Q: What are the factor combinations of the number 743,418,335?

 A:
Positive:   1 x 7434183355 x 14868366711 x 6758348529 x 2563511555 x 1351669789 x 8353015145 x 5127023319 x 2330465445 x 1670603979 x 7593651595 x 4660932581 x 2880354895 x 1518735237 x 14195512905 x 5760726185 x 28391
Negative: -1 x -743418335-5 x -148683667-11 x -67583485-29 x -25635115-55 x -13516697-89 x -8353015-145 x -5127023-319 x -2330465-445 x -1670603-979 x -759365-1595 x -466093-2581 x -288035-4895 x -151873-5237 x -141955-12905 x -57607-26185 x -28391


How do I find the factor combinations of the number 743,418,335?

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 743,418,335, 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.

1 743,418,335
-1 -743,418,335

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 743,418,335.

Example:
1 x 743,418,335 = 743,418,335
and
-1 x -743,418,335 = 743,418,335
Notice both answers equal 743,418,335

With that explanation out of the way, let's continue. Next, we take the number 743,418,335 and divide it by 2:

743,418,335 ÷ 2 = 371,709,167.5

If the quotient is a whole number, then 2 and 371,709,167.5 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:

1 743,418,335
-1 -743,418,335

Now, we try dividing 743,418,335 by 3:

743,418,335 ÷ 3 = 247,806,111.6667

If the quotient is a whole number, then 3 and 247,806,111.6667 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:

1 743,418,335
-1 -743,418,335

Let's try dividing by 4:

743,418,335 ÷ 4 = 185,854,583.75

If the quotient is a whole number, then 4 and 185,854,583.75 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:

1 743,418,335
-1 743,418,335
Keep dividing by the next highest number until you cannot divide anymore.

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

15112955891453194459791,5952,5814,8955,23712,90526,18528,39157,607141,955151,873288,035466,093759,3651,670,6032,330,4655,127,0238,353,01513,516,69725,635,11567,583,485148,683,667743,418,335
-1-5-11-29-55-89-145-319-445-979-1,595-2,581-4,895-5,237-12,905-26,185-28,391-57,607-141,955-151,873-288,035-466,093-759,365-1,670,603-2,330,465-5,127,023-8,353,015-13,516,697-25,635,115-67,583,485-148,683,667-743,418,335

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