Q: What are the factor combinations of the number 143,154,011?

 A:
Positive:   1 x 1431540117 x 2045057311 x 1301400113 x 1101184777 x 185914391 x 1573121121 x 1183091143 x 1001077847 x 1690131001 x 1430111573 x 9100711011 x 13001
Negative: -1 x -143154011-7 x -20450573-11 x -13014001-13 x -11011847-77 x -1859143-91 x -1573121-121 x -1183091-143 x -1001077-847 x -169013-1001 x -143011-1573 x -91007-11011 x -13001


How do I find the factor combinations of the number 143,154,011?

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 143,154,011, 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.

1 143,154,011
-1 -143,154,011

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 143,154,011.

Example:
1 x 143,154,011 = 143,154,011
and
-1 x -143,154,011 = 143,154,011
Notice both answers equal 143,154,011

With that explanation out of the way, let's continue. Next, we take the number 143,154,011 and divide it by 2:

143,154,011 ÷ 2 = 71,577,005.5

If the quotient is a whole number, then 2 and 71,577,005.5 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:

1 143,154,011
-1 -143,154,011

Now, we try dividing 143,154,011 by 3:

143,154,011 ÷ 3 = 47,718,003.6667

If the quotient is a whole number, then 3 and 47,718,003.6667 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:

1 143,154,011
-1 -143,154,011

Let's try dividing by 4:

143,154,011 ÷ 4 = 35,788,502.75

If the quotient is a whole number, then 4 and 35,788,502.75 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:

1 143,154,011
-1 143,154,011
Keep dividing by the next highest number until you cannot divide anymore.

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

17111377911211438471,0011,57311,01113,00191,007143,011169,0131,001,0771,183,0911,573,1211,859,14311,011,84713,014,00120,450,573143,154,011
-1-7-11-13-77-91-121-143-847-1,001-1,573-11,011-13,001-91,007-143,011-169,013-1,001,077-1,183,091-1,573,121-1,859,143-11,011,847-13,014,001-20,450,573-143,154,011

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