Q: What are the factor combinations of the number 153,343,001?

 A:
Positive:   1 x 1533430017 x 2190614323 x 666708749 x 3129449103 x 1488767161 x 952441721 x 2126811127 x 1360631321 x 1160812369 x 647295047 x 303839247 x 16583
Negative: -1 x -153343001-7 x -21906143-23 x -6667087-49 x -3129449-103 x -1488767-161 x -952441-721 x -212681-1127 x -136063-1321 x -116081-2369 x -64729-5047 x -30383-9247 x -16583


How do I find the factor combinations of the number 153,343,001?

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 153,343,001, 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.

1 153,343,001
-1 -153,343,001

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 153,343,001.

Example:
1 x 153,343,001 = 153,343,001
and
-1 x -153,343,001 = 153,343,001
Notice both answers equal 153,343,001

With that explanation out of the way, let's continue. Next, we take the number 153,343,001 and divide it by 2:

153,343,001 ÷ 2 = 76,671,500.5

If the quotient is a whole number, then 2 and 76,671,500.5 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:

1 153,343,001
-1 -153,343,001

Now, we try dividing 153,343,001 by 3:

153,343,001 ÷ 3 = 51,114,333.6667

If the quotient is a whole number, then 3 and 51,114,333.6667 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:

1 153,343,001
-1 -153,343,001

Let's try dividing by 4:

153,343,001 ÷ 4 = 38,335,750.25

If the quotient is a whole number, then 4 and 38,335,750.25 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:

1 153,343,001
-1 153,343,001
Keep dividing by the next highest number until you cannot divide anymore.

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

1723491031617211,1271,3212,3695,0479,24716,58330,38364,729116,081136,063212,681952,4411,488,7673,129,4496,667,08721,906,143153,343,001
-1-7-23-49-103-161-721-1,127-1,321-2,369-5,047-9,247-16,583-30,383-64,729-116,081-136,063-212,681-952,441-1,488,767-3,129,449-6,667,087-21,906,143-153,343,001

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