Q: What are the factor combinations of the number 142,101,323?

 A:
Positive:   1 x 1421013237 x 2030018913 x 1093087119 x 747901749 x 290002759 x 240849791 x 1561553133 x 1068431199 x 714077247 x 575309413 x 344071637 x 223079767 x 185269931 x 1526331121 x 1267631393 x 1020111729 x 821872587 x 549292891 x 491533781 x 375835369 x 264677847 x 181099751 x 1457311741 x 12103
Negative: -1 x -142101323-7 x -20300189-13 x -10930871-19 x -7479017-49 x -2900027-59 x -2408497-91 x -1561553-133 x -1068431-199 x -714077-247 x -575309-413 x -344071-637 x -223079-767 x -185269-931 x -152633-1121 x -126763-1393 x -102011-1729 x -82187-2587 x -54929-2891 x -49153-3781 x -37583-5369 x -26467-7847 x -18109-9751 x -14573-11741 x -12103


How do I find the factor combinations of the number 142,101,323?

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 142,101,323, 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.

1 142,101,323
-1 -142,101,323

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 142,101,323.

Example:
1 x 142,101,323 = 142,101,323
and
-1 x -142,101,323 = 142,101,323
Notice both answers equal 142,101,323

With that explanation out of the way, let's continue. Next, we take the number 142,101,323 and divide it by 2:

142,101,323 ÷ 2 = 71,050,661.5

If the quotient is a whole number, then 2 and 71,050,661.5 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:

1 142,101,323
-1 -142,101,323

Now, we try dividing 142,101,323 by 3:

142,101,323 ÷ 3 = 47,367,107.6667

If the quotient is a whole number, then 3 and 47,367,107.6667 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:

1 142,101,323
-1 -142,101,323

Let's try dividing by 4:

142,101,323 ÷ 4 = 35,525,330.75

If the quotient is a whole number, then 4 and 35,525,330.75 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:

1 142,101,323
-1 142,101,323
Keep dividing by the next highest number until you cannot divide anymore.

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

1713194959911331992474136377679311,1211,3931,7292,5872,8913,7815,3697,8479,75111,74112,10314,57318,10926,46737,58349,15354,92982,187102,011126,763152,633185,269223,079344,071575,309714,0771,068,4311,561,5532,408,4972,900,0277,479,01710,930,87120,300,189142,101,323
-1-7-13-19-49-59-91-133-199-247-413-637-767-931-1,121-1,393-1,729-2,587-2,891-3,781-5,369-7,847-9,751-11,741-12,103-14,573-18,109-26,467-37,583-49,153-54,929-82,187-102,011-126,763-152,633-185,269-223,079-344,071-575,309-714,077-1,068,431-1,561,553-2,408,497-2,900,027-7,479,017-10,930,871-20,300,189-142,101,323

More Examples

Here are some more numbers to try:

142,101,321142,101,322142,101,324142,101,325
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