Q: What are the factor combinations of the number 15,500,551?

 A:
Positive:   1 x 1550055111 x 140914123 x 673937197 x 78683253 x 61267311 x 498412167 x 71533421 x 4531
Negative: -1 x -15500551-11 x -1409141-23 x -673937-197 x -78683-253 x -61267-311 x -49841-2167 x -7153-3421 x -4531


How do I find the factor combinations of the number 15,500,551?

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 15,500,551, 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 15,500,551
-1 -15,500,551

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 15,500,551.

Example:
1 x 15,500,551 = 15,500,551
and
-1 x -15,500,551 = 15,500,551
Notice both answers equal 15,500,551

With that explanation out of the way, let's continue. Next, we take the number 15,500,551 and divide it by 2:

15,500,551 ÷ 2 = 7,750,275.5

If the quotient is a whole number, then 2 and 7,750,275.5 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 15,500,551
-1 -15,500,551

Now, we try dividing 15,500,551 by 3:

15,500,551 ÷ 3 = 5,166,850.3333

If the quotient is a whole number, then 3 and 5,166,850.3333 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 15,500,551
-1 -15,500,551

Let's try dividing by 4:

15,500,551 ÷ 4 = 3,875,137.75

If the quotient is a whole number, then 4 and 3,875,137.75 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 15,500,551
-1 15,500,551
Keep dividing by the next highest number until you cannot divide anymore.

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

111231972533112,1673,4214,5317,15349,84161,26778,683673,9371,409,14115,500,551
-1-11-23-197-253-311-2,167-3,421-4,531-7,153-49,841-61,267-78,683-673,937-1,409,141-15,500,551

More Examples

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