Q: What are the factor combinations of the number 40,136,525?

 A:
Positive:   1 x 401365255 x 802730511 x 364877513 x 308742525 x 160546155 x 72975565 x 617485103 x 389675109 x 368225143 x 280675275 x 145951325 x 123497515 x 77935545 x 73645715 x 561351133 x 354251199 x 334751339 x 299751417 x 283252575 x 155872725 x 147293575 x 112275665 x 70855995 x 6695
Negative: -1 x -40136525-5 x -8027305-11 x -3648775-13 x -3087425-25 x -1605461-55 x -729755-65 x -617485-103 x -389675-109 x -368225-143 x -280675-275 x -145951-325 x -123497-515 x -77935-545 x -73645-715 x -56135-1133 x -35425-1199 x -33475-1339 x -29975-1417 x -28325-2575 x -15587-2725 x -14729-3575 x -11227-5665 x -7085-5995 x -6695


How do I find the factor combinations of the number 40,136,525?

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 40,136,525, 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 40,136,525
-1 -40,136,525

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 40,136,525.

Example:
1 x 40,136,525 = 40,136,525
and
-1 x -40,136,525 = 40,136,525
Notice both answers equal 40,136,525

With that explanation out of the way, let's continue. Next, we take the number 40,136,525 and divide it by 2:

40,136,525 ÷ 2 = 20,068,262.5

If the quotient is a whole number, then 2 and 20,068,262.5 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 40,136,525
-1 -40,136,525

Now, we try dividing 40,136,525 by 3:

40,136,525 ÷ 3 = 13,378,841.6667

If the quotient is a whole number, then 3 and 13,378,841.6667 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 40,136,525
-1 -40,136,525

Let's try dividing by 4:

40,136,525 ÷ 4 = 10,034,131.25

If the quotient is a whole number, then 4 and 10,034,131.25 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 40,136,525
-1 40,136,525
Keep dividing by the next highest number until you cannot divide anymore.

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

1511132555651031091432753255155457151,1331,1991,3391,4172,5752,7253,5755,6655,9956,6957,08511,22714,72915,58728,32529,97533,47535,42556,13573,64577,935123,497145,951280,675368,225389,675617,485729,7551,605,4613,087,4253,648,7758,027,30540,136,525
-1-5-11-13-25-55-65-103-109-143-275-325-515-545-715-1,133-1,199-1,339-1,417-2,575-2,725-3,575-5,665-5,995-6,695-7,085-11,227-14,729-15,587-28,325-29,975-33,475-35,425-56,135-73,645-77,935-123,497-145,951-280,675-368,225-389,675-617,485-729,755-1,605,461-3,087,425-3,648,775-8,027,305-40,136,525

More Examples

Here are some more numbers to try:

40,136,52340,136,52440,136,52640,136,527
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