Q: What are the factor combinations of the number 15,510,671?

 A:
Positive:   1 x 1551067111 x 141006123 x 674377101 x 153571253 x 61307607 x 255531111 x 139612323 x 6677
Negative: -1 x -15510671-11 x -1410061-23 x -674377-101 x -153571-253 x -61307-607 x -25553-1111 x -13961-2323 x -6677


How do I find the factor combinations of the number 15,510,671?

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 15,510,671, 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 15,510,671
-1 -15,510,671

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 15,510,671.

Example:
1 x 15,510,671 = 15,510,671
and
-1 x -15,510,671 = 15,510,671
Notice both answers equal 15,510,671

With that explanation out of the way, let's continue. Next, we take the number 15,510,671 and divide it by 2:

15,510,671 ÷ 2 = 7,755,335.5

If the quotient is a whole number, then 2 and 7,755,335.5 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 15,510,671
-1 -15,510,671

Now, we try dividing 15,510,671 by 3:

15,510,671 ÷ 3 = 5,170,223.6667

If the quotient is a whole number, then 3 and 5,170,223.6667 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 15,510,671
-1 -15,510,671

Let's try dividing by 4:

15,510,671 ÷ 4 = 3,877,667.75

If the quotient is a whole number, then 4 and 3,877,667.75 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 15,510,671
-1 15,510,671
Keep dividing by the next highest number until you cannot divide anymore.

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

111231012536071,1112,3236,67713,96125,55361,307153,571674,3771,410,06115,510,671
-1-11-23-101-253-607-1,111-2,323-6,677-13,961-25,553-61,307-153,571-674,377-1,410,061-15,510,671

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 15,510,671:


Ask a Question