Q: What are the factor combinations of the number 8,737,495?

 A:
Positive:   1 x 87374955 x 174749913 x 67211565 x 134423229 x 38155587 x 148851145 x 76312935 x 2977
Negative: -1 x -8737495-5 x -1747499-13 x -672115-65 x -134423-229 x -38155-587 x -14885-1145 x -7631-2935 x -2977


How do I find the factor combinations of the number 8,737,495?

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 8,737,495, 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 8,737,495
-1 -8,737,495

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 8,737,495.

Example:
1 x 8,737,495 = 8,737,495
and
-1 x -8,737,495 = 8,737,495
Notice both answers equal 8,737,495

With that explanation out of the way, let's continue. Next, we take the number 8,737,495 and divide it by 2:

8,737,495 ÷ 2 = 4,368,747.5

If the quotient is a whole number, then 2 and 4,368,747.5 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 8,737,495
-1 -8,737,495

Now, we try dividing 8,737,495 by 3:

8,737,495 ÷ 3 = 2,912,498.3333

If the quotient is a whole number, then 3 and 2,912,498.3333 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 8,737,495
-1 -8,737,495

Let's try dividing by 4:

8,737,495 ÷ 4 = 2,184,373.75

If the quotient is a whole number, then 4 and 2,184,373.75 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 8,737,495
-1 8,737,495
Keep dividing by the next highest number until you cannot divide anymore.

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

1513652295871,1452,9352,9777,63114,88538,155134,423672,1151,747,4998,737,495
-1-5-13-65-229-587-1,145-2,935-2,977-7,631-14,885-38,155-134,423-672,115-1,747,499-8,737,495

More Examples

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