Q: What are the factor combinations of the number 15,323,077?

 A:
Positive:   1 x 153230777 x 218901111 x 139300777 x 19900179 x 193963121 x 126637229 x 66913553 x 27709847 x 18091869 x 176331603 x 95592519 x 6083
Negative: -1 x -15323077-7 x -2189011-11 x -1393007-77 x -199001-79 x -193963-121 x -126637-229 x -66913-553 x -27709-847 x -18091-869 x -17633-1603 x -9559-2519 x -6083


How do I find the factor combinations of the number 15,323,077?

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 15,323,077, 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 15,323,077
-1 -15,323,077

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 15,323,077.

Example:
1 x 15,323,077 = 15,323,077
and
-1 x -15,323,077 = 15,323,077
Notice both answers equal 15,323,077

With that explanation out of the way, let's continue. Next, we take the number 15,323,077 and divide it by 2:

15,323,077 ÷ 2 = 7,661,538.5

If the quotient is a whole number, then 2 and 7,661,538.5 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 15,323,077
-1 -15,323,077

Now, we try dividing 15,323,077 by 3:

15,323,077 ÷ 3 = 5,107,692.3333

If the quotient is a whole number, then 3 and 5,107,692.3333 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 15,323,077
-1 -15,323,077

Let's try dividing by 4:

15,323,077 ÷ 4 = 3,830,769.25

If the quotient is a whole number, then 4 and 3,830,769.25 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 15,323,077
-1 15,323,077
Keep dividing by the next highest number until you cannot divide anymore.

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

171177791212295538478691,6032,5196,0839,55917,63318,09127,70966,913126,637193,963199,0011,393,0072,189,01115,323,077
-1-7-11-77-79-121-229-553-847-869-1,603-2,519-6,083-9,559-17,633-18,091-27,709-66,913-126,637-193,963-199,001-1,393,007-2,189,011-15,323,077

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