Q: What are the factor combinations of the number 733,423,265?

 A:
Positive:   1 x 7334232655 x 14668465317 x 4314254531 x 2365881543 x 1705635585 x 8628509155 x 4731763215 x 3411271527 x 1391695731 x 10033151333 x 5502052635 x 2783393655 x 2006636473 x 1133056665 x 11004122661 x 32365
Negative: -1 x -733423265-5 x -146684653-17 x -43142545-31 x -23658815-43 x -17056355-85 x -8628509-155 x -4731763-215 x -3411271-527 x -1391695-731 x -1003315-1333 x -550205-2635 x -278339-3655 x -200663-6473 x -113305-6665 x -110041-22661 x -32365


How do I find the factor combinations of the number 733,423,265?

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 733,423,265, 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.

1 733,423,265
-1 -733,423,265

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 733,423,265.

Example:
1 x 733,423,265 = 733,423,265
and
-1 x -733,423,265 = 733,423,265
Notice both answers equal 733,423,265

With that explanation out of the way, let's continue. Next, we take the number 733,423,265 and divide it by 2:

733,423,265 ÷ 2 = 366,711,632.5

If the quotient is a whole number, then 2 and 366,711,632.5 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:

1 733,423,265
-1 -733,423,265

Now, we try dividing 733,423,265 by 3:

733,423,265 ÷ 3 = 244,474,421.6667

If the quotient is a whole number, then 3 and 244,474,421.6667 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:

1 733,423,265
-1 -733,423,265

Let's try dividing by 4:

733,423,265 ÷ 4 = 183,355,816.25

If the quotient is a whole number, then 4 and 183,355,816.25 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:

1 733,423,265
-1 733,423,265
Keep dividing by the next highest number until you cannot divide anymore.

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

15173143851552155277311,3332,6353,6556,4736,66522,66132,365110,041113,305200,663278,339550,2051,003,3151,391,6953,411,2714,731,7638,628,50917,056,35523,658,81543,142,545146,684,653733,423,265
-1-5-17-31-43-85-155-215-527-731-1,333-2,635-3,655-6,473-6,665-22,661-32,365-110,041-113,305-200,663-278,339-550,205-1,003,315-1,391,695-3,411,271-4,731,763-8,628,509-17,056,355-23,658,815-43,142,545-146,684,653-733,423,265

More Examples

Here are some more numbers to try:

733,423,263733,423,264733,423,266733,423,267
Try the factor calculator

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