Q: What are the factor combinations of the number 342,534,745?

 A:
Positive:   1 x 3425347455 x 685069497 x 4893353523 x 1489281535 x 978670749 x 699050589 x 3848705115 x 2978563161 x 2127545245 x 1398101445 x 769741623 x 549815683 x 501515805 x 4255091127 x 3039352047 x 1673353115 x 1099633415 x 1003034361 x 785454781 x 716455635 x 6078710235 x 3346714329 x 2390515709 x 21805
Negative: -1 x -342534745-5 x -68506949-7 x -48933535-23 x -14892815-35 x -9786707-49 x -6990505-89 x -3848705-115 x -2978563-161 x -2127545-245 x -1398101-445 x -769741-623 x -549815-683 x -501515-805 x -425509-1127 x -303935-2047 x -167335-3115 x -109963-3415 x -100303-4361 x -78545-4781 x -71645-5635 x -60787-10235 x -33467-14329 x -23905-15709 x -21805


How do I find the factor combinations of the number 342,534,745?

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 342,534,745, 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.

1 342,534,745
-1 -342,534,745

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 342,534,745.

Example:
1 x 342,534,745 = 342,534,745
and
-1 x -342,534,745 = 342,534,745
Notice both answers equal 342,534,745

With that explanation out of the way, let's continue. Next, we take the number 342,534,745 and divide it by 2:

342,534,745 ÷ 2 = 171,267,372.5

If the quotient is a whole number, then 2 and 171,267,372.5 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:

1 342,534,745
-1 -342,534,745

Now, we try dividing 342,534,745 by 3:

342,534,745 ÷ 3 = 114,178,248.3333

If the quotient is a whole number, then 3 and 114,178,248.3333 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:

1 342,534,745
-1 -342,534,745

Let's try dividing by 4:

342,534,745 ÷ 4 = 85,633,686.25

If the quotient is a whole number, then 4 and 85,633,686.25 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:

1 342,534,745
-1 342,534,745
Keep dividing by the next highest number until you cannot divide anymore.

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

157233549891151612454456236838051,1272,0473,1153,4154,3614,7815,63510,23514,32915,70921,80523,90533,46760,78771,64578,545100,303109,963167,335303,935425,509501,515549,815769,7411,398,1012,127,5452,978,5633,848,7056,990,5059,786,70714,892,81548,933,53568,506,949342,534,745
-1-5-7-23-35-49-89-115-161-245-445-623-683-805-1,127-2,047-3,115-3,415-4,361-4,781-5,635-10,235-14,329-15,709-21,805-23,905-33,467-60,787-71,645-78,545-100,303-109,963-167,335-303,935-425,509-501,515-549,815-769,741-1,398,101-2,127,545-2,978,563-3,848,705-6,990,505-9,786,707-14,892,815-48,933,535-68,506,949-342,534,745

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