Q: What are the prime factors of the number 20,417,536?

 A: 2, 127, 157

Why are those the prime factors of the number 20,417,536?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 20,417,536

20,417,536
Factor Arrows
210,208,768
Factor Arrows
25,104,384
Factor Arrows
22,552,192
Factor Arrows
21,276,096
Factor Arrows
2638,048
Factor Arrows
2319,024
Factor Arrows
2159,512
Factor Arrows
279,756
Factor Arrows
239,878
Factor Arrows
219,939
Factor Arrows
127157

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 127, 157

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 127 x 157 = 20,417,536

This can also be written as 210 x 1271 x 1571 = 20,417,536

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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