Next, we take the number 1,427,915 and divide it by 2:

1,427,915 ÷ 2 = 713,957.5

If the quotient is a whole number, then 2 and 713,957.5 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 1,427,915
-1 -1,427,915

Now, we try dividing 1,427,915 by 3:

1,427,915 ÷ 3 = 475,971.6667

If the quotient is a whole number, then 3 and 475,971.6667 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 1,427,915
-1 -1,427,915

Let's try dividing by 4:

1,427,915 ÷ 4 = 356,978.75

If the quotient is a whole number, then 4 and 356,978.75 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 1,427,915
-1 1,427,915
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851071575357851,8192,6699,09513,34516,79983,995285,5831,427,915
-1-5-17-85-107-157-535-785-1,819-2,669-9,095-13,345-16,799-83,995-285,583-1,427,915

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,427,915:


Ask a Question