Q: What are the factor combinations of the number 738,500,706?

 A:
Positive:   1 x 7385007062 x 3692503533 x 2461669026 x 1230834519 x 8205563417 x 4344121818 x 4102781727 x 2735187834 x 2172060951 x 1448040654 x 13675939102 x 7240203153 x 4826802306 x 2413401459 x 1608934541 x 1365066918 x 8044671082 x 6825331487 x 4966381623 x 4550222974 x 2483193246 x 2275114461 x 1655464869 x 1516748922 x 827739197 x 802989738 x 7583713383 x 5518214607 x 5055818394 x 4014925279 x 2921426766 x 27591
Negative: -1 x -738500706-2 x -369250353-3 x -246166902-6 x -123083451-9 x -82055634-17 x -43441218-18 x -41027817-27 x -27351878-34 x -21720609-51 x -14480406-54 x -13675939-102 x -7240203-153 x -4826802-306 x -2413401-459 x -1608934-541 x -1365066-918 x -804467-1082 x -682533-1487 x -496638-1623 x -455022-2974 x -248319-3246 x -227511-4461 x -165546-4869 x -151674-8922 x -82773-9197 x -80298-9738 x -75837-13383 x -55182-14607 x -50558-18394 x -40149-25279 x -29214-26766 x -27591


How do I find the factor combinations of the number 738,500,706?

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 738,500,706, 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.

1 738,500,706
-1 -738,500,706

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 738,500,706.

Example:
1 x 738,500,706 = 738,500,706
and
-1 x -738,500,706 = 738,500,706
Notice both answers equal 738,500,706

With that explanation out of the way, let's continue. Next, we take the number 738,500,706 and divide it by 2:

738,500,706 ÷ 2 = 369,250,353

If the quotient is a whole number, then 2 and 369,250,353 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 369,250,353 738,500,706
-1 -2 -369,250,353 -738,500,706

Now, we try dividing 738,500,706 by 3:

738,500,706 ÷ 3 = 246,166,902

If the quotient is a whole number, then 3 and 246,166,902 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 246,166,902 369,250,353 738,500,706
-1 -2 -3 -246,166,902 -369,250,353 -738,500,706

Let's try dividing by 4:

738,500,706 ÷ 4 = 184,625,176.5

If the quotient is a whole number, then 4 and 184,625,176.5 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 2 3 246,166,902 369,250,353 738,500,706
-1 -2 -3 -246,166,902 -369,250,353 738,500,706
Keep dividing by the next highest number until you cannot divide anymore.

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

123691718273451541021533064595419181,0821,4871,6232,9743,2464,4614,8698,9229,1979,73813,38314,60718,39425,27926,76627,59129,21440,14950,55855,18275,83780,29882,773151,674165,546227,511248,319455,022496,638682,533804,4671,365,0661,608,9342,413,4014,826,8027,240,20313,675,93914,480,40621,720,60927,351,87841,027,81743,441,21882,055,634123,083,451246,166,902369,250,353738,500,706
-1-2-3-6-9-17-18-27-34-51-54-102-153-306-459-541-918-1,082-1,487-1,623-2,974-3,246-4,461-4,869-8,922-9,197-9,738-13,383-14,607-18,394-25,279-26,766-27,591-29,214-40,149-50,558-55,182-75,837-80,298-82,773-151,674-165,546-227,511-248,319-455,022-496,638-682,533-804,467-1,365,066-1,608,934-2,413,401-4,826,802-7,240,203-13,675,939-14,480,406-21,720,609-27,351,878-41,027,817-43,441,218-82,055,634-123,083,451-246,166,902-369,250,353-738,500,706

More Examples

Here are some more numbers to try:

738,500,704738,500,705738,500,707738,500,708
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