Q: What are the prime factors of the number 962,432?

 A: 2, 73, 103

Why are those the prime factors of the number 962,432?

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 962,432

962,432
Factor Arrows
2481,216
Factor Arrows
2240,608
Factor Arrows
2120,304
Factor Arrows
260,152
Factor Arrows
230,076
Factor Arrows
215,038
Factor Arrows
27,519
Factor Arrows
73103

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, 73, 103

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 73 x 103 = 962,432

This can also be written as 27 x 731 x 1031 = 962,432

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


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