Q: What are the factor combinations of the number 15,340,655?

 A:
Positive:   1 x 153406555 x 306813111 x 139460523 x 66698555 x 27892167 x 228965115 x 133397181 x 84755253 x 60635335 x 45793737 x 20815905 x 169511265 x 121271541 x 99551991 x 77053685 x 4163
Negative: -1 x -15340655-5 x -3068131-11 x -1394605-23 x -666985-55 x -278921-67 x -228965-115 x -133397-181 x -84755-253 x -60635-335 x -45793-737 x -20815-905 x -16951-1265 x -12127-1541 x -9955-1991 x -7705-3685 x -4163


How do I find the factor combinations of the number 15,340,655?

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 15,340,655, 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 15,340,655
-1 -15,340,655

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 15,340,655.

Example:
1 x 15,340,655 = 15,340,655
and
-1 x -15,340,655 = 15,340,655
Notice both answers equal 15,340,655

With that explanation out of the way, let's continue. Next, we take the number 15,340,655 and divide it by 2:

15,340,655 ÷ 2 = 7,670,327.5

If the quotient is a whole number, then 2 and 7,670,327.5 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 15,340,655
-1 -15,340,655

Now, we try dividing 15,340,655 by 3:

15,340,655 ÷ 3 = 5,113,551.6667

If the quotient is a whole number, then 3 and 5,113,551.6667 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 15,340,655
-1 -15,340,655

Let's try dividing by 4:

15,340,655 ÷ 4 = 3,835,163.75

If the quotient is a whole number, then 4 and 3,835,163.75 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 15,340,655
-1 15,340,655
Keep dividing by the next highest number until you cannot divide anymore.

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

15112355671151812533357379051,2651,5411,9913,6854,1637,7059,95512,12716,95120,81545,79360,63584,755133,397228,965278,921666,9851,394,6053,068,13115,340,655
-1-5-11-23-55-67-115-181-253-335-737-905-1,265-1,541-1,991-3,685-4,163-7,705-9,955-12,127-16,951-20,815-45,793-60,635-84,755-133,397-228,965-278,921-666,985-1,394,605-3,068,131-15,340,655

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