Q: What are the factor combinations of the number 16,142,035?

 A:
Positive:   1 x 161420355 x 32284077 x 230600513 x 124169535 x 46120165 x 24833991 x 177385169 x 95515455 x 35477845 x 191031183 x 136452729 x 5915
Negative: -1 x -16142035-5 x -3228407-7 x -2306005-13 x -1241695-35 x -461201-65 x -248339-91 x -177385-169 x -95515-455 x -35477-845 x -19103-1183 x -13645-2729 x -5915


How do I find the factor combinations of the number 16,142,035?

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 16,142,035, 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 16,142,035
-1 -16,142,035

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 16,142,035.

Example:
1 x 16,142,035 = 16,142,035
and
-1 x -16,142,035 = 16,142,035
Notice both answers equal 16,142,035

With that explanation out of the way, let's continue. Next, we take the number 16,142,035 and divide it by 2:

16,142,035 ÷ 2 = 8,071,017.5

If the quotient is a whole number, then 2 and 8,071,017.5 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 16,142,035
-1 -16,142,035

Now, we try dividing 16,142,035 by 3:

16,142,035 ÷ 3 = 5,380,678.3333

If the quotient is a whole number, then 3 and 5,380,678.3333 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 16,142,035
-1 -16,142,035

Let's try dividing by 4:

16,142,035 ÷ 4 = 4,035,508.75

If the quotient is a whole number, then 4 and 4,035,508.75 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 16,142,035
-1 16,142,035
Keep dividing by the next highest number until you cannot divide anymore.

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

157133565911694558451,1832,7295,91513,64519,10335,47795,515177,385248,339461,2011,241,6952,306,0053,228,40716,142,035
-1-5-7-13-35-65-91-169-455-845-1,183-2,729-5,915-13,645-19,103-35,477-95,515-177,385-248,339-461,201-1,241,695-2,306,005-3,228,407-16,142,035

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